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Faculty of

SCIENCE

Welcome to the Faculty of Science of the Peoples Friendship University of Russia (RUDN University).
This booklet is a compilation of present research activities in Chemistry, Physics, IT-technologies and
Mathematics, disciplines which are closely interlinked at the Faculty through several long-standing
research projects. We hope this compact presentation will provide you with stimulating new perspectives
and open new opportunities for a scientific cooperation with our scientists.

Professor Leonid G. Voskressensky,
Dean of the Science Faculty,
RUDN University
[email protected]

Contents

Institute of Physical Research & Technologies 4

The S.M. Nikolskii Mathematical Institute 28

The Applied Mathematics & 32
Communications Technology Institute

Research Institute of Chemistry 40

The Department of Inorganic Chemistry 50

The Department of Organic Chemistry 56

Physical & Colloidal Chemistry Department 64

The Department of General Chemistry 70

Shared Research and Educational Center 76
of Physico-Chemical Studies of New Materials,
Substances & Catalytic Systems

Institute of Physical Research
& Technologies

Institute of Physical Research & Technologies institutions train students in basic educational
(IPRT) is a structural unit of the Faculty of Science programs of professional education in physics and
of the RUDN with a special status, consisting special disciplines of the physics profile, additional
of the independent conduct of financial and educational programs, organization of educational
economic activities and carried out in cooperation and methodical work, carrying out research and
with the structural units of the University and educational work with students, research and
other interested government organizations and international activities.

+7 495 955-08-13
4 [email protected]

IPRT was organized in 2017 by means of the of General Physics, Department of Theoretical
reorganization of 5 Departments of the RUDN Mechanics. Today, IPRT is the only Department of
University related to the physics: Department the RUDN University, which provides the education in
of Applied Physics, Department of Radiophysics, physics at all levels (bachelor, master, PhD) combining
Department of Theoretical Physics, Department it with both fundamental and applied research.

5

Professor Victor I. Ilgisonis IPRT is headed by Prof. Victor I. Ilgisonis, who is also the director for
R&D of the State Atomic Energy Corporation «Rosatom».
The scientific activity in IPRT is mainly focused on the specific
applications in scientific instrumentation, plasma physics, high energy
physics, materials science, biomedical technol­ogies and ecology. Some
of them are described below.
Victor I. Ilgisonis was born in 1959 in Moscow, USSR. The holder of the
Master degree with honor in experimental nuclear physics from Moscow
Institute for Physics and Technology. PhD thesis is in plasma physics
completed under the supervision of Prof. M.S. Ioffe at the Kurchatov
Institute after that he received a permanent position there. In 1992,
1997 – Visiting Research Scientist at the Institute for Fusion Studies
(University of Texas at Austin, USA), Courant Mathematical Institute
(New York University, New York, USA), FOM – Institut voor Plasmafysica
(Rijnhuizen, Netherlands).
Since 2002 Prof. V. Ilgisonis has headed the Plasma Theory Division at
the Kurchatov Institute succeeding in this position Academician Vitali
Shafranov; in 2015 - 2017 – director of the National Research Center of
the Kurchatov Institute. Since 2007 Prof. Ilgisonis has also been Head
of Experimental Physics Division at the RUDN University – part of the
present-day IPRT. The research interests lie in magnetohydrodynamics
and applications, nonlinear stability problem in plasmas and
hydrodynamics, the kinetics of magnetized collisionless plasma, plasma
astrophysics. More than 100 papers have been published in peer-
reviewed journals.

THEORY OF PLASMA FLOWS IN THE MAGNETIC FIELDS

The research group under the supervision of Prof. The realization of the controlled nuclear fusion is one of
V. Ilgisonis includes the members and the students the most fascinating scientific and technical problems
of the Institute for Physics Research & Technology faced by the humankind in the second half of the 20-th
of the RUDN University who also form the staff of Century. The approach based on the magnetic confinement
the Laboratory of Non-Equilibrium Plasma at the of high-temperature plasma is highly developed and is
Kurchatov Institute headed by Dr. E. Sorokina. The usually considered more promising for energy production.
research activity of the group covers the different Since 1960s the magnetic fusion in the world has
aspects of plasma kinetics, magnetohydrodynamics mostly been based on tokamaks – axisymmetric devices
(MHD) and their applications to nuclear fusion and with magnetic field produced by a combination of the
plasma thrusters. external coils and plasma current. Our team is involved
in international scientific activity working on the actual
tasks of plasma physics and magnetic fusion focusing on
the role of plasma flows in the magnetic fields.

6

Institute of PHYSICAL & RESEARCH TECHNOLOGIES
Spontaneous current generation and intrinsic plasma rotation in tokamaks

Status  The generation of the bootstrap current is Advantages  The exact time evolution of the
a peculiar phenomenon having its origin in the specific distribution function we have calculated allows us to
configuration of the tokamak’s non-uniform magnetic present local values of the distribution function and
field, possessing toroidal–helical symmetry. The effect is of the flows with no imperative averaging over the
of a kinetic nature and is caused by the coexistence of magnetic surface. The calculations have been performed
the passing and trapped particles in the tokamak plasma; for a whole plasma volume including the magnetic axis
hence, it cannot be described in a cylindrical approximation. neighborhood.
The idea of sustaining the toroidal current in a tokamak at
the expense of the bootstrap effect looks very attractive Results  The density of the generated toroidal
for a stationary tokamak reactor, being alternative to the current is not a function of a magnetic surface and is
existing expensive and energy consuming methods of strongly polarized in the poloidal cross section, the
non-inductive current generation. The theory of bootstrap amplitude of current oscillations being substantially larger
current is being extensively developed with the help of than the mean current on the magnetic surface (Fig.1).
both analytical and numerical methods. The spontaneous The formal averaging of the generated current over a
(with no external momentum input) generation of plasma magnetic surface seems unjustified. The mechanism of
rotation in a tokamak is also a very intriguing phenomenon non-inductive current generation is clarified. In contrast
that still needs a theoretical explanation. to the neoclassical assumptions, passing particles
substantially deviate from the magnetic surfaces. This
Aim  We calculate the flows of plasma components leads, in particular, to the generation of a negative
resulted from the spontaneous anizotropization of the current on the inner side of the magnetic surface. On
distribution function due to the particles collisionless the magnetic axis, the current is mainly generated due
motion in the electromagnetic field. to asymmetry of the phase space boundary between
trapped and passing particles starting with opposite
Approach  We exploit the newly developed fully velocities from a spatially non-uniform source (Fig.2). It is
3D kinetic approach based on the calculation of the shown that, since the drift surfaces do not coincide with
real particles trajectories. Our approach is free from the magnetic ones, the current density on the tokamak
the approximations of the standard neoclassical theory axis cannot be unambiguously characterized by the initial
and of drift theory; all types of particles trajectories density gradient on the starting magnetic surface, but
are calculated with no requirement on the narrow orbit depends nonlocally on the source inhomogeneity. Model
width; the calculations are verified by use of the exact scalings for the bootstrap current are proposed.
conservation laws.

Fig.1. The density of the bootstrap current Fig.2. The distribution function on the tokamak magnetic axis resulted
generated in the discharge with a current hole from time evolution of initially isotropic but nonhomogeneous source

7

Plasma confinement in stochastic magnetic field

Status  Field lines of a Fig.3. The interface of the computer code for the calculation of particle trajectories
solenoidal vector field in a finite
domain can form closed loops, wind
around surfaces forming topological
tori, and ergodically fill subvolumes
of a given region. The interest in
field line structures of these types
is usually associated with the
general problems in regular and
stochastic dynamics of Hamiltonian
systems. Even though the ergodic
fields are definitely more general
topologically, the toroidal surface
structure of phase trajectories of
a dynamical system dictated by
the initial or boundary conditions
is known to survive under relatively
weak perturbations according to
the KAM theorem. However, the
ergodization of the magnetic field
lines in the domain surrounded by
a closed toroidal magnetic surface
is possible even in regular field
configuration (with nonvanishing
toroidal component of the magnetic
field).

Aim  We study the ergonization
of the magnetic field lines in toroidal
magnetic fusion systems and the
motions of charged particles in such
magnetic fields so it is important to
analyze the suitability of the fields
for plasma confinement.

Approach  We use unified Fig.4. The interface of the computer code for the calculation of Poincare maps of the magnetic field lines
Hamiltonian approach to describe
the magnetic fields of arbitrary
magnetic field line topologies –
nested toroidal (possibly asymmetric)
flux surfaces, magnetic islands, and
ergodic field lines. Fully 3D authorial
computer codes are developed for
calculations of charged particle
trajectories (Fig.3) and Poincare
maps of the magnetic field lines
(Fig.4). The codes use different types
of numerical integrators including
symplectic integrators.

Advantages  The use of the Fig.5. Example of the ergodic
Hamiltonian formalism to describe magnetic field line in tokamak
the magnetic field guarantees it is
divergence free and allows us to de-
scribe magnetic fields with toroidal-
ly nested magnetic surfaces, island
structures and ergodic areas in a
unified way.

8

Institute of PHYSICAL & RESEARCH TECHNOLOGIES

Results  The possibilities of in- strated that magnetic islands and stochastic. The regular trajectory is
troducing and using flux and current large subvolumes ergodically filled by typical for a particle trapped in the
representations are explored for a magnetic field lines can exist even in region with relatively high poloidal
topologically general toroidal mag- a toroidal region bounded by nested magnetic field while particles travel-
netic field configuration including magnetic flux surfaces. The motion ling through the area with near-zero
magnetic islands and volume filling of the charged particle in such mag- poloidal magnetic field demonstrate
ergodic field lines (Fig.5). It is demon- netic field can be both regular and stochastic trajectories.

Low frequency hydrodynamic instabilities and
zonal flow generation in a tokamak

Status  Geodesic acoustic modes (GAMs) have as an eigenmode for different profiles of the plasma
been actively studied in recent years both theoretically temperature and tokamak safety factor.
and experimentally. These modes involve oscillations
of perturbed pressure and mass density induced by Results  We have discovered the unstable branches
plasma compressibility due to geodesic curvature of the of zonal flows for certain rotational plasma equilibria
magnetic lines of forces, inherently present in toroidal (Fig.6). We have also found the analytical solution for
configurations. The modes are localized on the flux global GAM as well as the condition of its appearance
surfaces and characterized by poloidally uniform radial in a tokamak with positive magnetic shear profile. If the
electric field and poloidally oscillating perturbations of local GAM frequency has no off-axis maximum, for a
plasma pressure and mass density. Theoretical analysis positive magnetic shear profile and monotonic profile of
suggests an important role of such modes in turbulence the temperature, the global mode exists if these profiles
and anomalous transport regulation, in particular in have flat regions in the plasma core. The mode is not
plasmas with a significant fraction of high-energy radially localized and has the significant amplitude in the
particles. Most of the theoretical studies of GAMs and whole plasma area where the gradient of the local GAM
related zonal flows have been performed for static frequency is small.
plasma equilibria in a local approximation.

Aim  We expand the theoretical analysis of GAMs and
zonal flows for rotating tokamak plasmas. We are especially
interested in finding the global modes, which should be
preferentially observed in tokamak experiments.

Approach  Analytical stability analysis in the
frame of MHD theory. The authorized computer code
was developed for the solution of the corresponding
eigenvalue problem in a matrix view.

Advantages  We develop a theory applicable Fig.6. Unstable branch of zonal flows existing in equilibrium
for a rotational plasma equilibrium taking into account with isoentropic magnetic surfaces and plasma rotation with
both toroidal and poloidal plasma rotation. We study finite toroidal and poloidal Mach numbers
a possibility for a global GAM solution to be realized

Nonlinear processes and waves in
partially magnetized plasmas with high energy components and flows

Status  Partially magnetized plasmas with including Hall thrusters, high-current plasma switches
for the reliable commutation of electrical grids, and
moderate values of the magnetic field, in which the ions magnetic filters for negative ion sources, including those
are not or weakly magnetized, have distinctly different for ITER project. Despite the commercial success of some
properties from strongly magnetized plasmas such as of the devices and applications operating in the regime
that for fusion applications and represent a poorly studied of partially magnetized plasmas (e.g., Hall thrusters and
physics situation. The natural scale separation between sputtering magnetrons), the key aspects of their operation
the ion and electron Larmor radii offers unique ways are often not well understood. On a fundamental level,
to create and control such plasmas that are used for one of the difficulties is poor understanding of turbulence
numerous industrial applications: new nanoscale material and transport in these plasmas. As an example of such a
processing technologies, compact plasma accelerators fundamental problem, one can mention a nature of the
and X-ray sources, the sources of multiple charged ions, anomalous electron current across the magnetic field,
sputtering magnetrons, advanced plasma propulsion,

9

which typically exceeds classical equilibrium electron current and three spatially-separated areas
values by orders of magnitude accelerated ions flow, turbulent characterized by different types of
and formation of large scale transport and energy exchange unstable oscillations: (i) the near-
rotating structures. The absence between electrons and ions, and anode region with purely azimuthal
of the physical models for a cross- the eigenmode analysis. Nonlinear long-wavelength oscillations, (ii) the
field current and for the nature of fluid simulations are used to study main part of the acceleration channel
ubiquitously observed large-scale specific plasma instabilities by with axial short-wavelength modes,
coherent structures appears to be isolating separate effects of plasma (iii) the plume region with oblique
the key obstacle for future progress and magnetic field gradients, propagating waves. We have shown
in such areas as electric propulsion electric field, electron and ion that the low-frequency large-scale
when scaling the device parameters beams. The nonlinear fluid models structures often observed in Hall
(e.g., to larger power) is required. can also be used to optimize the plasma devices may be explained as
global energy and particle balance, a result of nonlinear condensation
Aim  We study the funda­ determine the global parameters: (modulational instability) of small-
mental physics of partially mag­ profiles of density, temperature, and scale fluctuations of the lower-hybrid
netized plasma with an emphasis study the formation of high energy type. The background of primary
on the key elements important for components, characteristics of the lower-hydrid waves can be directly
practical applications in modern accelerated ion/plasma beams. excited by small-scale instabilities,
technologies such as plasma such as that due to collisions of
instabilities, turbulence, structure Advantages  Our theoretical electrons with neutral shear flows,
formation, particle and energy models use the stationary or small-scale cyclotron ExB modes.
transport. plasma thrusters experiments for The phenomenon of large-scale
verification, but they can be also discharge oscillations in stationary
Approach  We use fluid simu­ applied for a wide range of plasma plasma thruster has been physically
la­ti­ons and analytical theory to conditions and parameters. interpreted by analyzing global
develop the physical models of modes of gradient drift instability. It
nonlinear processes in partially Results  Plasma stability has been shown that the eigenmodes
magnetized plasmas with magne­ with respect to lower-hybrid can form wave packets (Fig.7)
tized electrons and non-magnetized oscillations in plasma accelerators the main characteristics of which
ions. The analytical work includes the has been studied theoretically and in the linear stage of instability
development of nonlinear two-fluid numerically for typical experimental coincide with the parameters of the
equations that include the effects profiles. It has been found that the experimentally observed large-scale
of gyroviscosity in inhomogenous acceleration channel of stationary azimuthal spoke-like structures in
magnetic field, the effects of plasma thruster can be divided into Hall plasmas.

