Trigonometric entropies are introduced in the extended parastatistics of nonextensive systems and their properties are derived. Equilibrium states of systems with corresponding distributions are considered with focus on the total dependence of their entropies on angle in a two-dimensional space of entropy functions.

Properties of 0+ excited states generated by pairing and quadrupole-quadrupole forces in some rare-earth isotopes are investigated. Energies of the 0+ states, probabilities of the E(0) and E(2) transitions, Rasmussen parameters X, and effective cross sections of two-nucleon transfer reactions have been calculated taking into account mixing of the excited states with different Kπ values. The contribution

At the present time, the classical theory of radiation of charged particles is a complete theory. It has wide applications in the generation of various radiation sources: synchrotron radiation, undulator radiation, and others. In this regard, questions of radiation of the intrinsic magnetic moment of the particles have not been completely investigated. A path to the construction of radiation fields

Connection of Pauli’s principle with the nontrivial structure of the fermion supertime is shown. When supersymmetry is localized as supergravitation, fields of gravitational and exchange interaction carriers arise. The exchange interaction quantum of free fermions, being a superpartner of graviton (gravitino), is interpreted as a paulino – the particle responsible for the effect of mutual avoidance

A model is proposed to explain the observed influence of gravity waves of relativistic double stars on the vertical component of the Earth’s electric field in the atmospheric boundary layer. The considered mechanism is the perturbation of the Earth’s orbit by the gravity waves from the relativistic double star systems leading to a small displacement between the Earth and the free electric charge of

The measurements of the phonon spectrum of a LED heterostructure based on the In0.12Ga0.88N/GaN barrier showed the presence of four phonon radiation peaks with energies of 0.193, 0.207, 0.353, and 0.356 eV. It was assumed from the comparison of the calculation results of energy spectra of the electron and hole quantum wells with the obtained experimental data that these peaks can be interpreted as

A solution of the system of equations for the basic operators of the spin-fermion model is obtained in the form of harmonic oscillations of Fermi operators at three frequencies and single-frequency harmonic oscillations of the spin-fermion coupling operator (spin polaron).

A complete model of cosmological evolution of a classical scalar field with the Higgs potential is studied and simulated on a computer without assumption that the Hubble constant is nonnegative. The corresponding dynamical system is qualitatively analyzed and the Einstein–Higgs hypersurfaces the topology of which determines the global properties of the phase trajectories of the cosmological model are

A polarization-modulation method for simultaneous determination of the navigation bearing and roll parameters of an aircraft from orthogonally linearly polarized beacon signals is studied. Signals are emitted simultaneously from two spatially separated points in the horizontal plane with known coordinates. Onboard the aircraft, the resulting vector signals are received by an onboard receiving antenna

The paper proposes a two-dimensional mathematical model of the combustion synthesis of chemical compounds and alloys in the conditions of thermal explosion during the induction heating of the powder compact in a steel cylindrical mold. A set of chemical reactions is described by a reaction network with effective kinetic parameters. The kinetic aspect concerns the possible strong retardation of the

In order to solve the problem of wiring breakage in the conductive layer caused by a fold in the bending area of a flexible organic light-emitting diode (FOLED) and improve the conductive layer in the bending area of a FOLED, the conductive layer wiring scheme in its bending area is optimized. First, the polymer substrate FOLED samples are prepared, and the bending area structure is formed by stacking

The lateral vibration coupling mechanism is the basic law describing the current vibration behavior of a high-speed train. The main reason is that there are design defects in the ICE3 bogie prototype. Therefore, the passenger dedicated line is not a necessary and sufficient technical condition for ensuring the stability and safety of high-speed railway operation. Based on the previous research, this

The article is devoted to the development of the theory of non-equilibrium pressure and temperature fields in two-phase thermodynamic systems simulating natural oil and gas reservoirs. Such systems are classified as highly dissipative, since the flow process is accompanied by the predominant action of internal friction forces. The studies made it possible to significantly clarify the concept of thermodynamic

The paper proposes a new filtration model for studying the distribution of one component of the two-component body fluid and the fluid velocity in a two-layered capillary in stationary conditions. The proposed mathematical model considers such important phenomena as concentration expansion and viscosity-concentration dependence. The fluid flow correlates with the Brinkman model. Identified are the

An experimental setup is developed for studying magnetophoresis in a layer of a magnetic fluid several millimeters thick by the method of light transmission and reflection. The region of the sign-alternating magnetic field of a ring magnet is used in the experiment. The clarification of the central portion of the magnetic fluid layer, observed for several days, is interpreted by the fact that the particle

The kinetics of deformation processes on the yield plateau is studied in aluminum alloy 1550. It is found out that in the general case, the Lüders band fronts move discretely and only in the phase of specimen unloading. A continuous motion of the deformation fronts is possible if the relaxation rate of the applied stresses due to the test machine is higher than or equal to the rate of their decrease

