The Conference has become an important scientific event with multidisciplinary topics in different areas of natural, technological and social phenomena, as well as in devices and materials, e.g. electronics, physics, chemistry, biology, mathematics, technology, informatics, medicine, etc. The Conference has addressed the current level of both theoretical and experimental achievements in electrodynamics and statistical physics for their application in modern element base of macro-, micro- and nanoelectronics. The ideas of outstanding physicist theoretician, Prof. Anatoliy Vlasov and their applications in modern science and technology have been considered.

The papers of outstanding theoretical physicist, Lenin Prize winner, Moscow State University professor, A.A. Vlasov - “About vibrational properties of an electron gas…”, where the kinetic self-consistent field equation for plasma was presented, had a great influence on the development of statistical physics in general. The ideas of self-consistent field approximation are widely used in condensed state physics. Modern statistical physics of liquid crystals based on the distribution function (or statistical operators of molecular complexes) method and variational principles is considered. The features of the structure, the hierarchy of scales, the spontaneous symmetry break, the quasi-averaged conception, the role of many-particle interactions and phase transitions, and the problems of liquid crystal state simulation are discussed.

A mathematical model is proposed for taking into account contactless heating of electrons by a long-range electric field in the region of charged structures, in particular, in the upper layers of the atmosphere of the negatively charged earth. Based on the Einstein-Smoluchowski (or rather Nernst-Townsend) relation, Te = e ⋅ De/μeα(E/N)0.86, we used the experimental values of the particle number density of air, N, to calculate for the first time a possible temperature profile of electrons, Te, in the mesosphere and ionosphere as a function of the charge of the Earth and the distance to its surface. It is found that at altitudes of about 36 km above the Earth surface negatively charged up to 500 000 C, the E/N parameter reaches breakdown values (100 Td), and, therefore, a self-sustained discharge is initiated up at these altitudes. At these altitudes, a compensation layer of a positive space charge can develop (standing electric field shock wave). The processes of direct ionization of air particles by electrons in an electric field of the negatively charged earth are also important in plasma production processes. Calculations of the parameters of electrons in the atmosphere and the ionosphere are compared with the available experimental data. On the basis of a mathematical model, the profile (from height above sea level) of the electron concentration ne is obtained analytically for the first time for the mesosphere and ionosphere of the negatively charged earth. Comparison of these results with experimental observations shows that the transition profiles of the electron concentration in the mesosphere and the Earth’s ionosphere are determined by the processes of ambipolar drift caused by different dependences of the drift velocities of electrons and ions on the electric field intensity. The results are of practical interest for developers of such systems as GLONASS and GPS.

It is shown that Saturn’s rings originated from protoplanetary ice particles moving around the planet along chaotic orbits after the appearance of Saturn’s magnetic field due to electromagnetic phenomena. Due to diamagnetism and the superconductivity of ice particles, all their chaotic orbits gradually moved to the plane of the magnetic equator and formed a sombrero disk of rings and gaps. The particles of Saturn’s rings are separated from each other by a magnetic field driven out of them. As a result, each particle is trapped in a three-dimensional magnetic well, including due to the phenomenon of quantum Abrikosov vortices. This mechanism works even if the particles may have a small fraction of the superconductor. In addition to defragmentation due to gravity of an icy body having a size of Titan that flew up to Saturn, and collisions with fragments of the approaching Moon and meteorites, particles of frozen water generated by the geysers of Saturn’s satellites due to the magnetic coupling between the planet and its satellites can also contribute to the ring matter, which can result in the formation of a new ring. It is found that the rings are relict of the early days of the magnetic field of Saturn system.

A new model of superconductivity (SC) proposed in the works of V.A. Chizhov (superconductivity model at the twin boundary) is discussed. This model allows us to understand the mechanism of the SC formation and to explain the experimental facts on the basis of the theory of processes that take place in the ideal defect of the crystal lattice, i.e. the twin boundary. With a help of MSC-TB, the Meissner-Ochsenfeld effect interpretation is presented, and the formation, evolution and destruction of Abrikosov vortices and associated creeper currents are studied. A quantitative comparison of theoretical estimates of MSC-TB with experimental data is carried out. A good correspondence is shown. Methods for eliminating the creep current are suggested. Materials, including new ones, are described, which, in accordance with the MSC-TB theory, should have improved properties of high-temperature superconductivity. Promising lines of further research are formulated.

Lyotropic nematic liquid crystals (NLCs) exhibiting a self-organizing flow (so called ‘active nematics’) are discussed within the framework of the lattice gauge field theory. The evolution of topological defects in such systems is mutually caused by the flow regime. It is shown that the ‘nematic-isotropic’ phase transition in active NLCs may differ from that in conventional NLCs.