Fig.7. Plasma formation in a Hall-type plasma thruster arising due to gradient-drift instability

RECENT SELECTED PAPERS magnetic island. Journal of Physics Conference Series (2017). V. 907,
article № 012008.
[1]  V.P. Lakhin, E.A. Sorokina. Geodesic acoustic eigenmode for
tokamak equilibrium with maximum of local GAM frequency. Phys. [4]  V.I. Ilgisonis, A.A. Skovoroda, E.A. Sorokina. On the toroidal
Lett. A (2014). V. 378, p. 535. surfaces of revolution with constant mean curvatures. Physics of
Atomic Nuclei (2017). V. 80, p. 1307.
[2]  A.A. Skovoroda, E.A. Sorokina. Islands and ergodicity of the
plasmac in toroidal magnetic confinement systems. Plasma Phys. [5]  V.I. Ilgisonis, I.V. Khalzov, V.P. Lakhin, A.I. Smolyakov, E.A. Sorokina.
Rep. (2014). V. 40, p. 424. Global geodesic acoustic mode in a tokamak with positive magnetic
shear and monotonic temperature profile. Plasma Phys. Control.
[3]  O.I. Podturova. Collisionless distribution function of charged Fusion (2014). V. 56, article № 035001.
particles ensemble in a tokamak magnetic configuration with

10

Institute of PHYSICAL & RESEARCH TECHNOLOGIES

Alexander A. Skovoroda Ekaterina A. Sorokina Vladimir P. Lakhin Nikita A. Marusov

Leading scientist at RUDN, Prof. associate at RUDN, Senior scientist at RUDN, Junior scientist at RUDN,
born 1949 in Moscow, USSR. born 1986 in Moscow, USSR. born 1959 in Cherkessk, born 1994 in Warsaw,
Master degree in physics Master degree in condensed USSR. Master degree in Poland. Master degree
from M.V. Lomonosov matter physics from Moscow radioelectronic devices in applied mathematics
Moscow State University in Engineering Physics Institute from Moscow Institute of and physics from Mos-
1972. D Sci degree in 1993. in 2009. PhD degree in Physics and Technology cow Institute of Physics
Chief research scientist at plasma physics in 2012. in 1983. D Sci degree in and Technology in 2017.
the National Research Center Head of the Laboratory of 2014. Leading research Junior research scientist
«Kurchatov Institute». Non-Equilibrium Plasma scientist at the Kurcha- at Kurchatov Institute.
Veteran of nuclear energy at the Kurchatov Institute. tov Institute. Research Research interests in
and industry. Research Research interests in interests in waves, in- magnetohydrodynamics,
interests in plasma physics, plasma physics, hamiltonian stabilities, turbulence, plasma simulation, ki-
magnetic traps, plasma systems, kinetics, numerical magnetohydrodynamics, netic  theory, astrophys-
confinement. More than 100 simulations. Author of 25 nonlinear dynamics, con- ics. Author of 7 papers in
papers published in peer- papers in peer-reviewed trolled fusion. More than peer-reviewed journals.
reviewed journals. journals. 60 papers published in
peer-reviewed journals.

[6]  V.I. Ilgisonis, L.V. Konovaltseva, V.P. Lakhin, E.A. Sorokina. [14]  V.P. Lakhin, V.I. Ilgisonis, A.I. Smolyakov, E.A. Sorokina, N.A.
Analytical solutions for global geodesic acoustic modes in tokamak Marusov. Effects of finite electron temperature on gradient drift
plasmas. Plasma Phys. Rep. (2014). V. 40, p. 843. instabilities in partially magnetized plasmas. Phys. Plasmas (2018).
V. 25, article № 012106.
[7]  V.P. Lakhin, E.A. Sorokina, V.I. Ilgisonis, L.V. Konovaltseva. MHD-
model for low-frequency waves in a tokamak with toroidal plasma [15]  V.P. Lakhin, V.I. Ilgisonis, A.I. Smolyakov, E.A. Sorokina, N.A.
rotation and problem of existence of global geodesic acoustic Marusov. Marginal stability, characteristic frequencies, and growth
modes. Plasma Phys. Rep. (2015). V. 41, p. 975. rates of gradient drift modes in partially magnetized plasmas with
finite electron temperature. Phys. Plasmas (2018). V. 25, article №
[8]  E.A. Sorokina, V.P. Lakhin, L.V. Konovaltseva, V.I. Ilgisonis. Geodesic 012107.
acoustic modes in noncircular cross-section tokamaks. Plasma Phys.
Rep. (2017). V. 43, p. 271. [16]  E.A. Sorokina, N.A. Marusov, V.P. Lakhin, V.I. Ilgisonis. Discharge
oscillations in Morozov’s stationary plasma thruster as a manifestation
[9]  A.A. Skovoroda, E.A. Sorokina. Geodesic acoustic mode in an of large-scale modes of gradient drift instability. Plasma Phys. Rep.
elliptic cylinder. Plasma Phys. Rep. (2018). V. 44, p. 1076. (2019). V. 45, p. 1.

[10]  V.P. Lakhin, E.A. Sorokina. Low-frequency continuous MHD [17]  N.A. Marusov, E.A. Sorokina, V.P. Lakhin, V.I. Ilgisonis, A.I.
spectrum of toroidally rotating tokamak plasmas with anisotropic Smolyakov. Gradient-drift instability applied to Hall thrusters. Plasma
pressure. Plasma Phys. Rep. (2019). V. 45, p. 179. Sources Sci. Technol. (2019). V. 28, article № 015002.

[11]  V.P. Lakhin, E.A. Sorokina. Low-frequency magnetohydrodynamic [18]  E.A. Sorokina, V.I. Ilgisonis. GGAMq. Certificate of state
spectra of plasmas with anisotropic pressure in axisymmetric toroidal registration of computer programs № 2015614164. Registered in
systems. Phys. Plasmas (2018). V. 25, article № 072111. the Register of computer programs April 8, 2015.

[12]  O. Koshkarov, A.I. Smolyakov, I. Kaganovich, V.I. Ilgisonis. Ion [19]  E.A. Sorokina, O.I.Podturova, S.V. Konovalov, L.V. Konovaltseva.
sound instability driven by the ion flows. Phys. Plasmas (2015). V. 22, MagIsland_Tr. Certificate of state registration of computer programs
article № 052113. № 2018613881. Registered in the Register of computer programs
March 26, 2018.
[13]  V.P. Lakhin, V.I. Ilgisonis, A.I. Smolyakov, E.A. Sorokina. Nonlinear
excitation of long-wavelength modes in Hall plasmas. Phys. Plasmas
(2016). V. 23, article № 102304.

11

NONLINEAR PHENOMENA OF PLASMA-WAVE INTERACTIONS

The studies are performed by the students, PhD Most physical systems are inherently nonlinear in
students, and research scientists of the Institute nature that explains the continuously growing interest
of Physical Research & Technologies under the in nonlinear problems. Contrary to linearized system
supervision of Prof. V.P. Milantiev and Dr. V.A. behavior, which is predictable due to superposition
Turikov. Scientific interests of the group relate to principle, some interesting phenomena such as chaos,
physical phenomena of very different scales, from singularities, etc. can be described by nonlinear equations
nanoscale of laser-made plasma up to galactic and only. Plasma-wave interactions are well known to result
intergalactic scales. in many nonlinear effects, which are often unpredictable
in the frame of basic plasma physics. Few examples of
such effects mostly related to advanced acceleration
methods are given below.

Interaction of the charged particles with the intense electromagnetic radiation

Status  The problem of acceleration of electrons by the quickly oscillating corrections to the
particle-wave interaction is one intense laser radiation. smoothed dynamical variables of
among the «perpetual» problems in electron far from the resonance.
physics. It is caused by its fundamental Approach  Our study is based
character and the demands for on the relativistic equations of motion Results  Laser pulse of
solution many practically significant of electron. Such approach is possible if arbitrary shape and polarization
problems such as acceleration of the intensity of laser radiation is small is described in the quasi-optical
the charged particles, generation of compared to Schwinger limit. Field of approximation. For sufficiently short
electromagnetic radiation, heating of the laser radiation is considered in the pulses, corrections to the transverse
plasmas in the magnetic traps, plasma quasi-optical (paraxial) approximation components of the laser field are
diagnostics and so on. Interest in this in the form of Gaussian beams of shown to be of the first-order
problem has essentially increased arbitrary mode and polarization. In rather than of the second order
after creating intense sources of laser this approximation there is a small quantities in the expansion in the
radiation with intensity of the order parameter: relation of the wave length small parameter. The peculiarities
1018 W/cm2 and higher. Then new to the waist of the Gaussian beam. of the description of higher-mode
possibilities for the ponderomotive If there are no resonant conditions, Gaussian beams are outlined. It is
acceleration of the charged particles it is possible to average equations of shown analytically and numerically
as well as for the acceleration at motion by the method of Bogoliubov. that effective acceleration of an
resonant conditions arise. Cyclotron- In the case of cyclotron autoresonance electron at the small distance at the
autoresonance acceleration of equation of motion is solved by the regime of cyclotron autoresonance
electrons by the intense laser pulse is numerical methods. is possible. It is shown that in the
of special interest. accompanying reference frame
Advantages  The employed moving with the electric drift
Aim  We study the peculiarities method allows us to obtain equations velocity the new resonant effects
of the cyclotron-autoresonant and of motion averaged over the fast arise connected with the effects of
ponderomotive mechanisms of phase of radiation and calculate finite gyroradius.

Strongly nonlinear processes in plasma exited by powerful electromagnetic
pulses and bunches of charged particles

Status  When an ultraintense numerous practical applications in energy accelerators and colliders,
laser pulse interacts with the various fields, from nuclear physics heavy ion fusion, and astrophysics.
dense plasma, a strong quasistatic to medicine. One of the promising From the practical perspective of
magnetic field is generated and applications is the use of these designing advanced plasma sources
the radiation can propagate in the beams in the problem of controlled for beam neutralization, a robust
vicinities of the electron cyclotron fusion. Neutralization and focus theory should be able to predict
and upper hybrid resonances. Such a of intense charged particle beam the self-electric and self-magnetic
resonance interaction can form the pulses by electrons form the basis for fields during beam propagation
high energy ion beams, which have a wide range of applications to high through the background plasma.

12

Institute of PHYSICAL & RESEARCH TECHNOLOGIES

Aim It is important to hot plasma both in Euler and in was qualitatively confirmed by
investigate the mechanism Lagrangian approach. In computer numerical simulations of plasma
of electron heating by an simulations we apply particle-in-cell heating by a laser pulse injected
extraordinary laser wave in the relativistic electromagnetic codes from vacuum. The propagation of a
region of the electron cyclotron and 1D2V and 1D3V. nonlinear right-hand polarized wave
parametric resonance. Coulomb along an external magnetic field in
repulsion of charges in intense ion Advantages Our approach subcritical plasma in the electron
beams leads to their spreading, allows to confirm the theoretical cyclotron resonance region was
thereby deteriorating the beam conclusions with the aid of computer studied. It was shown that a small-
characteristics. Therefore, studies simulations. amplitude plasma wave excited
of methods for charge neutralization in low-density plasma is unstable
of intense beams are very important Results Parametric instability against modulation instability with
in relation to the development of an extraordinary electromagnetic a modulation period equal to the
of new types of high-energy wave in plasma preheated to wavelength of the excited wave.
accelerators, as well as to the use a relativistic temperature was Charge neutralization of a short ion
of relativistic beams in systems of considered. Theoretical analysis bunch passing through a plasma
inertial confinement fusion. of the set of nonlinear equations slab was investigated. It was shown
showed that the growth rate of that a fraction of plasma electrons
Approach In our theoretical decay instability increases with is trapped by the bunch under
analysis we use the relativistic increasing initial temperature the action of collective charge
hydrodynamic equations for a of plasma electrons. This result separation field.

RECENT SELECTED PAPERS [4] V.G. Dorofeenko, V.B. Krasovitskiy, V.A. Turikov. Parametric decay
of an extraordinary electromagnetic wave in relativistic plasma.
[1] A.J. Castillo, V.P. Milant’ev. Relativistic ponderomotive forces in the Plasma Phys. Rep. (2015). V. 41, p. 262.
field of intense laser radiation. Technical Physics (2014). V. 59, p. 1261.
[5] V.B. Krasovitskiy, V.A. Turikov. Interaction of an ion bunch with a
[2] V.P. Milant’ev, S.P. Karnilovich, Ya.N. Shaar. Description of high power plasma slab. Plasma Phys. Rep. (2016). V. 42, p. 1066.
laser radiation in the paraxial approximation. Quantum Electronics
(2015). V. 45, p. 1063. [6] V.B. Krasovitskiy, V.A. Turikov. Nonlinear right-hand polarized
wave in plasma in the electron cyclotron resonance region. Plasma
[3] N.A. Abdulov, V.P. Milant’ev. The peculiarities of acceleration of ultra- Phys. Rep. (2018). V. 44, p. 507.
relativistic electrons by the powerful laser radiation at the regime of
cyclotron autoresonance. RUDN Journal of Mathematics, Informatics
Sciences and Physics (2016). № 2, p. 1.

Vladimir P. Milantiev born 1934 in Baku, USSR. Master degree in theoretical
physics from M.V. Lomonosov Moscow State University in 1958. PhD work
in theoretical physics was made under supervision of Prof. Y.P. Terletskiy at
Moscow State University. After that V. Milantiev received a permanent position
at Peoples’ Friendship University of Russia. D Sci degree in theoretical physics
in 1987 from Tbilissi University. In 1976 - 2007 Prof. Vladimir Milantiev has
headed the Experimental Physics Division at RUDN University. Since 2007
he works as a Professor of Experimental Physics Division and Institute of
Physical Research & Technologies at RUDN. Research interests in plasma
physics, magnetohydrodynamics, acceleration of the charged particles. More
than 100 papers published in peer-reviewed journals.
Valery A. Turikov born 1945 in Moscow, USSR. Master degree with honor
in theoretical physics from M.V. Lomonosov Moscow State University in
1968. PhD work in theoretical physics was made under supervision of
Prof. Vladimir P. Milantiev at Peoples’ Friendship University of Russia in
1975. After that V. Turikov received a permanent position there. In 1978,
1986 – Visiting Researcher at Riso National Laboratory (Riso, Denmark),
Helsinki University of Technology (Helsinki, Finland). Research interests in
nonlinear plasma phenomena, interaction of high-power laser irradiation
with plasma, numerical simulation of plasma processes. More than 50
papers published in peer-reviewed journals.