Mechanisms of generating electric and magnetic fields during propagation of microsecond CO2-laser pulses in the atmosphere along long paths are considered. The wavelength range of radiation selected for our research is substantiated. The powers of the source required for realization of pre-breakdown and breakdown modes of radiation interaction with the medium are estimated. A dependence of the observed

The results of a study of pulse duration of superradiance on molecular nitrogen ions in air under different conditions of focusing a femtosecond laser pulse with a wavelength of 950 nm are presented. The active-medium parameters are analyzed and a mechanism is proposed for formation of a picosecond superradiance pulse at a femtosecond seed-pulse duration.

A rigidity calculation model for the transverse joint of a prefabricated utility tunnel is established using Midas FEA software based on physical guidance. Taking the prefabricated multi-utility tunnel of South Kemugong road of Guangzhou Intelligent City as the experimental object, the position of its transverse joint is analyzed from the aspects of construction and internal force. Midas FEA is used

The paper studies the mechanical properties of the Fe–Ni–Cr alloy and the ultrasound propagation velocity (Rayleigh waves) during its plastic deformation within the temperature range of 180 ≤ T ≤ 318 K. Rayleigh wave propagation velocity is measured by a periodic generation of 100 ns pulses by a transmitting piezoelectric transducer and wave propagation recording by a receiving piezoelectric transducer

The paper presents the research results of the temperature dependence of molar heat capacity at a constant pressure within the temperature range from 5 to 300 K for vanadium-based materials. The density of states is calculated for all the materials near the Fermi level. It is shown that for V3Si and V3Ge compounds the density of states correlates with the superconducting transition temperature. It

The structure and properties of the yttria-stabilized zirconia ceramics with an addition of high-modulus inclusions of carbon nanotubes are studied. The composite materials are produced by spark plasma sintering. An introduction of carbon nanotubes gives rise to an insignificant decrease in the density and grain size of the ceramics. A larger volume fraction of nanotubes results in an improvement of

The paper presents mathematical simulation of localized plastic deformation of metal-intermetallic laminated composites after equal channel angular pressing. Deformation of single-phase intermetallic specimens is compared with deformation of laminated composites with different arrangement of lamellas relative to the compression axis. The deformation curves are suggested for these composites. The proposed

The nature of the elastic-plastic strain invariant is considered. It is shown that the absolute values of the invariant obtained in experiments obey the normal distribution. The contributions of the scale and velocity factors to the invariant value are studied. The independence of the invariant on the temperature is established.

The process of radiative decay of a Higgs boson into a fermion-antifermion pair \( H\Rightarrow \overline{ff}\upgamma . \) is investigated within the framework of the Standard Model. Taking into account the helicity of fermions and the circular polarization of a γ-quantum, an analytical expression for the decay width has been obtained. Circular polarization of the γ-quantum is examined in detail as

To the article “Study of the Optical Atmospheric Distortions Using Wavefront Sensor Data,” by P. G. Kovadlo, A. Yu. Shikhovtsev, E. A. Kopylov, A. V. Kiselev, and I. V. Russkikh, Vol. 63, No. 11, pp. 1952–1958, March, 2021.

Photoluminescence from Si nanocrystals embedded in a CaF2 dielectric matrix and formed on the surface of a Si(111) substrate is demonstrated. The photoluminescence was clearly seen in a dark room at room temperature. The typical photoluminescence spectrum has a 664 nm peak wavelength and a 134 nm full width at half maximum (FWHM). The photoluminescence was not observed at a lower temperature (77 K)

This paper presents the technology of fabrication of T-shaped gates for GaAs transistors using optical lithography and a unique method of directional angular deposition of thin aluminum films. The minimal foot length of the T-shaped gate formed using the developed technology was Lg = 25 nm. GaAs HEMT with a T-shaped gate formed using directional angular deposition demonstrated the drain-source saturation

The paper presents the methodology elaboration for the investigation of a high-speed impact interaction between the projectile and a split target. The impact interaction speed ranges between 1500 and 2500 m/s. The split target consisting of a polymethyl methacrylate target and a witness target made of D16 aluminum alloy, is placed at a 60 mm distance from the latter. Using mathematical simulation,

An analysis of spatially localized and time-periodic vibrational modes (discrete breathers – DBs) is carried out. It is found out that the discreteness and nonlinearity of the medium are the main necessary conditions for the existence of discrete breathers, and these conditions are satisfied in the crystal lattice. The role of DBs in the formation of the physical properties of crystals is discussed

Under various external and intracrystalline conditions (various temperatures, electric field strengths, initial values of the dark resistivity of the sample, the content and chemical nature of the introduced rare-earth impurity), the effect of a galvanically applied electric field on the intrinsic photoconductivity in single crystals of gallium selenide (p-GaSe) is studied. It is found that the photoconductivity

