arXiv subjects

A. A. Yushkanov

Publications and source records attributed to A. A. Yushkanov.

At least 19 recordsLinked to original sources

arXiv2017

Quantum Electron Plasma and Interaction of S-wave with Thin Metallic Film

An interaction of electromagnetic S-wave with thin flat metallic film is numerically studied for the quantum degenerate electron plasma. One considers the reflectance, transmittance and absorptance power coefficients. A contribution of quantum wave properties of electrons to the power coefficients is shown in comparison of the coefficients with ones evaluated for both the classical spatial dispersion and the Drude - Lorentz approaches. This contribution is detected for the infrared and terahertz frequencies in case of nanoscale film width.

physics.plasm-ph↗

arXiv2016

Temperature jump in second Stokes' problem by nonlinear analysis

The second Stokes problem about behavior of the viscous fluid (matter) filling half-space is considered. A flat surface limiting half-space makes harmonious oscillations in the eigen plane. The equations of mechanics of the continuous environment are used. It is shown, that in considered process there is the temperature difference between temperature of a surface and temperature environments far from a surface. Usually similar difference is called as temperature jump. The method of small parameter is applied. Temperature jump in the second approach is found out.

physics.flu-dyn↗

arXiv2016

Quantum Electron Plasma, Visible and Ultraviolet P-wave and Thin Metallic Film

The interaction of the visible and ultraviolet electromagnetic P-wave with the thin flat metallic film localized between two dielectric media is studied numerically in the framework of the quantum degenerate electron plasma approach. The reflectance, transmittance and absorptance power coefficients are chosen for investigation. It is shown that for the frequencies in the visible and ultraviolet ranges, the quantum power coefficients differ from the ones evaluated in framework of both the classical spatial dispersion and the Drude - Lorentz approaches.

physics.plasm-ph↗

arXiv2016

Maxwell problem about thermal sliding of rarefied gas along plate plane

One of classical boundary problems of the kinetic theory (a problem about thermal sliding) of the rarefied gas along a flat firm surface is considered. Kinetic Boltzmann equation with model integral of collisions BGK (Bhatnagar, Gross, Krook) is used. As boundary conditions the boundary Maxwell conditions (mirror-diffuse) are used. The generalized method of a source is applied to the problem decision. Comparison with earlier received results is spent.

physics.flu-dyn↗

arXiv2016

The kinetic theory to problem of attenuation transversal sound waves in metal

Earlier electron influence on sound absorption in metal on basis of the assumption of deformation of Fermi-surfaces under the influence of a sound wave was considered. In the present work other approach to this problem will be considered. Our approach based on the account of dynamic (kinetic) interaction of electronic gas with lattice fluctuations. The analysis of influence of electric field on process of attenuation of sound fluctuations is carried out. It is shown that in the long-wave limit this influence is essential.

physics.plasm-ph↗

arXiv2015

Nonlinear longitudinal current in quantum plasma generated by two transversal electromagnetic waves

Quantum plasma with arbitrary degree degeneration of electronic gas is considered. Plasma is in two external electromagnetic fields. It is required to find the plasma response on this fields. From Wigner kinetic equation for the quantum collisionless plasmas distribution function in square-law approach on sizes of vector potentials of two electric fields is received. The formula for calculation electric current at any temperature (any degree of degeneration of electronic gas) is deduced. This formula contains an one-dimensional quadrature. It is shown, that the nonlinearity account leads to occurrence the longitudinal electric current directed along a wave vectors. This longitudinal current is orthogonal to a known transversal current, received at the linear analysis. The case of small values of wave numbers is considered. It is shown, that in case of small values of wave numbers a longitudinal current in quantum plasma coincides with a longitudinal current in classical plasma.

physics.plasm-ph↗

arXiv2015

Longitudinal and transversal current in collisional plasma, generated by two transversal electromagnetic waves

From kinetic Vlasov equation for collisional plasmas distribution function in square-law approximation on sizes of intensivities of electric fields is received. The known integral of collisions of relaxation type, so-called BGK (Bhatnagar, Gross, Krook) integral of collisions is considered. The formula for calculation electric current at any temperature (any degree of degeneration of electronic gas) is deduced. This formula contains an one-dimensional quadrature. It is shown, that the nonlinearity account leads to occurrence the longitudinal electric current directed along a wave vector. This longitudinal current is orthogonal to a known transversal classical current, received at the linear analysis. When frequency of collisions tends to the zero, all received results for collisional plasmas pass in corresponding formulas for collisionless plasmas. The case of small values of wave number is considered. It is shown, that the received quantity of longitudinal current at aspiration of frequency of collisions to zero also passes in corresponding expression of current for collisionless plasmas. Graphic comparison of dimensionless quantity of current depending on wave number, frequency of oscillations of electromagnetic field and frequencies of electron collisions with plasma particles is carry out.