13

Professor Robert G. Mukharlyamov

RESEARCH IN THEORETICAL PHYSICS AND MECHANICS

Theoretical physics research carried out in RUDN Among various scientific topics, which are presented
University is well known due to scientific school now at IPRT, an important place belongs to the thermo­
grounded by Prof. Yakov Terletski and now headed dynamics, statistical physics and solid state theory,
by Prof. Yu. Rybakov whose successors concern especially to the quantum theory of magnetism (QTM)
the different problems of fundamental physics: and to the problem of control and modeling of various
relativistic quantum theory, elementary particles, dynamical systems. The researches are performed by
statistical physics, nonlinear phenomena, and so on. student and post-graduate groups under the supervision
of Prof. Yu.G. Rudoy and Prof.  R.G.  Mukharlyamov.

Control of dynamical systems with the concentrated and distributed parameters

Status  At the present stage, systems and systems with distributed dynamic objects control with regard
a significant problem of dynamics parameters, the solutions of which to the constraint stabilization:
modeling is the construction of correspond to the required conditions construction of dynamical equations
dynamic equations corresponding based on the work of H.P. Erugin of systems with different physical
to the constraint stabilization in the (1952) and significantly developed nature, solving trajectory problems,
numerical solution formulated in the at the Department of theoretical modeling of dynamics of production
well-known work of J. Baumgarte mechanics by the scientific school of facilities, economic and financial
(1972). A new approach to the A.S. Galiullin. systems, problems of strength and
solution of this problem is based reliability of systems operating
on the methods of constructing the under conditions of uncertainty and
dynamical equations of concentrated Aim  We develop the general incompleteness of initial information,
approaches for solving problems of

14

Institute of PHYSICAL & RESEARCH TECHNOLOGIES

creation of algorithms for solving dynamics of the actuators. According equations of dynamics of systems
the problem of control of oil and gas to the preliminary processing of the with concentrated and distributed
transportation and storage facilities results of calculations, neural network parameters corresponding to the
according to observation data. models were built, which allowed to variational principle of Hamilton are
automate the procedure for assessing revealed, the group properties of
Approach  In accordance with the residual life of the oil tank. solutions are investigated. To solve
the dynamic analogies described in the control problems, a mathematical
the works of G. Olson, R.A. Layton, Results  Researches on solving apparatus using neural network
T.K. Sirazetdinov, methods of of the control problem of a closed models and methods of differential
classical mechanics were used to system presented by equations of geometry is developed. According to
solve problems of technical systems classical mechanics with dissipation real data, correlation networks were
management containing elements of and systems of Helmholtz are carried created, the forecast of indicators
different physical nature, economic out. The dynamic parameters of the of the oil industry development for
objects, manufacturing enterprises system are modified with regard two years was established. The
and portfolios of securities. Methods for the constraint stabilization. constructed mathematical models
of reducing systems of differential The conditions of reducibility of are tested on the data of the oil
equations to the structure of the stochastic differential equations industry of Russia and China, taken
Lagrange equations with dissipation with given properties of solutions over the past 25 years.
and to Helmholtz systems are proposed, to the form of Lagrange, Hamilton, The conditions of penetration of
structures of general equations of Birkhoff equations are determined. various substances into tumor
dynamics of infinite-dimensional An algorithm for solving the problem cells, namely cytostatics, cationic
systems corresponding to the Hamilton of rolling the ball on a rotating and anionic photosensitizers, the
variational principle are revealed, plane in the singular case and other accumulation of which is reflected
invariant and group properties of problems of nonholonomic mechanics by anionic and cationic probes were
solutions are investigated, methods is constructed. The value of the thrust studied, their revealed properties
of constraint stabilization are used of the aircraft engine, ensures the were analyzed. Kinetic equations
to solve problems of nonholonomic stability of the trajectory in the vertical describing solutions for different
mechanics with singularities. plane. For the problem of controlling tissues of the human body depending
the dynamics of the wheel system on transmembrane potentials, oxygen
Advantages  The general with an inverted pendulum, a program availability, and, respectively, the rate
approach made it possible to solve for automating the modeling process of division and the stages of the cell
the problems of control of high- using symbolic computation tools has cycle are obtained.
order systems take into account the been developed. The structures of the

Studies in possible generalizations of standard thermodynamics (TD) and
statistical physics – relativistic, quantum, non-additive and finite time TD

Status  The general Fisher existing accepted limitations of TD statistical operator are used where
approach of statistical estimation as in various directions and to seek for both are in the spirit of Bogoliubov
applied to thermodynamics (TD) is ways of their overcoming. Here are, scientific school.
reflected in the author’s monography for example, the additive nature
[Yu.G. Rudoy. Mathematical structure of extensive TD-parameters and Advantages  The approaches
of equilibrium thermodynamics and infinitely slow time processes in as well as the results of our generally
statistical mechanics. Izhewsk, IKI, equilibrium TD. The second aim is formulated aim are rather diverse
2013 (in Russian)]. In particular, it is to find optimal ways for insertion of in the list physical objects are
shown that the minimal error in the new ideas and results in the body of considered – from solid state objects
temperature estimation of thermostat the lecture courses at RUDN. Some up to astrophysical ones.
being in contact with physical object attention is paid also to the physical
coincides with the Gibbs uncertainties historical aspects of such a subject as Results  In relativistic formu­
relation for object’s temperature and TD with rather long and rich history. lation of TD (originally due to M. Planck)
energy. Some statistical-mechanical is found the origin of divergence
problems of solid state physics – Approach  The approaches are with more recent formulation by
and especially the quantum theory rather diverse and in fact not quite new G. Ott is found – i.e., the use of
of magnetism – are also treated but studied still insufficiently – e.g., the different (Hamilton and Lagrange)
– e.g., the magnetocaloric effect in approach to TD from the statistical representations as well as non-linear
anisotropic ferromagnets or magnetic and information-geometrical point connection between momentum and
friction. of view. The method of double-time velocity. This result seems to be rather
temperature Green function as well important and leads to the conclusion
Aim  The aim of our studies as the method of non-equilibrium that the only reasonable definition of
is twofold: first, to elucidate the

15

temperature (excluding the case of expression for the equilibrium visited by the diffusing particle. The
the thermal radiation) is to consider pressure fluctuations. This result is problem of the applicability of so
the temperature as invariant achieved by means of generalization called baroenergetic equation of
quantity. In quantum formulation of well known Bogoliubov-Zubarev state for classical ideal and non-ideal
of TD generalization of famous theorem. This result proves the gases in the astrophysical context
problem of F. Bloch was studied. completeness of the Gibbs version of was analyzed. It was shown that it
The case of one scalar particle in statistical TD. is hardly possible to construct some
confining potential (more exactly, The well known theorem of Mermin model of the quintessence and/or
the Poeschl–Teller oscillator) in the and Wagner, based on the Bogoliubov dark energy with ordinary Hamilton
thermostat was considered instead inequalities, is revised. It is shown function without negative exponents
of Bloch’s unconfined harmonic that the long-range magnetic order in the dispersion relation between
oscillator. In particular, the thermal in low-dimensional Heisenberg energy and momentum.
equation of state for the pressure magnets may exist if the exchange Another problem of astrophysical
was found which is fully absent in interaction is sufficiently long- nature, connected with well known
Bloch’s problem. All the limiting cases ranged – e.g., decays in space by and long standing problem of Greisen
including harmonic oscillator and the power law with exponent lower than – Zatsepin – Kuzmin (GZK) effect, i.e.
particle in the box are investigated. two (the limiting case is one of Weiss the cut off of the proton component
In «finite time» formulation of TD the molecular field with infinite range of the cosmic ray spectrum at the
variational procedure was applied to with exponent zero). The anomalous energies near the Planck energies
additional parameters describing the diffusion in one dimension in terms about 10*20 GeV, was considered.
actual flow of and for the classical of particle’s random walk was There exist some experimental
Carnot cycle for thermal machine considered. It was shown that the evidence (e.g., from the «Pierre Auge»
the condition of optimal working continuous but non-differentiable project) that GZK effect may not
power was found which corresponds Weierstrass characteristic function exist. Thus the way out is suggested
to considerably lower efficiency than accounts for long-ranged Levy – namely, the approximate transition
Carnot one. In Gibbs formulation of flights leads to the formation of from the Lorentz symmetry group to
statistical TD some new valuable fractal structure for the clusters more general conformal one.
result were found, i.e. the general

RECENT SELECTED PAPERS [7] Yu.G. Rudoy, E.O. Oladimeji. Pressure operator for the Poeschl
– Teller oscillator. RUDN Journal of Mathematics, Information and
[1] R.G. Mukharlyamov, C.T. Deressa. Dynamic equations of Physics (2017). V. 25, p. 276.
controlled mechanical system with redundant holonomic constraints.
Herald of Kazan Technological University (2014). p. 236. [8] Yu.G. Rudoi. Generalization of the Bogoliubov-Zubarev theorem
for dynamic pressure to the case of compressibility. Theor. and
[2] R.G. Mukharlyamov. Simulation of control processes, stability Math. Phys. (2018). V. 194, p. 137.
and stabilization of systems with program constraints. Journal of
Computer and Systems Sciences International (2015). V. 54, p. 13. [9] Yu.G. Rudoy, O.A. Kotelnikova. Functional equation for the
crossover in the model of one-dimensional Weierstrass random walk.
[3] R.G. Mukharlyamov, M.I. Tleubergenov. Control of system Theor. and Math. Phys. (2016), V. 189, p. 1818.
dynamics and constraints stabilization. Communications in Computer
and Information Science (2017). V. 700, p. 431. [10] Yu.G. Rudoy, A.V. Kalmykov. Equation of state of cosmological
medium: direct dynamic derivation. Grav. Cosmol. (2016). V. 22, p. 358
[4] R.G. Mukharlyamov. Modeling the dynamics of mechanical
systems with regard for constraint stabilization. IOP Conf. Series: [11] Yu.G. Rudoy, I.A. Vernigora. Approximate extension of
Materials Science and Engineering (2018). V. 468, article № 0120417. Lorentz symmetru up to conformal in the case of very high
energies. RUDN Journal of Mathematics, Information and Physics
[5] O.A. Kotelnikova, V.N. Prudnikov, Yu.G. Rudoy. Magnetocalorical (2014). V. 22, p. 23.
effect (MCE) microscopic approach within Tyablicov approximation
for anisotropic ferro- and antiferromagnets. J. of Magnetism and [12] Yu.G. Rudoy, I.A. Vernigora. An extension of the Lorentz
Magnetic Materials (2015). V. 383, p. 23. symmetry concerning the limit of ultra-high energies // In «Relativity,
Gravitation, Cosmology – Beyond Foundations», ed. by V. Dvoeglazov:
[6] O.A. Kotelnikova.,V.G Morozov, Y.G. Rudoy. Magnetic friction: NY, Nova Science Publishers, 2019, pp. 87-104.
Towards the microscopic statistical description. J. of Magnetism
and Magnetic Materials (2018). V. 459, p. 16.

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Institute of PHYSICAL & RESEARCH TECHNOLOGIES

Nonlinear field theory and particle physics

Status Studies in nonlinear physics are based Approach Our approach is based on topological
on the Einstein concept of soliton as an image of the considerations permitting us to introduce topological
extended particle. The main contribution to this approach invariants interpreted as lepton and baryon charges.
was made by T.H.R. Skyrme and L.D. Faddeev within
the scope of the chiral model. Last years the 16-spinor Advantages Topological solitons describe
realization of this model was developed in the works of particles as stable extended objects possessing wave
Yu.P. Rybakov. properties corresponding to quantum description.

Aim Using Skyrme - Faddeev chiral model in spinor Results Within the scope of the spinor chiral model
realization we intend to construct soliton configurations it is possible to find special stochastic representation
describing lepton and baryon states as extended objects. giving quantum description of extended objects.

RECENT SELECTED PAPERS Yuri P. Rybakov
Doctor of science in physics,
[1] Yu.P. Rybakov Topological solitons in the Skyrme – Faddeev Professor of IPRT
spinor model and quantum mechanics//Gravitation and Cosmology. Born 21.09.1939. In 1962
– 2016. – Vol. 22, № 2, pp. 179-186. graduated from the Moscow
State University. From 1964
[2] Yu.P. Rybakov Solitons in Skyrme – Faddeev spinor model and assistant at the Department
quantum mechanics//Journal of Physics: conf. series. – 2016. – Vol. of Theoretical Physics of
731, № 1, 012012, p. 9. Peoples’ Friendship University
of Russia. From 1993 Head
[3] Yu.P. Rybakov, T.F. Kamalov Bell’s theorem and entangled of the Department. In 2006
solitons//Intern. J. Theor. Physics. – 2016. – Vol. 55, № 9, honor scientist of Russian
pp. 4075-4080. Federation.
Sientific interests: Paricle
[4] Yu.P. Rybakov, A.B. Ahmed. The interaction of bi-layer graphene physics, Gravitation,
with an external magnetic field//Intern. J. of Appl. Math. and Theor. Condensed matter physics.
Physics. - 2017. – Vol. 3, Issue 3, pp. 74-77.
17
[5] Rybakov Y.P., Ahmed A.B., Massou S., Iskandar M. Spin and
magnetic excitation in chiral model of graphene//Far East J. of Math.
Sciences. – 2017. – Vol. 102, Issue 2 (July), pp. 399-407.

[6] Yu.P. Rybakov and N.V. Semenova. Generalized Darcy’s law in
filtration theory//European Physical Journal Web of Conferences. –
2018. - Vol. 173, 02017, р. 4.

[7] Yu.P. Rybakov. Magnetic excitations of carbon nanotubes in chiral
model of graphene// European Physical Journal Web of Conferences.
– 2018. – Vol. 185, 11007, р. 3.

RADIO- AND LASER PHYSICS

Modern applied developments in the fields of Basic and applied research in the field of lasers radiation,
radio engineering, condensed matter and lasers optical engineering and thin-film producing are carried
are performed under the supervision by Prof. out in IPRT using the infrastructure of the IPRT labs.
V. Komotskii and associate professors T. Chekhlova
and N. Nikolaev.

18

Institute of PHYSICAL & RESEARCH TECHNOLOGIES

Diffraction of laser beams and its implementation
in the construction of new type devices

Status The principle of conducted experimental studies The design of a new device for
operation of the device for confirmed with high accuracy the filtering optical signals (patent
modulating laser radiation is based results of theoretical calculations. number 181381), which is based
on the dependence on the radiation on a deep reflective diffraction
power of zero diffraction order on the Advantages The use of an structure, is proposed. The filter
angle of incidence of the laser beam angular reflector in the circuit allows has a simple design, and allows
on the deep reflective diffraction one to keep the direction of the you to suppress the selected
structure with a rectangular output optical beam unchanged. A region of wavelengths and pass
profile. The angular position of the modulator of this type can be built on the output radiation of another
diffraction structure is changed by not only for the visible, but also for selected region of wavelengths.
an electromechanical drive. Within the infrared wavelength range. Along The filter characteristic is easy
certain limits, the dependence of with dynamic power modulation, to retune, by changing the
power on angle is close to linear. this device can be used for static angle of incidence of radiation.
This property made it possible to adjustment of the laser beam The filter can be configured to
construct an analog-type laser power. different ranges from ultraviolet
power modulator in which the power to infrared.
waveform follows the shape of the Results Laser beam diffraction The optical scheme in which the
modulating voltage. studies on optical elements of two diffraction of a laser beam on a
types were carried out: (i) deep deep diffraction grating is used can
Aim Investigation of the reflecting periodic relief diffraction also be used for linear detection
effects of laser beams diffraction structures, which have a rectangular of small angular oscillations of
on specific diffractive elements and profile with a relief depth of a objects. The performed experiments
the possibilities of their use for quarter of the wavelength to several confirm the possibility of detecting
constructing new type devices. wavelengths of laser radiation; (ii) and recording oscillations with an
structures composed of two phase amplitude of 10-5 radian with a
Approach For the theoretical diffraction gratings, which are located signal-to-noise ratio of at least
description of the parameters of successively along the laser beam. equal to 5. A sensor of this type
the waves observed at the outputs Based on the new scientific results, can be used as part of geophysical
of the circuits, the methods of new-type devices were proposed instruments: seismometers and tilt
spatial-frequency analysis and and tested, for which 3 patents were meters.
Fourier transforms are applied. The obtained.