To solve problems of unsatisfactory velocity distribution, low oxygen filling efficiency, difficult control of dissolved oxygen content, and contradiction between oxygen filling capacity and power efficiency in aerator operation, an airfoil with a logarithmic spiral as a busbar and a NACA0012 airfoil as a cross section was proposed based on the characteristics of linear and operating parameters of

To obtain graphene, we propose to use organic reagents and pure graphite exposed to ultrasound. Toluene, benzene, kerosene, and hydrogen peroxide are used as organic reagents. Results of experimental investigations of graphene in the systems under consideration are presented. Graphene structures have been obtained due to chemical interaction of these organic solvents with graphite. This led to the

The temperature dependences of the linear dielectric permittivity ε′ and the third harmonic coefficient γ3ω for nanocomposites obtained by embedding a KNO3 melt into the pores of Al2O3 oxide films with diameters of 330, 190, and 100 nm are investigated. The measurements were carried out in the heating and cooling modes in the range from room temperature to 463 K. It was found that the structural phase

Stationary configuration of a rotating electrically charged ideal fluid with self-gravitation is considered within the framework of general relativity. Barotropic equation of state of the liquid is p = wε (w = const). A combination of a longitudinal magnetic field and a vortex gravitational field is considered. The boundaries of the interval of the barotropic coefficient w in which the material system

The paper proposes the use of axially asymmetric magnetic fields in the design of magnetic spectrometers, which improve their performance, namely energy resolution and luminosity. The proposed mathematical model includes the geometry of both particle trajectory in the phase space and devices forming the particle ensemble. The compression-tension class of geometric transformations is determined herein

Bolt end plate connection is one of the most widely used connection methods in steel structures. It is mainly used for beam-column connection and beam-to-beam splicing in a steel frame and a light steel portal steel frame. The connection strength of the bolt end plates of the steel structure under earthquake action reflects the seismic resistance of the steel structure. The analysis method for the

The effect of a relatively short external axial magnetic field on the characteristics of a vacuum arc discharge in a vacuum circuit breaker is studied. A pulsed magnetic field is generated by external coils. The shape of the magnetic field pulse is one harmonic half-cycle with duration of 1.5, 2.8, or 4.5 ms. The magnetic field induction is regulated independently of the main discharge current. The

The specific features of the sorption activity of silver nanoparticles (AgNPs) on biodegradable polymers of natural (collagen) and artificial (polyamide 6.6) origin have been established. The ability has been demonstrated for resorbable fibers of natural origin to more actively adsorb AgNPs with sizes from 1 to 10 nm during the first hour and stronger hold them on the surface during the first day of

Within the framework of the modified potential cluster model with forbidden states, radiative n12С capture at energies from 10–5 keV to 5 MeV has been considered with allowance for the wide resonance at Ex = 8.2 MeV. It has been shown that it is possible, with the help of potentials that have been matched with bound state energies, to accurately reproduce the available experimental data. Reaction rates

The paper deals with the synthesis of coating based on molybdenum and molybdenum nitrides using cathodic arc deposition without the plasma assistance. The properties, composition and structure of the obtained coating are studied in detail. It is found that the nitrogen partial pressure in the gas mixture affects the nitrogen concentration in the coatings and the properties of the latter. The structure

The paper studies the structure and mechanical properties of the copper alloy based on a Cu–Al–Si–Mn system, produced by wire-feed electron-beam additive manufacturing (EBAM). Energy dispersive X-ray spectroscopy on the scanning electron microscope is carried out to investigate the microstructure and composition of the obtained copper alloy specimens. The tensile strength and microhardness of the alloy

The paper investigates commercially pure titanium VT1-0 (US analog Grade 2) in the ultrafine grain state after the aluminum ion implantation at a fluence of 1∙1017, 5∙1017 and 10∙1017 ion/cm2. The investigation techniques include X-ray diffraction analysis, scanning electron microscopy with energy dispersive X-ray analysis, and transmission electron microscopy. Auger electron spectrometer is used to

A weighted maximum likelihood method (WMLM) of robust estimation of experimental data with outliers is proposed in this work. The method allows effective robust asymptotically unbiased estimates to be obtained under conditions of aprioristic uncertainty. Based on the WMLM, adaptive robust algorithms have been synthesized for solving semiparametric and semi-nonparametric problems of heterogeneous data

Evolution of the spectral characteristics of frequency-modulated radiation with pulse duration of 250 ps, energy of 2 mJ, and central wavelength λ = 475 nm in XeF(C-A) amplifier of THL-100 laser system is studied by numerical simulation methods. The laws of changing the spectra and spectral energy density of laser radiation have been investigated. The maximum spectral energy density of output radiation

