35 Result(s)
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Article
The behavior of plasma with an arbitrary degree of degeneracy of electron gas in the conductive layer
We obtain an analytic solution of the boundary problem for the behavior (fluctuations) of an electron plasma with an arbitrary degree of degeneracy of the electron gas in the conductive layer in an external el...
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Article
Longitudinal electric current generated by a transverse electromagnetic field in a collisional plasma
We consider a collisional plasma with an arbitrary degree of degeneration of the electron gas. The plasma is located in an external electromagnetic field. We calculate the electric current generated in the pla...
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Article
Magnetic susceptibility and Landau diamagnetism of a quantum collisional degenerate plasma
We use a correct expression for the electric conductivity of a quantum collisional degenerate plasma to obtain the kinetic description of magnetic susceptibility and to derive a formula for calculating the Lan...
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Article
Longitudinal electric conductivity in a quantum plasma with a variable collision frequency in the framework of the Mermin approach
In the framework of the Mermin approach, we obtain formulas for the longitudinal electric conductivity in a quantum collisional plasma with a collision frequency depending on the momentum. We use a kinetic equ...
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Article
Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach
We derive formulas for the transverse electrical conductivity and the permittivity in a quantum collisional plasma using the kinetic equation for the density matrix in the relaxation approximation in the momen...
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Article
Longitudinal permittivity of a quantum degenerate collisional plasma
We find the permittivity of a degenerate electron gas for a collisional plasma. We use the Wigner-Vlasov-Boltzmann kinetic equation with the collision integral in the relaxation form in the coordinate space. W...
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Article
Analytical solution of the problem of sphere rotation in a rarefied molecular gas
A problem of sphere rotation in a rarefied molecular gas is solved in an isothermal approximation. The particle velocity profile in the rarefied molecular gas entrained by the rotating sphere is obtained with ...
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Article
Temperature jump in degenerate quantum gases with the Bogoliubov excitation energy and in the presence of the Bose-Einstein condensate
We construct a linearized kinetic equation modeling the behavior of degenerate quantum Bose gases with the collision rate dependent on the momentum of elementary excitations. We consider the general case where...
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Article
Temperature jump in degenerate quantum gases in the presence of a Bose-Einstein condensate
We construct a kinetic equation modeling the behavior of degenerate quantum Bose gases whose collision rate depends on the momentum of elementary excitations. We consider the case where the phonon component is...
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Article
Smoluchowski problem for metals with mirror-diffusive boundary conditions
We solve the Smoluchowski problem for the distribution of electron-gas temperatures near the metal surface in the presence of a temperature gradient normal to the surface. We assume mirror-diffusive scattering...
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Article
Smolukhowski problem for degenerate Bose gases
We construct a kinetic equation simulating the behavior of degenerate quantum Bose gases with the collision rate proportional to the molecule velocity. We obtain an analytic solution of the half-space boundary...
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Article
Behavior of a plasma with the collision rate proportional to the electron velocity in an external electric field
We solve the problem of the behavior of a gas plasma in a half-space analytically using the kinetic equation with the collision rate proportional to the modulus of the electron velocity. The plasma is in a var...
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Article
Reflection of plasma waves from a plane boundary
We state and analytically solve the linearized problem of the reflection of plasma waves from the half-space boundary in gas plasma for the first time. We consider mirror and diffusion boundary conditions and ...
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Article
Degenerate plasma in a half-space under an external electric field
An analytic solution is found for the problem on the behavior of a collisional plasma in a variable external electric field. We elucidate the structure of the screened electric field and investigate the case w...
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Article
Effect of Temperature on Slip Coefficients of Molecular Gases
Results obtained by accurate analytical methods applied to the problem of molecular-gas slip over a rigid spherical surface are reported. The Boltzmann equation is modified to take into account rotational degr...
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Article
The Method of Singular Equations in Boundary Value Problems in Kinetic Theory
We develop a new effective method for solving boundary value problems in kinetic theory. The method permits solving boundary value problems for mirror and diffusive boundary conditions with an arbitrary accura...
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Article
Smolukhovsky problem for electrons in a metal
We find an analytic solution of the Smolukhovsky problem of the temperature and electric potential jumps in a metal under the action of the temperature gradient normal to the surface. We take the character of ...
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Article
Smolukhovsky problem for electrons in a metal
We find an analytic solution of the Smolukhovsky problem of the temperature and electric potential jumps in a metal under the action of the temperature gradient normal to the surface. We take the character of ...
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Article
Analytical Solution of Boundary-Value Problems for the Ellipsoidal Statistical Equation
This paper describes an analytical method for solving semispatial boundary-value problems for the ellipsoidal statistical equation with a frequency proportional to the molecular velocity. The classical Smoluch...
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Article
Calculation of the Slip Velocity of a Rarefied Gas on a Solid Spherical Surface with Allowance for Accommodation Coefficients
The slip velocity of a rarefied gas with inhomogeneous temperature and mass velocity on a solid spherical surface is calculated with the use of a two‐moment boundary condition in the linear approximation in te...