RECENT SELECTED PAPERS [6] V.A. Komotskii, Yu.M. Sokolov, N.V. Suetin. Device for modulating
laser radiation. Patent for invention № 2616935, registered in the
[1] V.A. Komotskii, Yu.M. Sokolov, N.V. Suetin. Laser beam State registry of the Russian Federation 18.04.2017.
modulation with the use of a corner reflector and a deep
diffraction grating. Radio engineering and electronics (2017). [7] S.V. Pavlov, N.S. Trofimov, T.K. Chekhlova. Integrated optical
V. 62, p. 717. devices based on sol-gel waveguides using the temperature
dependence of the effective refractive index. Quantum electronics
[2] V.A. Komotskii, Yu.V. Sokolov, N.V. Suetin. Laser beam (2014). V. 44, p. 703.
modulation using corner reflector and deep diffraction grating.
Journal of communication technology and electronics (2017). [8] S.A. Aliev, N.S. Trofimov, T.K. Chekhlova. Properties of TiO2 films with
V. 62, p. 822. gold nanoparticles. Journal of Physics Conference Series (2016). V. 737,
article № 012036.
[3] V.A. Komotskii, Yu.M. Sokolov, N.V. Suetin. Device for periodic
modulation laser radiation. RUDN Journal of Mathematics, [9] A.P. Gorobetz, N.E. Nikolaev, S.V. Pavlov, T.K. Chekhlova. Thermal
information sciences and physics (2018). V. 26, p. 176 properties of channel optics waveguides based on sol-gel materials.
Journal of Communication Technology and Electronics (2017). V. 62,
[4] V.A. Komotskii, Yu.M. Sokolov, N.V. Suetin. A device for filtering p. 475.
spectra of optical signals. Patent for a useful model № 181381, the
date of registration in the State registry of the Russian Federation [10] N.E. Nikolaev, S.V. Pavlov, T.K. Chekhlova. Features of
11.06.2018. propagation of electromagnetic waves in sol-gel optical waveguides
under varying temperature. Journal of Communication Technology
[5] V.A. Komotskii, Yu.M. Sokolov. Device for periodic modulation and Electronics (2018). V. 63, p. 1265.
of laser radiation. Patent for a utility model № 176394, registered
in the State registry of the Russian Federation 17.01.2018.

19

Basic elements of photonics, information optics, nanoenergy and sensorics
based on thin-film structures of titanium and zinc oxides

Status Modern development Approach The tasks are of the effective refractive index
of fiber-optics communication solved by operation with an of optical waveguides based
systems, integrated optics, alternative material – titanium on titanium dioxide sol-gel
photonics, solar power, sensorics, etc. dioxide, using new gel technology. films on the parameters of the
is associated with the development waveguide structure. Research and
of new promising materials and Advantages The advantages optimization of technologies for
technologies aiming at improving are in the properties of material producing titanium dioxide films
the performance of thin-film devices such as a great value of the thermo- with a high specific surface area and
and expanding their functionality. optical coefficient, the possibility of high absorption capacity in order to
modification with various elements, create highly efficient solar power
Aim Our aims are stabilization excellent photocatalytic properties. devices and optoelectronic sensor
of the parameters of planar devices. The study of optical and
waveguide elements of fiber-optics, Results Optimization of structural parameters of titanium
adjustment of the parameters of the technological parameters for dioxide films. Determination of
elements and improving the efficiency creating waveguide films of titanium technological parameters of a new
of elements with thermal control, by dioxide with both extremely high gel-method for the synthesis of
using materials with a large value of and extremely low temperature titanium dioxide films for use in solar
thermo-optical coefficient. We also coefficient for photonic devices power and sensor devices. The study
work on improving the efficiency of and integrated optics. Analysis of of the effect of modifying titanium
solar power devices, sensor devices temperature properties and finding dioxide films with various elements,
by expanding the absorption spectrum the nature of the dependence such as gold, molybdenum, iron, etc.,
and increasing its amplitude. of the temperature coefficient on their optical characteristics.

RECENT SELECTED PAPERS [6] V.A. Komotskii, Yu.M. Sokolov, N.V. Suetin. Device for modulating
laser radiation. Patent for invention №2616935, registered in the
[1] V.A. Komotskii, Yu.M. Sokolov, N.V. Suetin. Laser beam State registry of the Russian Federation 18.04.2017.
modulation with the use of a corner reflector and a deep diffraction
grating. Radio engineering and electronics (2017). V. 62, p. 717. [7] S.V. Pavlov, N.S. Trofimov, T.K. Chekhlova. Integrated optical
devices based on sol-gel waveguides using the temperature
[2] V.A. Komotskii, Yu.V. Sokolov, N.V. Suetin. Laser beam dependence of the effective refractive index. Quantum electronics
modulation using corner reflector and deep diffraction grating. (2014). V. 44, p. 703.
Journal of communication technology and electronics (2017). V. 62,
p. 822. [8] S.A. Aliev, N.S. Trofimov, T.K. Chekhlova. Properties of TiO2
films with gold nanoparticles. Journal of Physics Conference Series
[3] V.A. Komotskii, Yu.M. Sokolov, N.V. Suetin. Device for periodic (2016). V. 737, article № 012036
modulation laser radiation. RUDN Journal of Mathematics,
information sciences and physics (2018). V. 26, p. 176. [9] A.P. Gorobetz, N.E. Nikolaev, S.V. Pavlov, T.K. Chekhlova.
Thermal properties of channel optics waveguides based on
[4] V.A. Komotskii, Yu.M. Sokolov, N.V. Suetin. A device for filtering sol-gel materials. Journal of Communication Technology and
spectra of optical signals. Patent for a useful model № 181381, the Electronics (2017). V. 62, p. 475.
date of registration in the State registry of the Russian Federation
11.06.2018. [10] N.E. Nikolaev, S.V. Pavlov, T.K. Chekhlova. Features of
propagation of electromagnetic waves in sol-gel optical waveguides
[5] V.A. Komotskii, Yu.M. Sokolov. Device for periodic modulation under varying temperature. Journal of Communication Technology
of laser radiation. Patent for a utility model № 176394, registered and Electronics (2018). V. 63, p. 1265.
in the State registry of the Russian Federation 17.01.2018.

20

Institute of PHYSICAL & RESEARCH TECHNOLOGIES

APPLIED PLASMA PHYSICS EXPERIMENTS

Experimental activity of the research group Microwave generators are well known to be used to
is based on plasma devices of IPRT, which use produce and to heat plasma in a magnetic field due to
electron cyclotron resonance (ECR) to produce effect of the electron cyclotron resonance (ECR). ECR-
and to sustain plasma. The experiments are based plasma sources may be rather compact and
focused on physical mechanisms of plasma energetically effective that explains a stable interest to
production and application. The research is such devices by industry. Special attention is continuously
leaded by Dr. V. Andreev, Prof. A. Balmashnov paid to the devices, which can be used as generators of
and  Dr. A. Umnov plasma particle flows and/or X-ray radiation.

21

ECR- sources of particles and radiations

Status  ECR plasma discharges have a number Approach  We use a standard scheme of ECR-
of specific features, which are essential for different plasma discharge as a basis for our generators. The
applications in such discharges. It is possible to have high appearance of the generator and its scheme are
energy populations of electrons, non-Maxwellian velocity presented in Fig.1. We also use some know-how to
distributions of charged particles, spatially localized enhance the discharge parameters.
groups of plasma particles, a way to manage the energy
of electrons in a wide range, a way to achieve the Advantages  ECR plasma discharges are used
supercritical density of plasma, different transformations to develop radiation sources applicable in the wide
of the wave energy into plasma particle energy and back, range of the X-ray spectrum. The X-ray output depends
etc. These and other similar features specify possible significantly on the electron energy and concentration, on
applications of ECR discharges as generators of plasma the type of the target we use, on the discharge geometry,
flows and of radiations. etc. The construction of the source is optimized for its
specific research and/or technological application. Some
Aim  We study the fundamental mechanisms original experimental plasma devices made in the People’s
responsible for physical processes in ECR plasma Friendship University of Russia (PFUR) by our group,
discharges to optimize them for concrete applications namely plasma synchrotron storage GYRAC-D, source of
and to design the effective generators of particle flows multiply charged ions HELIOUS, have been included in
and radiations. the roster of International Atomic Energy Agency.

Fig.1. The appearance (left) and the scheme
(right) of the ECR plasma source:
1 – microwave cavity,
2 – plasma volume,
3 – electro- or permanent magnets,
4 – magnetic circuit,
5 - HF -input.

Results  We have performed
many experiments studying the
influence of different discharge
parameters on the quantum output
of bremsstrahlung, which is one of
the most suitable ways to generate
X-rays. Typical bremsstrahlung
spectrum obtained by our source
is shown in Fig.  2.

Fig.2.
Typical bremsstrahlung spectrum
of the ECR plasma radiation source.
The characteristic radiation lines are identified.

22

Institute of PHYSICAL & RESEARCH TECHNOLOGIES

Fig.3. The model of ECR plasma thruster worked out in Plasma Physics Lab of the IPRT
1 — ring-shaped magnets,
2 — cylindrical resonator body,
3 — central electrode of coaxial resonator,
4 — mesh electrode,
5 — mesh ion extraction electrodes,
6 — mesh electron extraction electrodes.

Fig.4. The experimental device worked out in Plasma Physics Lab of the IPRT

The most intensive gas radiation was observed for The experimental data allowed us to conclude the
magnetic field gradients within the range of 10 Gs/cm – following:
25 Gs/cm and for the pump strength about 400 V/cm. For 1. Bremsstrahlung from the gas target in the direction
the fixed microwave power level (150 W), the full intensity
of the radiation grew with the increase of the gas pressure perpendicular to the magnetic field is an order of
up to the 7∙10 -5 Torr while quanta of the highest energy magnitude more intensive than in the direction along
(60 keV) were registered at lower gas pressure. Further the magnet field;
increase of the pressure (over 1∙10 -4 Torr) resulted in the 2. Average energy of photons registered in the
abrupt decrease of the bremsstrahlung up to negligible direction perpendicular to the magnetic field is
intensities. Variation of the magnetic field magnitude about 3 times higher than in the direction along
showed that The magnetic field in the median plane of the magnet field;
microwave cavity optimal for a creation of hot electron 3. Hot electron component forms a ring; the size of
component and, therefore, for bremsstrahlung generation the ring and the energy of electrons depend on
is about 900 - 990 Gs (note that the cyclotron resonance basic discharge parameters;
corresponds to the magnetic field of 875 Gs). 4. The electron energy is sufficient to generate
intense K-lines of Cu and Mo.

Some recent experiments relate to the study of the influence of stochastic fields for ECR plasma heating. The study of ECR
microwave-plasma interaction in strongly inhomogeneous magnetic fields can be also applied to the design of perspective
plasma thrusters (Fig. 3, 4).

23

Relativistic plasma fluxes and their applications

Status  The electron cyclotron Advantages  The idea behind plasma storage device (Fig. 6). To
resonance (ECR) is known to be the SGA-method consists in the realize SGA, the magnetic fields of
a very effective mechanism to phase stability of the charged the devices are superpositions of
heat electrons by the transferring particle motion under the condition static mirror fields and pulsed fields
the microwave energy to the of a cyclotron (gyromagnetic) providing the resonance conditions
magnetized electrons. Its efficiency resonance in a magnetic field for heated electrons. Both devices
is based on independence of smoothly varying in time. We proved are equipped with precision
cyclotron frequency on the electron this fact by numerical simulations. diagnostic systems, such as laser
velocity. However, this is valid for Our experiments are performed using diagnostics, X-ray spectrometry,
non-relativistic electrons only. Being two devices: plasma accelerator optical spectrometry in UV-IR and
highly accelerated, the electron (Fig. 5) and high-temperature microwave diagnostic systems.
changes its mass and leaves the
resonant condition. Therefore,
there is a principal difficulty to heat
plasma electrons up to relativistic
energies using the microwave
generator with a fixed frequency.

Aim  To develop a reliable way
to reach relativistic energies of the
electrons heated in the ECR plasma
sources.

Approach  One of the
most interesting physical effects
we use is so-called Synchrotron
Gyromagnetic Auto-resonance (SGA)
early discovered by the group. This
effect allows us to keep the electrons
accelerated by microwaves in the
resonant conditions up to relativistic
velocities that distinguishes our
generators from other analogs. The
idea is in the adjusting of the applied
magnetic field in time or in space
to compensate correspondingly the
change of the masses of heated
electrons. The principle of SGA were
grounded theoretically and proved
experimentally.

Fig.5. The appearance (top) and the scheme
(bottom) of the SGA plasma storage device

Results  Physically, the experim­ ental setup is an axisymmetric system, in which microwave cavity and pulsed
magnetic field coils combined in a single unit are disposed in the state mirror configuration magnetic field (Fig.5 for
plasma storage device).

Experiments performed with the plasma accelerator the concentration of electrons ~ 1∙10 9 cm -3, bremsstrahlung
(Fig. 5) have demonstrated a formation of relativistic intensity from the gas target is ~ 6∙10 4 MeV/s. The placing
electron bunches and a possibility to control their motion. of the solid target into the cavity is accompanied by fast
Average electron energy in the bunch was ~250-300 keV, increase of bremsstrahlung intensity (Fig. 6).

24

Institute of PHYSICAL & RESEARCH TECHNOLOGIES

Initially, the preliminary analysis of relativistic electron • Energy of emitted quanta is in the range 0.1 – 2.5
bunch formation and of the control of their impact with МeV (varying);
a gas target was performed on storage device (Fig. 6).
Generation of bunches was verified experimentally, it can • Quantum efficiency is 10 9–10 18 s -1;
be performed in a pulsed mode with a frequency up to 400 • Resource is determined by the resource of microwave
Hz. The bremsstrahlung power obtained from W-target can
vary while pulse radiation time varies from 20 µs to 5 ms. generator;
Basic parameters of the existing SGA device the following: • Linear dimensions of radiation unit are ~ 30 х 30 х 30 cm.