The results of an experimental study of breakdown of a cone-to-plane gap, filled with nitrogen at a pressure of 12.5–400 kPa at a negative polarity, and its numerical simulation by the XOOPIC code are presented. The formation of a diffuse discharge is observed within the entire range of pressures. At the nitrogen pressures of up 200 kPa, a large-diameter streamer is formed in the gap. At higher pressure

In this paper, the Carey nonconforming finite element method (NFEM) for the second order elliptic problem is discussed. By means of the different techniques from the existing literatures, the non-uniform and uniform convergences are obtained only under the lowest regularity assumption on the solution \( u\in {H}_0^1\left(\Omega \right). \)

Common fractions N1/N2, where N1 and N2 are small integers, are quite often used for a quantum-mechanical description of microcosm objects (for example, fractional charges of quarks and some quantum characteristics, such as particle spins). Recently the fractional quantum Hall effect has been discovered, and the common fractions considerably expand their presence in microcosm physics. The theory of

Collective acceleration of protons and deuterons is compared in the same geometry of a Luce diode with a polyethylene anode at an accelerating diode voltage of 250 kV, current and pulse duration of relativistic electrons up to 30 kA and 90 ns, respectively. The accelerated ions were intercepted by B4C, BN, and AlN wafers, in which analytical radionuclides were produced according to the nuclear reactions

This paper is a generalization of two of our preceding papers which considered, among other things, a version of the solution with a minimum and a maximum number of atoms in the spatial configurations 1+2+3. Some results of these works, pertaining to probabilistic transitions of atoms from one configuration to another, follow from the results of the given paper as a special case.

Aiming at the reduction of low-frequency noise for large equipment, a damping optimization method based on the Operational Mode Analysis (OMA) is proposed. Due to the stability of the mode frequencies and shapes, damping application could make efficient noise reduction without bringing new problems compared with structural optimizations, which makes it one of the most important means for finalized

The special features of the second harmonic generation by a spherical nanoparticle with a plasmon shell are theoretically studied. Within the framework of quasistatic perturbation theory, expressions are derived for the induced dipole and quadrupole moments of the particle oscillating with a doubled frequency. The second harmonic radiation power has been calculated showing the resonance nature of the

At the Institute for Laser and Plasma Technologies of NRNU MEPhI, a compact spherical tokamak MEPhIST (MEPhI-Spherical Tokamak) has been developed and constructed for educational, demonstrational and research purposes. The creation of plasma diagnostic systems involves several stages, determined by a successive complication of the plasma research tasks, the device upgrading and the development of educational

The paper presents the development of the statistical theory of phase transformation of lithium aluminum amide with the formation of ammonia. Free energies of phases are calculated, and their dependences on temperature, pressure, hydrogen concentration and energy parameters are suggested. The phase diagram is suggested and thermodynamic equilibrium is calculated herein. Isothermal processes in phases

In order to overcome the problems of long analysis time, low accuracy, and high energy consumption in traditional lateral vibration analysis methods of high-rise buildings, a new method of lateral vibration analysis of high-rise buildings based on partial differential equation is proposed. Based on Hamilton’s principle, the partial differential equation of lateral vibration of high-rise buildings is

The characteristics of the multiple filamentation domain of femtosecond laser pulses in air have been estimated based on the single filamentation model. The diffraction-ray model is considered as the single filamentation model. It is based on representation of a laser beam by a set of diffraction-ray tubes nested into each other that do not intersected in space and do not exchange by their energies

The curvature and torsion of trajectories of charges in external gauge fields, including fields of magnetic monopoles, have been determined. It has been shown that these quantities are effectively calculated with the help of the equations of motion and first integrals. For a wide class of magnetic fields, their form-invariant combination has been revealed.

Results of studies of the luminescent properties of MgF2 ceramics and MgF2 ceramics doped with tungsten trioxide synthesized in air upon exposure to a pulsed electron beam are presented. The photo- and cathodoluminescence spectra and the photoluminescence excitation spectra have been studied at 300 K both in as-prepared samples and in the samples after high-temperature annealing in air. The presence

The paper shows that the structure constant and the average crystal grain size of anisotropic nanocrystalline magnetic film can be determined by analyzing the shape of the microwave absorption peak in sweeping the external magnetic field along the hard magnetization axis. In the theory of magnetization ripple, the surface energy density of the local magnetic anisotropy is connected with the structure

In the CeO2, ThO2, and NpO2 crystals, the acoustic branches of the phonon spectra correspond predominantly to the vibrations of metal ions, and the optical branches correspond mainly to the vibrations of oxygen ones, due to a significant difference in the masses of these components of the compounds. An important crystallographic phenomenon is that metal and oxygen are located in sublattices corresponding