physics.plasm-ph↗

arXiv2015

Nonlinear longitudinal current, generated by two transversal electromagnetic waves in collisionless plasma

Classical plasma with any degree degeneration of electronic gas is considered. In plasma two external electromagnetic field are propagation. It is required to find the plasma response on these fields. From kinetic Vlasov equation for collisionless plasmas distribution function in square-law approximation on sizes of intensivities of two electric fields is received. The formula for calculation electric current at any temperature (any degree of degeneration electronic gas) is deduced. This formula contains an one-dimensional quadrature. It is shown, that the nonlinearity account leads to occurrence the longitudinal electric current directed along a wave vector. This longitudinal current is perpendicular to known tranversal classical current, received at the linear analysis. The case of small values of wave number is considered. Graphic comparison of dimensionless size of the current depending on wave number and frequency of oscillation of the electromagnetic fields is carry out.

physics.plasm-ph↗

arXiv2015

Longitudinal electric current in classical collisional Maxwellian plasma, inducted by transversal electromagnetic wave

Kinetic Vlasov equation for collisional Maxwellian plasmas is used. Collision integral of BGK (Bhatnagar, Gross and Krook) type is applied. From Vlasov equation we find distribution function of electrons in square-law approximation on size of transversal electric field. The formula for electric current calculation is deduced. This formula contains an one-dimensional quadrature. It is shown, that nonlinearity leads to revealing of the longitudinal electric current directed along a wave vector. This longitudinal current is perpendicular to known so-called transversal classical current. The classical current turns out at the linear analysis. The longitudinal current in case of small values of wave numbers is calculated. When frequency of collisions tends to zero, all received formulas for collisional plasmas pass in the known corresponding results for collisionless plasmas. Graphic research of dimensionless density of a current is carried out.

physics.plasm-ph↗

arXiv2015

Nonlinear longitudinal current in degenerate plasma, arising under the influence of the transversal electromagnetic field

Kinetic Vlasov-Boltzmann equation for degenerate collisional plasmas with integral of collisions of relaxation type BGK (Bhatnagar, Gross and Krook) is used. Square-law expansion on size of intensity of electric field for kinetic equation, Lorentz's force and integral of collisions is considered. It is shown, that nonlinearity leads to generation of the longitudinal electric current directed along a wave vector. Longitudinal current is perpendicular to the known transversal classical current received at the linear analysis. The case of small values of wave number is considered. When frequency of collisions tends to the zero, all received results for collisional pass plasmas in corresponding results for collisionless plasmas. Graphic research of the real and imaginary part current density is carried out.

physics.plasm-ph↗

arXiv2015

Generation of longitudinal electric current by the transversal electromagnetic field in collisional plasma

Kinetic Vlasov equation for collisional plasmas with BGK (Bhatnagar-Gross-Krook) collision integral is used. The case of arbitrary temperature (i.e. arbitrary degree of degeneration of electronic gas) is considered. From kinetic Vlasov equation the distribution function in square-law approximation on size of transversal electromagnetic field is received. The formula for calculation electric current is deduced. This formula contains one-dimension quadrature. It is shown, that the nonlinearity account leads to occurrence the longitudinal electric current directed along the wave vector. This longitudinal current is perpendicular to the known transversal classical current, received at the linear analysis. When frequency of collisions tends to zero, all received results for collisional plasma pass in known corresponding formulas for collisionless plasma. The case of small values of wave number is considered. It is shown, that the received quantity of longitudinal current at tendency of frequency of collisions to zero also passes in known corresponding expression of current for collisionless plasmas. Graphic research of dimensionless density of the current depending on wave number, frequency of oscillations of electromagnetic field and frequency of electron collisions with plasma particles is carried out.

physics.plasm-ph↗

arXiv2015

Generation of longitudinal electric current by the transversal electromagnetic field in classical and quantum degenerate plasma