The plasma produced under the SGA conditions can be used for different applications, such as a generation of hard X-ray
and synchrotron radiation, a collective acceleration of ions, a formation of multi-charged ions of heavy elements, etc.

Fig. 6. X-ray image of SGA-plasma in: (left) plasma accelerator and (right) storage device

Numerical modeling

Status  Investigate parame­
ters and properties of plasma close
experimental one by computer
simulation. Simulation of plasma
allows us to analyze plasma
parameters and their dependence on
the parameters of the experiment.

Aim  The main purpose of
numerical experiments is to obtain
information on space distributions of
particles of both sorts (electrons and
ions) as well as space distributions
of hot and cold electron components
and electron energy spectra in the
whole plasma volume and in different
local regions of plasma.

Approach  A three-dimensional Advantages  The numerical OpenGL, as well as graphic editors - 3D
numerical simulation model has been model is implemented in the Fortran Studio Max and Adobe Photoshop.
developed using the method of particles 10.1 language. The graphic part of the
in a cell in view of the electrostatic program is made using Visual C++ and Results  The ability to create
interactions that allows studying the virtual installations with widely
motion of charged particles in electric
and magnetic fields of various space
configurations (Fig.7 )

25

varying parameters allow to investigate plasma properties
by simulation which is justified due to possibility to vary
in wide range of parameters of numerical experiment:

• evolution of plasma parameters;
• space distributions of particles of both sorts

(electrons and ions) as well as space distributions of
hot and cold electron components (Fig. 8);
• electron and ion energy spectra in the whole plasma
volume and in different local regions of plasma;
• particles’ losses from the plasma.

Fig. 8. Calculated spatial distributions of plasma particles after
GA [(a) and (b)] and after decompression stage [(c) and (d)]
X-ray image of plasma bunch. In the lower right corner, there is the
image of the testing point source; (b) modelling distribution of hot
electrons in the midplane of the cavity and at the end walls

RECENT SELECTED PAPERS [5] V.V. Andreev*, I. A. Voldiner, and M. A. Korneeva «Parameters of
Radiation Processes in the Microwave Resonant Plasma»// Plasma
[1] Balmashnov A.A., Kalashnikov A.V., Kalashnikov V.V., Stepina Physics Reports, 2017, Vol. 43, № 11, pp. 1119-1122.
S.P., Umnov A.M.«Self-Excitation of Low-Frequency Oscillations in
the Plasma Ring Formed by an ECR Discharge in a Narrow Coaxial [6] V.V. Andreev, D.V. Chuprov, V.I. Ilgisonis, A.A. Novitsky, and
Cavity» // Plasma Physics Reports. 2018. V. 44, № 6, pp. 626-629. A.M. Umnov «Gyromagnetic autoresonance plasma bunches in a
magnetic mirror»// PHYSICS OF PLASMAS 24, 093518 (2017).
[2] Balmashnov А.А., Kalashnikov A.V., Umnov A.M. «Formation of a
Plasma Ring by a Microwave Discharge in a Narrow Coaxial Cavity [7] A.A. Novitsky, A.M. Umnov, V.V. Andreev «Spectrum changes of
beyond the ECR Region» // Plasma Physics Reports. 2018. V. 44, № 6, plasma bunch bremsstrahlung generated under autoresonace in a
pp. 594-599. long mirror»// Journal of Physics: Conf. Series (JoP) 1094 (2018)
012013.
[3] V.V. Andreev, A.A. Novitsky, L.A. Vinnichenko, A.M. Umnov,
D.O. Ndong, «Properties and parameters of the electron beam [8] A.A. Novitsky, A.M. Umnov, V.V. Andreev «Evolution of the energy
injected into the mirror magnetic trap of a plasma accelerator»// spectra of the electronic component in plasmoids generated in the
Plasma Physics Reports Volume 42, Issue 3, 2016, pp. 293-297. autoresonance conditions in a long magnetic mirror»// Journal of
Physics: Conf. Series (JoP) 1094 (2018) 012014.
[4] V.V. Andreev*, A. A. Novitsky, M. A. Korneeva, and A. M. Umnov
«Study of the Development of Relativistic Plasma Bunches in a Long
Mirror Trap by Optical and X-Ray Imaging and Numerical Simulations»//
Plasma Physics Reports, 2017, Vol. 43, № 11, pp. 1114-1118.

26

Institute of PHYSICAL & RESEARCH TECHNOLOGIES

Victor V. Andreev Anatoly M. Umnov Aleksandr A. Balmashnov
born 1953 in USSR, Master degree in phys- born 1945 in USSR, Master de- born 1947 in USSR, Master de-
ics from Peoples’ Friendship University of gree in physics from Peoples’ gree with honors in physics from
Russia (PFUR) in 1980. PhD in plasma phys- Friendship University of Russia Peoples’ Friendship University of
ics and radiophysics in 1986. Since 1992 V. (PFUR) in 1980. PhD in plas- Russia (PFUR), Moscow in 1971.
Andreev serves as an Assosiate Professor at ma physics and radiophysics PhD in radiophysics in 1975 from
the Experimental Physics Division of PFUR. in 1990. Since 1998 A.Umnov PFUR. DSci in plasma physics and
Since 2004 – director of the Centre of Ap- serves as an Assosiate Profes- chemistry in 1993. Since 1995 A.
plied Information Technologies of PFUR. sor at the Experimental Physics Balmashnov serves as Professor
Since 2017 he also serves as a Deputy di- Division (currently – at the IPRT) at the Experimental Physics Divi-
rector for Science at the IPRT. Research in- of PFUR. Research interests in sion of PFUR (currently – at the
terests in plasma physics and applications, numerical simulation in plasma IPRT). Research Interests in mi-
plasma spectroscopy, cyclotron resonance physics. More than 100 publica- crowave discharges, microwave
phenomena, microwave plasmas, automa- tions in Russia and abroad. plasma sources for different ap-
tion control systems for experimental and plications. More than 150 pub-
industrial installations. More than 100 pub- lications in Russia and abroad,
lications in Russia and abroad, 3 patents. 9 patents.

Maria A. Korneeva Andrey A. Novitsky Denis V. Chuprov Andrey V. Kalashnikov
born 1988. Junior scientist born 1987. Junior sci- born 1977. Senior lecturer born 1983. Junior sci-
at RUDN. Master degree entist at RUDN. Master at RUDN. Master degree entist at RUDN. Master
in physics from Peoples’ degree in physics from in electronic device and degree in physics from
Friendship University of Peoples’ Friendship Uni- equipment from Moscow Peoples’ Friendship Uni-
Russia in 2012. Research versity of Russia in Power Engineering Insti- versity of Russia in
Interests: experimental re- 2010. Research Interests: tute in 2000. Research 2006. Research Interests:
search in microwave dis- experimental research in Interests: the automation experimental research in
charges, microwave plas- plasma accelerators, mi- system for physical ex- plasma physics, micro-
ma sources for different crowave plasma sources periment, experimental wave plasma sources for
applications. for different applications. research in plasma phys- different applications.
Author of 4 papers in Author of 8 papers in ics. Author of 7 papers in Author of 6 papers in
peer-reviewed journals. peer-reviewed journals. peer-reviewed journals. peer-reviewed journals.

27

The S.M. Nikolskii
Mathematical Institute

The S.M. Nikolskii Mathematical Institute was in the following areas of modern mathematics:
formed in 2018 by merging the three mathe­ differential equations, functional differential
matical departments: the Applied Mathematics equations, mathematical physics, computational
Department, the Nonlinear Analysis and mathematics, mathematical medicine, control theory,
Optimization Department, and the Mathematical functional analysis, operator theory, nonlinear
Analysis and Function Theory Department. It is analysis and optimization, applications to economics
headed by the famous Russian scientist Professor etc. The S.M. Nikolskii Mathematical Institute has
Alexander L. Skubachevskii. extensive international contacts. Within the frames
The S.M. Nikolskii Mathematical Institute continues of the German-Russian International Scientific Center
the tradition to award Bachelor’s and Master’s degrees (GRISC), students and professors of the Institute make
to its students each year. The training is conducted regular working trips to the University of Heidelberg
and the Free University of Berlin in Germany.

+7 495 955-07-10
[email protected]

After the report of the Abel Prize laureate, RAS academician Ya. G. Sinai at the seminar on differential and
functional differential equations

In the history of Peoples’ Friendship University of Department. Nowadays, this seminar continues its
Russia, the early 1960s were marked by the work of work in the frame of Nikolskii Mathematical Institute.
the scientific seminar guided by the prominent Soviet The Works by Prof. A.L. Skubachevskii and his
mathematician Lev Ernestovich Elsgolts at the Faculty disciples on boundary value problems for elliptic and
of Science. This seminar was generally acknowledged parabolic functional differential equations are making
as the leading research center in the field of differential a significant contribution to the general theory of
equations with deviating argument. Lately, the functional differential equations and have numerous
continuation of this tradition has been associated with applications in elasticity theory, control theory,
the activities of the staff of the Applied Mathematics nonlinear optics, biophysics, and plasma theory.

29

One of the actual key areas is the There are Interdisciplinary Scientific The following outstanding
kinetic Vlasov equations. This topic Center «Mathematical modeling in mathematicians lectured at
becomes particularly relevant in biomedicine», headed by Prof. V. A. the seminar on differential and
connection with the problems of Volpert, and Scientific Center for functional differential equations
controlled thermonuclear fusion. Nonlinear Problems of Mathematical along with students and members
New important results have recently Physics, headed by Prof. A.E. Shishkov, of the Institute: RAS academician,
been recently obtained in this field. at the Mathematical Institute. State Prize laureate D. V. Anosov;
Mathematicians of our institute Every week the Institute holds RAS academician А. А. Bolibrukh; RAS
do make research also in the seminars on various fields of academician Lenin Prize laureate
field of nonlinear problems of research. They are the following: R.V. Gamkrelidze; RAS academician,
mathematical physics including the seminar on differential and Vice-president of RAS V.V. Kozlov;
odd order evolutionary partial functional differential equations RAS corresponding member, laureate
differential equations describing (prof. A.L. Skubachevskii), the of State Prize of the USSR L.D.
wave propagation in media with seminar on mathematical modeling Kudryavtsev; RAS corresponding
mixed dispersion. In the direction in biomedicine(prof. V.A. Volpert), the member S. I. Pohozhaev; RAS
of nonlinear analysis and control seminar on nonlinear problems of academician, the Abel Prize laureate
theory, the extremal problem PDE (prof. A.E. Shishkov), the seminar Ya. G. Sinai; RAS academician,
with constraints in the form of on differential equations (prof. A.Yu. Director of the Steklov Mathematical
equalities and inequalities, optimal Savin), the seminar on functional Institute D. V. Treschev.
control problems subject to both analysis and its applications (prof. One of the most important activities
conventional and impulsive controls A.V. Arutyunov, prof. V.I. Burenkov, of the S.M. Nikolskii Mathematical
and to delayed feedback are studied. prof. M.L. Goldman, V.N. Rosova), Institute is the organization with
A group of scientists at the the seminar on neural networks (N.P. the cooperation of the Steklov
Mathematical Institute works in Anosova). Mathematical Institute and the
the area of functional analysis and The aim of the seminars is the Lomonosov State University of the
the operator theory. Their interests constructive communication of young regular (once in three years) first-
include operators in general students and experienced mathe­ rate conference on differential and
Morrey-type spaces, integral maticians, discussing problems in functional differential equations
operators in weighted Lebesgue, different scientific areas. (DFDE). The 8-th International
Lorentz, and Orlicz-Lorentz spaces, The wide range of research allows Conference on Differential and
spectral stability estimates for self- students to choose the topic and be Functional Differential Equations
adjoint elliptic operators, and the actively involved in the scientific work was held on August 13–20, 2017.
problems of optimal embedding of at an early stage of their activities. It brought together more than 250
functional spaces. mathematicians from 24 countries.
Among the participants, there were

30

The S.M. NIKOLSKII MATHEMATICAL Institute

Participants of the 8-th International Conference on Differential 8 invited speakers of the International Congresses of
and Functional Differential Equations (DFDE- 2017) Mathematicians, 9 members of the Russian Academy of
Sciences, the winners of prestigious scientific awards.
The S.M. Nikolskii Mathematical Institute is in charge for the
original layout of the journal Contemporary Mathematics.
Fundamental Directions. Its English version is published
by Springer Science & Business Media, Inc. (Publishing
Company, USA) in Journal of Mathematical Sciences.
The journal is focused on publishing articles containing
novel results and is aimed at informing the reader on
monographs containing recent advances in mathematics.
It is indexed by the most influential of citation systems,
such as Scopus, MathSciNet, Zentralblatt etc..
The S.M. Nikolskii Mathematical Institute also takes
part in the work of Eurasian Mathematical Journal
in cooperation with the M.V. Lomonosov Moscow
State University, the L.N. Gumilyov Eurasian National
University, and one of the oldest universities in Europe,
the University of Padua. Eurasian Mathematical Journal
publishes carefully selected original research papers in
all areas of mathematics written by mathematicians
primarily from Europe and Asia. It is indexed by Web of
Science Core Collection, Scopus.

RECENT SELECTED PAPERS [8] Laneev E.B., Chernikova N.Yu. Comparing the spatial
structure of molecules by monomizing a comparison function.
[1] Skubachevskii A.L. Elliptic differential-difference operators Computational Mathematics and Mathematical Physics, Vol. 59,
with degeneration and the Kato square root problem. № 1, 2019, pp. 128-135.
Mathematische Nachrichten., Vol. 291, 2018, pр. 2660-2692.
[9] Malamud, M.M., Neidhardt, H., Peller V.V. Absolute continuity
[2] Apushkinskaya D.E., Uraltseva N.N. Monotonicity formula for of spectral shi . Journal of Functional Analysis, Vol. 276, № 5,
a problem with hysteresis. Doklady Mathematics, Vol. 97, № 1, 2019, pp. 1575-1621.
2018, pp. 49-51.
[10] Rossovskii, L.E., Tovsultanov, A.A. Elliptic functional
[3] Burenkov V.I., Chigambayeva D.K., Nursultanov E.D. differential equation with affine transformations. Journal of
Marcinkiewicz type interpolation theorem and estimates for Mathematical Analysis and Applications, 2019.
convolutions for Morrey type spaces. Eurasian Mathematical
Journal, Vol. 9, № 2, 2018, pp. 82-88. [11] Savin, A.Y., Sternin, B.Y., Schrohe, E. Elliptic operators
associated with groups of quantized canonical transformations.
[4] Faminskii, A.V. Initial-boundary value problems in a half-strip Russian Mathematical Surveys, Vol. 73, № 3, 2018, pp. 546-548.
for two-dimensional Zakharov–Kuznetsov equation. Annales
de l'Institut Henri Poincare. Analyse non Lineaire, 2018, Vol. 35, [12] Savchin V.M., Budochkina S.A. Lie-admissible algebras
pp.1235-1265. associated with dynamical systems. Siberian Mathematical
Journal, Vol. 60, № 3, 2019, pp. 508-515.
[5] Galakhov E., Salieva O. Uniqueness of the trivial solution of
some inequalities with fractional Laplacian. Electronic Journal of [13] Shananin, A. A. Inverse problems in economic measurements.
Qualitative Theory of Differential Equations, № 1, 2019, pp. 1-8. Comput. Math. Math. Phys., Vol. 58, № 2, 2018, pp. 170-179.