We present a review of the methods for increasing the corrosion resistance of fuel rods of thermal and fast nuclear reactors using surface modification and coating application to improve the safety and efficiency of operation of nuclear fuel. We report the results of tests carried out at the SSC RF TRINITI with coatings on fuel claddings made of EP-823 steel, considered for use in the BREST-OD-300 reactor, and of zirconium alloy E110, i.e. the “forward” of Russian commercial nuclear power energy. Corrosion tests of experimental samples of fuel claddings with Al, Al2O3, Cr coatings in liquid lead with a high oxygen content and a temperature of 650-720 °C (for steel shells) and on air at a temperature of 1100 °C (for zirconium shells) showed almost complete corrosion suppression. Physical barriers to the applicability of coatings as protective layers on fuel claddings are identified: fretting corrosion of fuel element shells, the problem of low heat resistance of fuel element shells, the problem of high residual energy release of fuel elements, the lack of self-healing of protective ceramic coatings, and the problem of low-temperature radiation embrittlement of coatings. We have proposed solutions to the problems of protecting nuclear power plants.

Complex investigations are performed to study the process of chemical interaction of an alkaline-earth Ca-Mg alloy with the components of air in order to find the prospects of using active metals as an alternative to getter materials applied for gas purification purposes. The sorption activity of Ca-10%Mg alloy on main and adverse gaseous components is experimentally determined from the mass spectra. All chemical reactions occurring during the sorption of gaseous components that determine the overall kinetics of proceeding processes are described.

A method for directional search of crystalline scintillators with predetermined properties on sensitivity to γ and neutron emissions is proposed on the basis of Z-parameter variation as a function of the crystal host composition. Disordered fluoride crystal media are used as the host materials. Changes in the Z parameter for crystalline solid solutions of the mixed Li(Y1-xLux)F4 and Ba(Y1-xYbx)2F8 crystals within x-coefficients from 0 to 1 are calculated.

The paper is devoted to modeling the behavior of gaseous fission products: Kr and Xe in the interelectrode gap of a nuclear power plant. For analysis, the method of numerical solution of the Boltzmann equation using two-dimensional grids is used. To simulate the processes, a software package was implemented that allows calculations to be performed on cluster architecture due to separation of spatial cells between parallel nodes. Data were obtained on the distribution of the GPA in the cavity of the interelectrode gap in the state of thermodynamic equilibrium with the given boundary conditions.

By the using the analytical method of discrete velocities, the solution of the Couette flow problem is constructed. Gas evolution is described using the Bhatnagar-Gross-Krook model of the Boltzmann equation. The interaction of gas molecules with the channel walls is described using the Maxwell mirror-diffuse reflection model. The algorithm for finding the macroparameters of the gas is proposed. The results obtained on its basis are presented. The obtained results are verified.

A model for the evolution of a spherical converging shock-wave pulse is proposed within the framework of the requirement of a constant amount of material movement involved in a saw-like pulse movement.

A rather general formulation of the problem in the study of the unsteady evaporation (growth) of a spherical aerosol droplet has been used to obtain generalizations of the formulae known for the rate of change in the droplet radius, used for quasi-stationary and non-stationary evaporation (growth) of the droplet. In comparison with the mentioned formulae, the formulae obtained make it possible to take into account a number of additional factors affecting the rate of change in the droplet radius. These factors include the curvature of the droplet surface, the surface tension coefficient, the initial temperature difference at the droplet surface, the thermal conductivity and thermal diffusivity of the vapor-gas mixture, the specific heat of the phase transition of the droplet substance, the concentration and temperature jumps, and the evaporation coefficient of the droplet substance. The formulae obtained are analyzed numerically by considering the unsteady process of evaporation of water droplets. In particular, it is concluded that the limits of applicability of concentration and temperature jumps at certain values of the evaporation coefficient can be extended to larger water droplets than it has been so far.

We have found initial and finite limit expressions for the rate of change in the radius of an unsteady evaporating aerosol droplet. The equations take into account the curvature of the droplet surface, surface tension and specific heat of the phase transition, as well as concentration and temperature jumps. Numerical calculations for all values contained in the derived expressions for water droplets of different sizes and at different ambient temperatures are carried out. The similarities and differences of these expressions are revealed, which are important to consider when choosing formulae for calculating the time of complete evaporation of droplets.

The gravity-driven flow of a power-law fluid over a slippery topography substrate is studied. The fluid flow, due to the gravity, is assumed to be steady and confined to the limit of small amplitude of the wall corrugation. As an analytic approach, we apply the Karman-Pohlhausen integral boundary-layer method and derive an asymptotic equation valid for rather thin films. Our results support the view that the resonance is associated with an interaction of the undulated film with capillary-gravity waves travelling against the mean flow direction in the linear case. The influence of the slip condition on the linear resonance phenomena for different power-law indices n is the main factor in this work.