The analysis of nonlinear interaction of transversal electromagnetic field with degenerate collisionless classical and quantum plasmas is carried out. Formulas for calculation electric current in degenerate collisionless classical and quantum plasmas are deduced. It has appeared, that the nonlinearity account leads to occurrence of longitudinal electric current directed along a wave vector. This second current is orthogonal to the known transversal current, received at the classical linear analysis. Graphic comparison of density of electric current for classical degenerate Fermi plasmas and Fermi-Dirac plasmas (plasmas with any degree of degeneration of electronic gas) is carried out. Graphic comparison of density of electric current for classical and quantum degenerate plasmas is carried out. Also comparison of dependence of density of electric current of quantum degenerate plasmas from dimensionless wave number at various values of dimensionless frequency of oscillations of electromagnetic field is carried out.

physics.plasm-ph↗

arXiv2015

Generation of longitudinal electric current by transversal electromagnetic field in Maxwellian plasmas

The analysis of nonlinear interaction of transversal electromagnetic field with Maxwellian collisionless classical and quntum plasmas is carried out. Formulas for calculation electric current in Maxwellian collisionless classical and quntum plasmas are deduced. It has appeared, that the nonlinearity account leads to occurrence of the longitudinal electric current directed along a wave vector. This second current is orthogonal to the known transversal current, received at the classical linear analysis. Graphic comparison of density of electric current for classical Maxwellian plasmas and Fermi---Dirac plasmas (plasmas with any degree of degeneration of electronic gas) is carried out. Graphic comparison of density of electric current for classical and quantum Maxwellian plasmas is carried out. Also comparison of dependence of density of electric current of quantum Maxwellian plasmas from dimensionless wave number at various values of dimensionless frequency of oscillations of electromagnetic field is carried out.

physics.plasm-ph↗

arXiv2015

Generation of the longitudinal current by the transversal electromagnetic field in classical and quantum plasmas

From Vlasov kinetic equation for collisionless plasmas distribution function in square-law approximation on size of electromagnetic field is received. Formulas for calculation electric current at any temperature (any degree of degeneration of electronic gas) are deduced. The case of small values of the wave numbers is considered. It is shown, that the nonlinearity account leads to occurrence the longitudinal electric current directed along a wave vector. This longitudinal current orthogonal to known transversal classical current, received at the linear analysis. From the kinetic equation with Wigner integral for collisionless quantum plasma distribution function is received in square-law on vector potential approximation. Formulas for calculation electric current at any temperature are deduced. The case of small values of wave number is considered. It is shown, that size of a longitudinal current at small values of wave number and for classical plasma and for quantum plasma coincide. Graphic comparison of dimensionless size of a current quantum and classical plasma is made.

physics.plasm-ph↗

arXiv2015

Nonlinear phenomena of generation of longitudinal electric current by transversal electromagnetic field in plasmas

The analysis of nonlinear interaction of transversal electromagnetic field with collisionless plasma is carried out. Formulas for calculation electric current in collisionless plasma with arbitrary degree of degeneration of electronic gas are deduced. It has appeared, that the nonlinearity account leads to occurrence of the longitudinal electric current directed along a wave vector. This second current is orthogonal to the known transversal current, received at the classical linear analysis.

physics.plasm-ph↗

arXiv2014

Analytical solution of problem about moderately strong evaporation (condensation) for one-dimensional kinetic equation

For one-dimensional linear kinetic equations analytical solutions of problems about moderately strong evaporation (condensation), when frequency of collisions of molecules is constant, are received . The equation and distribution function are linearize concerning the absolute Maxwellian, given far from a wall. Quantities of of temperature and concentration jumps are found. Distributions of concentration, mass velocity and temperature are constructed.

math-ph↗

arXiv2014

Boundary problems for the one-dimensional kinetic equation with the collisional frequence proportional to the module velocity of molecules

For the one-dimensional linear kinetic equations with collisional frequency of the molecules, proportional to the module velocity of molecules, analytical solutions of problems about temperature jump and weak evaporation (condensation) in rarefied gas are received. Quantities of temperature and concentration jumps are found. Distributions of concentration, mass velocity and temperature are constructed. Necessary numerical calculations and graphic researches are done.

math-ph↗

arXiv2014

Boundary problems for one-dimensional kinetic equation with constant collision frequency

For the one-dimensional linear kinetic equation analytical solutions of problems about temperature jump and weak evaporation (condensation) over flat surface are received. The equation has integral of collisions BGK (Bhatnagar, Gross and Krook) and constant frequency of collisions of molecules. Distribution of concentration, mass speed and temperature is received.

math-ph↗