[6] Gol'dman M.L., Bokaev N.A., Karshygina G.Zh. Cones of [14] Shishkov, A.E., Yevgenieva, Y.A. Localized peaking regimes
Functions with Monotonicity Conditions for Generalized Bessel for quasilinear parabolic equations. Mathematische Nachrichten,
and Riesz Potentials. Mathematical Notes, Vol. 104, № 3, 2018, Vol. 292, № 6, 2019, pp. 1349-1374.
pp. 348-363.
[15] Volpert, V., Trofimchuk, S. Traveling waves for a bistable
[7] Gurevich, P., Stuke, H. Pairing an arbitrary regressor with reaction-diffusion equation with delay. SIAM Journal on
an artificial neural network estimating aleatoric uncertainty. Mathematical Analysis, Vol. 50, № 1, 2018, pp. 1175-1190.
Neurocomputing, Vol. 350, 2019, pp. 291-306.

31

Applied Mathematics
& Communications

The Applied Mathematics & The teaching departments of the Institute train highly
Communications Technology qualified specialists in undergraduate (Bachelor’s
Institute (IAMCT) was estab­ degree), graduate (Master’s degree) and post-graduate
lished in 2017 at the Faculty of (PhD degree) programs. Students are prepared in four
Sciences of RUDN University on areas of study: Applied Mathematics and Informatics,
the basis of two departments Fundamental Computer Science and Information
– the Applied Probability and Technology, Mathematics and Computer Sciences,
Informatics Department and Business Informatics, and can choose from two
the Information Technology Department – and Master’s programs: in Communications Management
four research centers. Its staff comprises over and Intelligent Systems and in Probability Theory and
65 scientists, including 10 full professors and 30 Mathematical Statistics. The Institute currently teaches
associate professors. more than 1300 students offering them over 160 courses.

+7 499 271-09-76
[email protected]

Technology Institute

The core of IAMCT are its research The research priorities of the • Development of theoretical and
centers: IAMCT are: technological fundamentals of
• Research Center for High-Tech • Development of mathematical artificial intelligence, methods
and models for pre-processing
Systems and Communications methods and models for analyzing and analyzing big data, machine
Modeling (director Yuriy Orlov) the performance measures of 5G learning, and systems of semantic
• Research Center for Wireless and next generation networks. data modeling
5G Networks Modeling (director Problems of mathematical
Sergey Andreev) teletraffic theory and queuing • Mathematical and computer
• Research Center for Applied theory modeling of nanodevices for the
Probability and Stochastic Analysis • Development of theoretical and development of information and
(director Alexander Dudin) technological fundamentals for communications systems based on
• Research Center for Computational digital economy and architecture irregular waveguide structures
Methods in Applied Mathematics of emerging communications.
(director Vladimir Melezhik) Problems of Industrial Internet of • Mathematical and computer
Things (IIoT) and Social Internet of modeling of quantum communi­
Things (SIoT) cations systems and quantum
processors based on quantum-
mechanical systems

33

RESEARCH AREAS AND SCIENTIFIC SCHOOLS

Mathematical Teletraffic Theory

Scientific research in the field of RUDN. A significant contribution to Professor Konstantin E. Samouylov
applied probability theory, queuing the school was made by the Honored School (Mirbis), Russia; University
theory, teletraffic theory, performance Scientist of the Russian Federation of Pisa, Italy. He was a member of
analysis of telecommunications sys­ professor Pavel Bocharov, head of the the ITU-T SG11 and IFIP TC6 WG
tems and communication net­works Probability Theory and Mathematical 6.7. Under his supervision, scientists
design have been developed at RUDN Statistics Department. The school of the Institute have implemented
University for more than 50 years. raised such notable scientists as a number of R&D projects within
The foundation of this research Vladimir Kokotushkin, Valeriy Naumov, different frameworks, e.g., COST
was laid by the Honored Scientist Konstantin Samouylov and senior IRACON, Russian Foundation for Basic
of the Russian Federation, Professor researchers Yuliya Gaidamaka, Irina Research (RFBR), Russian Science
Emeritus of the RUDN University Gudkova, Eduard Sopin. The name of Foundation (RSN), TEKES (Finland)
Gely Basharin (1927-2018), who Professor Alexander Pechinkin, who and companies including Nokia,
is recognized as the founder of the for many years has taught courses at Telecom Finland, VTT, Rostelecom,
international scientific school of RUDN University is also inextricably and others. They are members
Mathematical Teletraffic Theory. In linked to the scientific school. of editorial boards and reviewers
the mid-1970s, a research group of Now the school counts seven Full of several scientific magazines,
applied mathematicians was formed Doctors of Sciences and 60 PhDs; its co-chairs and TPC members of
at the RUDN Faculty of Sciences graduates work at RUDN University international conferences. Current
under the direction of professor G. and around the world: in the USA, research areas of the school include
Basharin. The main focus of research Canada, Germany, Spain, Finland and
at that time was the development other countries. • Applied aspects of probability
of methods for analyzing and Currently the school is headed by the theory and stochastic processes
calculating the performance mea­ Honorary Worker of Higher School
sures of telephone networks. The of Russia Professor Konstantin • Queuing and teletraffic theory
development of broadband net­ Samouylov, who graduated from • Performance analysis of 4G/5G
works at the turn of the XXI RUDN University in 1978, received
century and the convergence of his PhD in probability theory from networks
telecommunications, computer and the Moscow State University in • Resource allocation in hetero­
information technologies have led 1985, and a Full Doctor of Sciences
to an explosive growth in research in degree in telecommunications from geneous wireless networks
the field of quality of service analysis the Moscow Technical University of • Social networks and big data
for multiservice communication Communications and Informatics
networks. In order to rise to the in 2005. Since 2014 he has been analysis
challenge, the Rector of RUDN Head of the Applied Probability and
University Vladimir Filippov created Informatics Department, and since
in 1996 the Telecommunications 2017 he also has been holding the
System Department at the Faculty posit­­i­on of Director of IAMCT at
of Sciences and appointed its head RUDN  University. He was visiting
professor Konstantin Samouylov. Professor / Research Professor  at
By the beginning of the 2000s, the Lappeenranta Univer­sity of Techno­
achievements in the field of applied logy and Helsinki University of
probability theory, queuing theory Technology (Aalto), Finland; Moscow
and communication technologies Technical University of Telecommuni­
permitted the creation of the cations and Informatics, Russia;
full-fledged scientific school in Moscow International Higher Business
mathematical teletraffic theory at

Mathematical Modeling

Scientific research in the field of mathematical modeling of Labor, state awards of a number of foreign countries,
and computational physics has been conducted at RUDN professor Evgeny Zhidkov (1926 – 2007).
University for more than 30 years. The foundation of this Professor Zhidkov worked for many years at RUDN
research was laid by the efforts of the Honored Scientist University. He trained a large number of masters, 15
of the Russian Federation and Honorary Worker of Higher candidates and 3 doctors of physical and mathematical
School of Russia, Holder of the Order of the Red Banner

34

The APPLIED MATHEMATICS & COMMUNICATIONS TECHNOLOGY Institute

sciences. Working at the Telecommunications System foreign scientific and tech-
Department, professor Evgeny Zhidkov, together with nical seminars on the appli-
his pupil, Рrofessor Leonid Sevastianov, had a significant cation of mathematical and
scientific and pedagogical influence on the formation computer modeling in the
of a scientific school of mathematical modeling at the following areas:
Faculty of Sciences of RUDN University. • Simulation and
A significant contribution to the creation of the school was design of integrated
made by the Honored Scientist of the Russian Federation optical and fiber-optic
Professors Leonid Sevastianov, Konstantin Lovetskiy devices for next-
and Eugeny Laneev. The school raised such scientists as generation lines and
Dmitriy Kulyabov, Mikhail Malykh and senior researchers communication systems
Anna Korolkova, Migran Gevorkyan and Dmitriy Divakov. • Simulation and design
The scientific school of mathematical modeling of RUDN of spintronics devices
University has won recognition of the scientific technical and multilayer optical
community in Russia and abroad. Its members, working structures for the Professor
at the Department of Applied Probability and Informat- needs of nanotechnology Leonid А. Sevastianov
ics at IAMCT, regularly participate in many Russian and • Modeling and control
international conferences on applied mathematics and of stochastic processes in technical devices of
information technologies and take part in Moscow and information and communication technologies,
processing large flows of unstructured data (CMS
detector of LHC)

Artificial Intelligence

Scientific research in the field of Artificial Intelligence, RUDN University, namely
including knowledge representation, intelligent contr­ol Methods for Artificial Intel­
and planning, computer vision, cognitive mode­ling, lig­ ence, Intell­ igent Syst­ ems,
information retrieval, natural language processing, data N a t u­r a l  L a n g u a g e
mining and machine learning has been conducted at Processing and others.
RUDN University for more than 20 years. Many graduates from
The foundation of this research was laid by the President Osipov’s group have
of Russian Association for Artificial Intelligence, Fellow become researchers at
of European Coordinating Committee for Artificial Federal Research Center
Intelligence (ECCAI fellow) Professor Gennady Osipov, «Computer Science and
who became the founder of the scientific school on Controls» of Russian
the artificial intelligence at RUDN University. In 1990s Academy of Sciences. A
G. Osipov proposed the Direct Knowledge Acquisition significant contribution
Method which integrates Knowledge Acquisition to the creation of the
Methods by means of data, texts, and human experts. In school was made by Professor Gennady S. Osipov
1998 Osipov designed the Theory of Dynamic Intelligent professor Igor Tolmachev,
Systems, investigated the behavior of Dynamic Intelligent professor Vyacheslav Khachumov, senior researcher
Systems and described classes of this type of systems. Ivan Smirnov. The Scientific School of G. Osipov makes a
Gennady Osipov is the creator of the relational-situational significant contribution to the development of Artificial
analysis of text, used in semantic search engines. In the Intelligence in Russia and worldwide, integrating science
2010s he designed the sign-based approach to modeling and education at RUDN University. The recent research
conscious behavior of intelligent systems. directions of Osipov’s group include:
Since 2000, Gennady Osipov and his group have
initiated various courses on Artificial intelligence at • Modeling of human cognitive functions and
consciousness

• Development of cognitive assistants
• Applied intelligent systems.

Mathematical Reliability Theory

The Editor-in-chief of the journal rightly considered the founder of sity (MSU) in 1960. In his diploma
«Reliability: Theory & Applications», the scientific school in Mathematical project, supervised by academician
Full member of the International Reliability Theory at RUDN University. A.N. Kolmogorov, he studied the
group of experts on reliability and Professor Vladimir Rykov gradu- properties of trajectories of random
mathematical statistics Gnedenko- ated from Moscow State Univer- processes and found the condition
Forum, Professor Vladimir Rykov is for the absence of jumps in them.

35

After the graduation in 1960 Rykov has began his career ty and the fast evolving and Professor Vladimir V. Rykov
in the MSU Computer Center, then he worked for ten digitalizing World. Series of
years at the Central Research and Development Insti- works jointly with his stu-
tute of Complex Automation (CRICA). Since 1990 he has dents and colleagues have
been a professor at RUDN University, at Applied Proba- been devoted to the study of
bility and Informatics Department of the AMCTI. the problem of systems’ reli-
Scientific interests of V. Rykov have always been related ability characteristics’ sensi-
mostly to studies on reliability theory, the theory of tivity to the shapes of some
controllable queuing systems and stochastic networks. initial probability distribu-
During the period of his work at CRICA (1961–1969) tions. His scientific school
he actively participated in research into the issues of raised such senior research-
reliability and in the development of theoretical methods ers as Dmitry Efrosinin and
of industrial control. Another field of V. Rykov’s studies is Dmitry Kozyrev.
the theory of regenerative processes. In Russia he was
the first who introduced and considered the regenerative Among the recent research priorities of V. Rykov’s team
processes with several types of regeneration points. He in the field of Mathematical Reliability Theory are the
proved the ergodicity theorem for them and found use in following:
the studies of complex systems of various classes.
Recently V. Rykov together with his research team have • Problems of the Industrial Internet of Things (IIoT),
turned to investigating reliability of complex systems taking Reliable Internet of Things
account of the challenges of the modern industrial socie-
• Reliability Enhancement of Tethered High Altitude
Communication Platforms

• Reliability-Centric Analysis of Offloaded Computation
in Cooperative Wearable Applications

5G LAB RUDN

In December 2017, the first Russian Laboratory of In 5G Lab RUDN, the components of a 5G network are
Advanced Research into 5G Networks and Internet being deployed as a testbed for research, experimental
of Things (5G Lab RUDN) was opened at AMCTI. It has measurements, testing new solutions and drafting new
become the main center of the Faculty of Sciences for standards of wireless communication.
complex research of 5G networks and their applications.

Architecture and Segments

Segment 1: Tactile Internet consists of a set of
demonstrators represented by elements of robotic
systems with feedback. Taking into account the specifics
of applications of the Tactile Internet, the round-
trip delay in the network segment is 1 ms. To meet
these requirements, the 10 GBase-X technology with a
bandwidth of 10 Gb/s is used both in the core network
and at the radio access level.

Segment 2: Augmented reality – includes cloud
storage and AR glasses. On the basis of this segment the
ways of delivering layers of auxiliary information to the AR
glasses depending on the environment are demonstrated.
To minimize the delay and for QoS ensuring, routing
protocols are being tested, as well as methods for real-
time data processing in the cloud storage.

Segment 3:  Flying video platform is designed for
high-definition video broadcasting and subsequent
transfer of video content to a public communication
network using WiGig technologies (IEEE 802.11ad).
After preprocessing, video content will be broadcast

36

The APPLIED MATHEMATICS & COMMUNICATIONS TECHNOLOGY Institute

to augmented reality glasses and other visualization Things devices which transmit data from sensors to a
systems with the output of auxiliary information. On the cloud platform in real time. Tools for traffic monitoring
basis of this segment, we test the quality of experience and analysis and services for managing the SDN controller
(QoE) metrics of the content by the end user depending are being developed depending on the QoS parameters.
on the parameters of the network devices and protocols.
Segment 5: LPWAN segment (Low-power Wide-
Segment 4: Internet of Things Traffic Generation area Network) is used to simulate the interaction of
Segment is designed to generate traffic characteristics devices based on LoRa technology, to develop new
of 5G networks. This segment is deployed in the form of interaction scenarios and to study traffic generated by
a cluster farm consisting of more than 100 Internet of telemetry devices.

KEY RESULTS FROM RECENTLY PUBLISHED PAPERS

‣  We developed a VR/MEC system for monitoring and preserving from end users to distributed edge servers in a way to achieve the
Cultural heritage sites. The system can be deployed for museums best latency and energy performance
to preserve monuments and to increase the visitor experience ‣  We developed a novel slicing scheme for 5G networks that
‣  We developed an intelligent core network for a Tactile Internet enables the network slicing over MEC based 5G systems
system and ultra-low latency 5G applications. The core network is ‣  We developed an energy- and latency-aware offloading
built using SDN with single centralized controller and distributed algorithm for unmanned aerial vehicle (UAV) systems that is built
OpenFlow switches, with the deployment of multilevel MEC servers on the algorithm mentioned above under 5. The algorithm defines
at the edge of RAN two ways for computing tasks offloading: air-offloading and ground-
‣  We proposed a modified core network by replacing single offloading. The UAV can offload its computing task to a nearby UAV
centralized controller with distributed SDN multiple controllers to with available energy and computing resources or to a ground edge
handle the dramatic increase in network traffic unit with available resources
‣  We developed a meta-heuristic optimization algorithm for SDN ‣  We developed a secure and reliable IoT system using Fog
multi-controller network that calculates the dynamic optimum computing, SDN technology and Blockchain technology. The system
number of SDN controllers based on the network load. Furthermore, is implemented using real hardware and validted by experimental
the algorithm obtains the optimum number of connections between results
OpenFlow switches and SDN controllers. The optimum solutions ‣  We defined a framework for introducing artificial intelligence
achieve the best latency and utilization performances (AI) at the MEC servers for the Tactile Internet system. This is to
‣  We developed an offloading algorithm for 5G/multilevel MEC overcome the light limitations and enable the Tactile Internet over
system. The algorithm manages the offloading of computing tasks any distances with the announced latency specifications (e.g. 1ms)

37

INTERNATIONAL EVENTS

Annually AMCTI organizes 1-2 conferences at RUDN ence on Analytical and Computational Methods
University as well as 2-3 conferences at our partners’ in Probability Theory and its Applications ACMPT.
universities. In 2017, we started the tradition of scientific ACMPT marked the 90th birth anniversary of Alexan-
schools for students – one at RUDN University and another der Solov’ev, an outstanding Russian mathemati-
one at our partners’ universities. Several times per year we cian and probabilist. We discussed the contemporary
invite lecturers to teach short lecture courses. issues of analytical and numerical methods in proba-
One of our most successful events is the International bility theory and its applications including reliability
Congress on Ultra Modern Telecommunications and Control theory, queuing theory, special classes of stochastic
Systems ICUMT. ICUMT is IEEE co-sponsored event jointly processes, special topics of statistics arising in appli-
organized with Brno University of Technology (Czech cations, etc.
Republic) and Tampere University of Technology (Finland). In In 2019, we are hosting the International Conference
2018, the 10th jubilee ICUMT was held at RUDN University. on Analytical & Stochastic Modelling Techniques &
In parallel with JSC Electronic Moscow (Russia) and Moscow Applications ASMTA. The ASMTA conference is a
Department of Information Technologies (Russia), we started major forum for discussing the latest developments
the series of the International Workshop on VR/AR over 5G in analytical, numerical and simulation algorithms for
for Smart City Moscow. The aim of the workshop is to discuss stochastic systems, including Markov processes, queuing
the vision of the future Smart City Moscow by 2030. networks, stochastic Petri nets, process algebras, game
theoretical models, etc.

Annually, with the V.A. Trapeznikov Institute of Control Traditionally, with the Federal Research Center
Sciences of the Russian Academy of Sciences, we organize «Computer Sciences and Control» of the Russian
the International Conference on Distributed Computer and Academy of Sciences (Russia) we organize the
Communication Networks: Control, Computation, Commu- International Works­hop on Applied Problems in
nications DCCN is IEEE co-sponsored event. Its main topics Theory of Probabilities and Mathematical Statistics
are the theory and applications of distributed computer APTP+MS, as well as the International Conference on
and communication networks, mathematical modeling, Next Generation Wired/Wireless Advanced Networks
methods of control and optimization of distributed systems. and Systems NEW2AN with Tampere University of
In 2017, jointly with Lomonosov Moscow State Univer- Technology (Finland) and the International Conference
sity (Russia), we organized the International Confer- on Information Technologies and Mathematical
Modelling named after A.F. Terpugov ITMM with
National Research Tomsk State University.

From 2017, at RUDN University the International School on Applied Probability Theory & Communications Technologies
APTCT is held. We invite lecturers from University of Pisa (Italy), Brno University of Technology (Czech Republic),
Lomonosov Moscow State University (Russia), Russian Academy of Sciences (Russia), etc. The International School
on Enabling Technologies, Applications, and Methods for Emerging 5G Systems was first organized in Mediterranea
University of Reggio Calabria (Italy), after that at University of Lisbon (Portugal).

SCIENTIFIC COLLABORATION

Universities and Research Organizations

The IAMCT supports active scientific cooperation with universities and research institutes

in Russia: and worldwide:
• Moscow State University • King's College London, UK
• Federal Research Center «Computer Science and • Polytechnic University of Milan, Italy
• Deakin University, Australia
Control» of RAS • University of Lisbon, Portugal
• V.A.Trapeznikov Institute of Control Sciences of RAS • Belarusian State University, Republic of Belarus
• Keldysh Institute of Applied Mathematics, RAS • Tampere University of Technology, Finland
• Institute for Information Transmission Problems of RAS

38

The APPLIED MATHEMATICS & COMMUNICATIONS TECHNOLOGY Institute

• Nuclear Safety Institute of RAS • University of Pisa, Italy
• Joint Institute for Nuclear Research • University of Granada, Spain
• Higher School of Economics • Brno University of Technology, Czech Republic
• National Research Nuclear University MEPhI • Technical University of Košice, Slovakia
• Tomsk State University • Pavol Jozef Šafárik University in Košice, Slovakia
• Bonch-Bruevich Saint-Petersburg State University of • Mediterranea University of Reggio Calabria, Italy
• Institute of Experimental Physics Slovak Academy
Telecommunications
• Moscow Technical University of Communications and of Sciences, Slovakia

Informatics

International Programs and Projects

In 2018, the RUDN University became a member of Within the framework of scientific research, the
COST CA15104 Action «Inclusive Radio Communication participation of the RUDN University and, in particular,
Networks for 5G and Beyond (IRACON)». The European IAMCT in the RDMS CMS project (the program Cooperation
Cooperation in Science and Technology (COST) is of Russia and the JINR Member States of the Compact
a funding organization (from Horizon 2020) for the Muon Solenoid experiment) is planned. This is one of
creation of research networks, called COST Actions. the advanced international scientific programs under
These networks offer an open space for collaboration the auspices of the European Community.The RDMS
among scientists across Europe (and beyond) and thereby CMS program operates within the framework of studies
give impetus to research advancements and innovation. planned and conducted at the Large Hadron Collider
This COST IRACON aims at scientific breakthroughs (CERN). The objectives of the project are the development
by introducing novel design and analysis methods for and introduction of new data processing methods using
the 5G and beyond-5G radio communication networks. Big Data technologies, designing and analyzing storage
The members of AMCTI under the supervision of Prof. systems, transmitting and processing huge amounts of
Konstantin Samouylov are representing the RUDN data, as well as training young researchers in the field of
University within this European research community. Big Data, distributed and parallel systems and networks.

RECENT SELECTED PAPERS

[1]  Morente-Molinera, J.A., Kou, G., Samuylov, K., Ureña, R., Herrera- [8]  Klimenok, V.I., Dudin, A.N., Samouylov, K.E. Analysis of the BMAP/
Viedma, E. Carrying out consensual Group Decision Making processes PH/N queueing system with backup servers // (2018) Applied
under social networks using sentiment analysis over comparative Mathematical Modelling, 57, pp. 64-84.
expressions // (2019) Knowledge-Based Systems, 165, pp. 335-345.
[9]  Dudin, A.N., Dudin, S.A., Dudina, O.S., Samouylov, K.E. Analysis
[2]  Lu, X., Sopin, E., Petrov, V., Galinina, O., Moltchanov, D., Ageev, K., of queueing model with processor sharing discipline and customers
Andreev, S., Koucheryavy, Y., Samouylov, K., Dohler, M. Integrated Use of impatience // (2018) Operations Research Perspectives, 5, pp. 245-255.
Licensed-and Unlicensed-Band mmWave Radio Technology in 5G and
beyond // (2019) IEEE Access, 7, art. no. 8643932, pp. 24376-24391. [10]  Markova, E., Gudkova, I., Ometov, A., Dzantiev, I., Andreev, S.,
Koucheryavy, Y., Samouylov, K. Flexible Spectrum Management in a
[3]  Basharin, G., Naumov, V., Samouylov, K. On Markovian Smart City Within Licensed Shared Access Framework // (2017) IEEE
modelling of arrival processes // (2018) Statistical Papers, 59 (4), Access, 5, art. no. 8055552, pp. 22252-22261.
pp. 1533-1540.
[11]  Ometov, A., Sopin, E., Gudkova, I., Andreev, S., Gaidamaka, Y.V.,
[4]  Petrov, V., Samuylov, A., Begishev, V., Moltchanov, D., Andreev, S., Koucheryavy, Y. Modeling Unreliable Operation of mmWave-Based
Samouylov, K., Koucheryavy, Y. Vehicle-Based Relay Assistance for Data Sessions in Mission-Critical PPDR Services (2017) IEEE Access,
Opportunistic Crowdsensing over Narrowband IoT (NB-IoT) // (2018) 5, art. no. 8055435, pp. 20536-20544.
IEEE Internet of Things Journal, 5 (5), art. no. 7857676, pp. 3710-3723.
[12]  Petrov, V., Solomitckii, D., Samuylov, A., Lema, M.A., Gapeyenko,
[5]  Kovalchukov, R., Moltchanov, D., Samuylov, A., Ometov, A., M., Moltchanov, D., Andreev, S., Naumov, V., Samouylov, K., Dohler, M.,
Andreev, S., Koucheryavy, Y., Samouylov, K. Analyzing effects of Koucheryavy, Y. Dynamic Multi-Connectivity Performance in Ultra-
directionality and random heights in drone-based mmWave Dense Urban mmWave Deployments // (2017) IEEE Journal on Selected
communication // (2018) IEEE Transactions on Vehicular Areas in Communications, 35 (9), art. no. 7959173, pp. 2038-2055.
Technology, 67 (10), art. no. 8412525, pp. 10064-10069.
[13]  Shadmehri, S., Melezhik, V.S. Confinement-induced resonances
[6]  Morente-Molinera, J.A., Kou, G., Pérez, I.J., Samuylov, K., Selamat, in two-center problem via a pseudopotential approach // (2019)
A., Herrera-Viedma, E. A group decision making support system Physical Review A, 99 (3), art. no. 032705, .
for the Web: How to work in environments with a high number of
participants and alternatives // (2018) Applied Soft Computing [14]  Kulyabov, D.S., Korolkova, A.V., Sevastianov, L.A. Two Formalisms
Journal, 68, pp. 191-201. of Stochastization of One-Step Models // (2018) Physics of Atomic
Nuclei, 81 (6), pp. 916-922.
[7]  Mokrov, E., Ponomarenko-Timofeev, A., Gudkova, I., Masek, P.,
Hosek, J., Andreev, S., Koucheryavy, Y., Gaidamaka, Y. Modeling Transmit [15] Malykh, M.D., Sevastianov, L.A., Tiutiunnik, A.A.,
Power Reduction for a Typical Cell with Licensed Shared Access Nikolaev, N.E. On the representation of electromagnetic fields
Capabilities // (2018) IEEE Transactions on Vehicular Technology, 67 in closed waveguides using four scalar potentials // (2018)
(6), pp. 5505-5509. Journal of Electromagnetic Waves and Applications, 32 (7),
pp. 886-898.

39

Research Institute of

Chemistry

Research Institute of Chemistry (RIC) analyzes activity of molecules, establishes the structure
the synthesis of new drugs for the treatment and properties of substances, determines their
of oncological and neuropsychiatric diseases; initial biological activity; as well as patents the
performs computer modeling of the biological tested methods of synthesis and biological activity.

Director – Prof. RAS Victor N. Khrustalev
Deputy Directors: Dr. Alexey N. Bilyachenko, Dr. Elena I. Knyazeva, Alesya N. Shchetnikova

+7 495 955-09-76
[email protected]

On the Opening Ceremony of the Research Scientific Centers of Research Institute of Chemistry in 2014 (from left to right): Director of
A.N. Frumkin Institute of Physical Chemistry and Electrochemistry of Russian Academy of Sciences, full member of Russian Academy
of Sciences, Professor Aslan Yu. Tsivadze, Director of Research Institute of Chemistry, Professor of Russian Academy of Sciences
Victor N. Krustalev, Dean of Faculty of Science of RUDN University, Professor of Russian Academy of Sciences, Professor Leonid G.
Voskressensky, Rector of RUDN University, full member of Russian Academy of Education, Professor Vladimir M. Filippov.

41

Graduated from Moscow State University of Fine Chemical
Technologies named after M.V. Lomonosov - 1993
Candidate of Chemical Sciences – 2000 (Ph.D)
Doctor of Science (Chemical Sciences) – 2008

The main scientific directions in recent years:
Development of a new approach capable of predicting and carrying-
out unusual T-reactions upon controlling the stereospecificity of the
process.

Fine tuning of photophysical, magnetic and catalytic properties of
innovative materials through sophisticated synthesis of heteroligand
metal complexes.

Stereochemical investigation of natural compounds and their analogs
as well as study of stereodirectionality and regiospecificity of chemical
reactions.
Director of Research Institute of Chemistry,
Head of the Inorganic Chemistry Department
Victor N. Khrustalev

Professor Erik V. Van der Eycken Professor Rafael Luque Professor Sergei F. Vyboishchikov
Álvarez de Sotomayor

SCIENTIFIC CENTERS

Microwave-assisted Organic Synthesis

Head – Prof. Erik V. Van der Eycken, the University of Leuven (KU Leuven), Belgium

The Center’s key research fields: C-H activation, flow of a C-H bond, which is arguably the most prevalent
chemistry, microwave activation, multicomponent «functional group» in organic chemistry. To expand this
reactions, biofilm inhibitors, chemistry of natural area in organic synthesis, the challenge is to identify
products, olefin metathesis novel strategies for the formation of organo-metallic
C-H bond activation/functionalization has demonstrated intermediates under mild conditions and to discover new
unprecedented avenues for the streamlined synthesis methods for their subsequent functionalization.
of pharmaceutically and industrially valuable molecules We are currently interested in developing new domino
in a benign manner. Direct C-H activation (in contrast to intra- and intermolecular C-C/C-O bond formations
metal-carbenoid induced C-H insertion) formally requires via palladium-catalysis. In particular, on the trapping
insertion of a transition metal (e.g. Pd) across a strong of transient C(sp3)- and C(sp2)-Pd species via C-H
C-H bond (90-105 kcal/mol) to form a new, weaker C-M activation, or employing suitable oxygen/nitrogen
bond (50-80 kcal/mol), followed by the generation of a nucleophiles to form a diverse range of useful molecular
new C-R bond. This enables the formal functionalization architectures.

42

Research Institute of CHEMISTRY

Molecular design and synthesis of innovative compounds for medicine

Head – Prof Luque Alvarez De Sotomayor Rafael, (Universidad de Córdoba),
is among the most cited scientists according to Highly Cited Researchers 2018 (Clarivate Analytics)

The Center’ key research fields: biomass and «I am very pleased to be Head of the laboratory of
waste’ valorization, nanochemistry, heterogeneous the RUDN University. Together we will be able to unite
catalysis,chemistry of natural products, electrochemistry, the efforts of Russia and Spain in increasing the life
medicine chemistry, organic electronics expectancy of all mankind – we will have access to
Professor Rafael Luque is a recognized expert in the fields the best equipment, successful world practices and
of Organic Chemistry and Synthetic solutions, search the brightest heads of modern organic chemistry», -
for alternative fuels and environmental management. Professor Luque commented.
Thus, his research in the field of nanomaterials – in The united staff of the scientific laboratory will work
particular, their magnetic properties – allows a more on the creation of new substances and increase their
targeted use of drugs to make a focus on the disease, effectiveness for use in medicine. One of the goals of
not the entire body. This reduces the stress on the liver, the research at RUDN is to find the cure for Alzheimer's
blood system, and shortens the amount of medications disease, which ranks 4th in the world among the causes
needed for successful treatment or prevention. of death. Professor Luque will oversee the course of
Professor Rafael Luque is an acknowledged global work, as well as give lectures and hold seminars for
expert – his h-index is h-66. students and postgraduates of RUDN University.

Crystal Chemistry and Structural Analysis

Head – Prof. Sergei F. Vyboishchikov, The University of Girona, Spain

The Center’s key research fields: chemistry of organometallic and organoelement compounds, study of the of
structure-reactivity relationship, quantum chemical modeling, luminescent metal complexes, molecular recognition
and sensing, organic synthesis

43

RIC’ MAIN FOREIGN PARTNERS

University of Lisbon (Portugal), Montpellier University (France), New Mexico Highlands University (USA), KU Leuven
(Belgium), Istituto di Chimica dei Composti Organometallici (Italy), LCC CNRS (France), The Hebrew University of
Jerusalem (Israel), Baku State University (Azerbaijan), Universita degli Studi di Bari (Italy), Florida A&M University
(USA), Virginia Commonwealth University (USA), Uppsala University (Sweden), Loughborough University (UK), Georgia
Institute of Technology (USA), Institute of Chemistry VAST (Vietnam); Graduate University of Science and Technology
VAST (Vietnam), Nanyang Technological University (Singapore), Shanghai University (China).

RIC’ MAIN RUSSIAN PARTNERS

Moscow State University (Moscow), INEOS RAS (Moscow), Zelinsky Institute of Organic Chemistry RAS (Moscow),
Kurnakov Institute of General and Inorganic Chemistry RAS (Moscow), Kurchatov Institute (Moscow), Nikolaev Institute
of Inorganic Chemistry RAS (Novosibirsk), Boreskov Institute of Catalysis RAS (Novosibirsk), Razuvaev Institute of
Organometallic Chemistry RAS (Nizhny Novgorod), Arbuzov Institute of Organic and Physical Chemistry RAS (Kazan).

PARTNERSHIP INCLUDES

Joint researches and grants, PhD program double supervision, students exchanges, permanent researchers, foreign
lectures participation in lecture delivering, participation in programs of educational school.

44

Research Institute of CHEMISTRY

Professor Jean-Pierre Sauvage is a French coordination
chemist working at Strasbourg University. He has specialized in
supramolecular chemistry for which he has been awarded the
2016 Nobel Prize in Chemistry along with Sir J. Fraser Stoddart
and Bernard L. Feringa

SCIENTIFIC EVENTS

22-26 April, The Fifth International Scientific Conference RUDN «Advances in Synthesis and Complexing»
«Advances in Synthesis and Complexing» brought conference was opened by Nobel Prize winner Professor
together young scientists, graduate students and Dr. Jean-Pierre Sauvage (University of Strasbourg,
prominent foreign scientists studying the problems of France). Professor Sauvage made a presentation «From
organic, inorganic, medical, physical and colloid chemistry. chemical topology to molecular machines».
Among the participants the Nobel Prize Laureate Jean- The meeting of Nobel laureate Professor Jean-Pierre
Pierre Sauvage¬ (Université de Strasbourg, Франция), Sauvage with students was held at RUDN conference
Shuji Akai (Osaka University, Japan), Vladimir Gevorgyan «Advances in Synthesis and Complexing», where more
(University of Illinois at Chicago, USA), Stephen Hashmi than 50 leading chemists from 15 countries present
(Universitat Heidelberg, Germany), Benjamin List (Max their answers to topical issues of organic, inorganic,
Planck Institut fur Kohlenforschung, Germany), Andrey medical, physical and colloidal chemistry. The geography
Malkov (Loughborough University, England), Lutz Tietze of the participants is impressive: Belgium, Great Britain,
(Gottingen University, Germany), T. J.J. Muller) (Dusseldorf Germany, Israel, Iran, Spain, Italy, Canada, Poland,
University, Germany), Daniel B. Werz (Technische Portugal, Russia, Saudi Arabia, USA, France and Japan.
Universitat Braunschweig, Germany).

45

The Russian People’s Friendship University (RUDN featured 48 lectures. A Special Session of the Workshop
University) and Russian National Research Center featured the 2018 Struchkov Prize Award Ceremony as
«Kurchatov Institute» holded the International Workshop well as the talks of the former Struchkov Prize winners.
on Chemical Crystallography and Structural Biology Two satellite events preceded the opening ceremony: a
(the «2nd Struchkov Meeting») in Moscow, November workshop on advanced structural refinement techniques
13-16, 2018. The Meeting was supported by the Russian by Dr. I.A. Guzei (University of Wisconsin, Madison, USA)
Academic Excellence Project «5-100» and Russian and a round-table discussion «Advances in Modern
Foundation for Basic Research. X-ray Structural Analysis» chaired by Dr. S.V. Lindeman
The four-day meeting attracted 150 participants from (Marquette University, Milwaukee, USA).
Azerbaijan, Belarus, France, Germany, Israel, Kazakhstan,
Kyrgyzstan, Russia, Sweden, USA and Uzbekistan and All the speakers at the Conference received commemorative
medals (see IUCr Newsletter, 2019, V. 27, No. 2).

46

Research Institute of CHEMISTRY

RECENT SELECTED PAPERS

[1]  Mechanochemical extraction of antioxidant phenolic compounds [14]  Reductive Amination in the Synthesis of Pharmaceuticals.
from Mediterranean and medicinal Laurus nobilis: A comparative Oleg I. Afanasyev, Ekaterina Kuchuk, Dmitry L. Usanov, Denis Chusov.
study with other traditional and green novel techniques. Rincón, E., Chem. Rev. 2019, 119, 23, 11857
Balu, A.M., Luque, R., Serrano, L. Industrial Crops and Products, Volume
141, 1 December 2019 [15]  Novel non-toxic high efficient antibacterial azido chitosan
derivatives with potential application in food coatings. Andreii S.
[2] Reconstruction of humins formation mechanism from Kritchenkov, Anton R. Egorov, Margarita N. Kurasova, Olga V. Volkova,
decomposition products: A GC-MS study based on catalytic Tatyana V. Meledina, Nikita A. Lipkan, Alexander G. Tskhovrebov, Aleh
continuous flow depolymerizations. Filiciotto, L., Balu, A.M., Romero, V. Kurliuk, Tatsiana V. Shakola, Artem P. Dysin, Mikhail Yu. Egorov,
A.A., Angelici, C., van der Waal, J.C., Luque, R. Molecular Catalysis, Elizaveta A. Savicheva, Wesley Moreirados Santos. Food Chemistry
Volume 479, December 2019. 2019, 301, 125247

[3]  One-pot Cu/TiO2 nanoparticles synthesis for trans-ferulic acid [16]  Stress-Transfer-Induced In Situ Formation of Ultrathin Nickel
conversion into vanillin. Gómez-López, P., Lázaro, N., Alvarado-Beltrán, Phosphide Nanosheets for Efficient Hydrogen Evolution (Article)
C.G., Pineda, A., Balu, A.M., Luque, R. Molecules, Volume 24, Issue 21, Li, S.-H., Zhang, N., Xie, X., Luque, R., Xu, Y.-J. Angewandte Chemie
4 November 2019. - International Edition, Volume 57, Issue 40, 1 October 2018, pp.
13082-13085
[4]  Layer-Wise Titania Growth Within Dimeric Organic Functional
Group Viologen Periodic Mesoporous Organosilica as Efficient [17]  Sol-gel immobilisation of lipases: Towards active and stable
Photocatalyst for Oxidative Formic Acid Decomposition(Article). biocatalysts for the esterification of valeric acid (Article) (Открытый
Ahadi, A.a, Alamgholiloo, H.a, Rostamnia, S., Liu, X., Shokouhimehr, M., доступ) Cebrián-García, S., Balu, A.M., García, A., Luque, R. Molecules,
Alonso, D.A., Luque, R. ChemCatChem, Volume 11, Issue 19, 7 October Volume 23, Issue 9, 6 September 2018, 2283
2019, pp. 4803-4809.
[18]  Batch versus Continuous Flow Performance of Supported
[5]  Waste-to-wealth: Biowaste valorization into valuable bio(nano) Mono- and Bimetallic Nickel Catalysts for Catalytic Transfer
materials. Xu, C., Nasrollahzadeh, M., Selva, M., Issaabadi, Z., Luque, R. Hydrogenation of Furfural in Isopropanol (Article) Wang, Y., Prinsen,
Chemical Society Reviews, Volume 48, Issue 18, 21 September 2019, P., Triantafyllidis, K.S., Karakoulia, S.A., Yepez, A., Len, C., Luque, R.
pp. 4791-4822. ChemCatChem, Volume 10, Issue 16, 21 August 2018, pp. 3459-3468

[6]  Tuning the Molecular and Cationic Affinity in a Series of [19]  Autocatalysis Synthesis of Poly(benzoxazine- co-resol)-Based
Multifunctional Metal–Organic Frameworks Based on Dodecanuclear Polymer and Carbon Spheres (Article) Zhao, J., Gilani, M.R.H.S., Lai, J.,
Zn(II) Carboxylate Wheels. Anna A. Lysova, Denis G. Samsonenko, Nsabimana, A., Liu, Z., Luque, R., Xu, G. Macromolecules Volume 51,
Pavel V. Dorovatovskii, Vladimir A. Lazarenko, Victor N. Khrustalev, Issue 15, 14 August 2018, pp. 5494-5500
Konstantin A. Kovalenko, Danil N. Dybtsev, Vladimir P. Fedin. J. Am.
Chem. Soc. 2019, 141, 43, 17260 [20]  Mechanochemistry: Toward Sustainable Design of Advanced
Nanomaterials for Electrochemical Energy Storage and Catalytic
[7]  Sequential Oxidation and C−H Bond Activation at a Gallium(I) Applications (Article) Muñoz-Batista, M.J., Rodriguez-Padron, D.,
Center. Aishabibi Kassymbek, Sergei F. Vyboishchikov, Bulat M. Puente-Santiago, A.R., Luque, R. ACS Sustainable Chemistry and
Gabidullin, Denis Spasyuk, Melanie Pilkington, Georgii I. Nikonov. Engineering, Volume 6, Issue 8, 6 August 2018, pp. 9530-9544
Angew. Chem. Int. Ed. 2019, 58, 18102
[21]  Facile mechanochemical modification of g-C3N4 for selective
[8]  Visible light-mediated chemistry of indoles and related photo-oxidation of benzyl alcohol Cerdan, K., Ouyang, W., Colmenares,
heterocycles. Alexey A. Festa, Leonid G. Voskressensky, Erik V. Van der J.C., Muñoz-Batista, M.J., Luque, R., Balu, A.M. Chemical Engineering
Eycken. Chem. Soc. Rev. 2019, 48, 4401 Science 2018

[9]  Chemo- and Regioselective Catalyst-Controlled Carbocyclization [22]  g-C3N4/TiO2 composite catalysts for the photo-oxidation
of Alkynyl Ketones: Rapid Synthesis of 1-Indanones and 1-Naphthols. of toluene: Chemical and charge handling effects. Caudillo-Flores,
Liangliang Song, Guilong Tian, Erik V. Van der Eycken. Chem. Eur. J. U., Muñoz-Batista, M.J., Luque, R., Fernández-García, M., Kubacka, A.
2019, 25, 7645 Chemical Engineering Journal, Volume 378.

[10]  Interaction of a trinuclear copper(I) pyrazolate with alkynes [23]  Rhodium(III)-catalyzed intermolecular cascade annulation
and carbon–carbon triple bond activation. Aleksei A. Titov, Vladimir through C-H activation: Concise synthesis of rosettacin. Song, L., Tian,
A. Larionov, Alexander F. Smol’yakov, Maria I. Godovikova, Ekaterina G., Van der Eycken, E.V. Molecular Catalysis, Volume 459, November
M. Titova, Victor I. Maleev , Elena S. Shubina. Chem. Commun. 2019, 2018, pp. 129-134 Q1
55, 290
[24]  Dual roles of ynoates: Desymmetrization of dicarboxylic acids
[11]  Cagelike metallagermanates and metallagermoxanes: Synthesis, using trialkylamines as alkyl equivalents (Article) Xu, X., Huang, L.a, Yin,
structures and functional properties. Mikhail M. Levitsky, Alexey N. X., Van Der Eycken, E.V., Feng, H. Organic Chemistry Frontiers. Volume
Bilyachenko, Elena S. Shubina. Coord. Chem. Rev. 2019, 386, 209 5, Issue 20, 21 October 2018, pp. 2955-2959

[12]  Magnetic cage-like metallasilsesquioxanes. Mikhail M. Levitsky, [25]  Gold-catalyzed post-Ugi alkyne hydroarylation for the
Alexey N.Bilyachenko, Elena S. Shubina, Jérôme Long, Yannick Guari, synthesis of 2-quinolones. Du, X., Huang, J., Nechaev, A.A., Yao,
Joulia Larionova. Coord. Chem. Rev. 2019, 398, 213015 R., Gong, J., Van Der Eycken, E.V., Pereshivko, O.P., Peshkov, V.A..
Beilstein Journal of Organic Chemistry, Volume 14, 4 October
[13]  Covalent Construction of Sustainable Hybrid UiO-66-NH2@ 2018, pp. 2572-2579
Tb-CP Material for Selective Removal of Dyes and Detection of Metal
Ions. Qiangsheng Zhang, Xue Jiang, Alexander M. Kirillov, Yanwen
Zhang, Mingyang Hu, Wei Liu, Lizi Yang, Ran Fang, Weisheng Liu. ACS
Sustainable Chem. Eng. 2019, 7, 3, 3203

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The International Workshop on Chemical Crystallography and Structural Biology (the «2nd Struchkov Meeting») in Moscow,
November 13-16, 2018.

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