37 Result(s)
within
A. V. Latyshev
Theoretical, Mathematical and Computational Physics
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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
Solution of the Problem of the Couette Flow for a Fermi Gas with Almost Specular Boundary Conditions
A solution of the Couette problem for a Fermi gas is constructed. The kinetic Bhatnagar–Gross–Krook (BGK) equation is used. Almost specular boundary conditions are considered. Formulas for the mass flux and th...
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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
Chemical Potential Jump During Evaporation of a Bose Gas with Variable Molecular Collision Frequency
Evaporation of a binary mixture is considered for the case when the evaporating component is a Bose gas. An analytical solution of the problem of the chemical potential jump of a Bose gas is obtained for the c...
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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
The second Stokes problem with specular–diffusive boundary conditions
A solution has been obtained for the second Stokes problem for a monatomic gas with specular–diffusive boundary conditions. The plane bounding a half-space that is filled with gas, executes harmonic oscillatio...
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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
Investigation of the skin effect in plasmas with the use of a two-parameter kinetic equation
An analytic solution taking into account the effect of electron-electron collisions has been obtained for the problem on the skin effect in a nondegenerate electron plasma. The impedance was analyzed in relati...
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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
Isothermal slip of a Fermi gas with specular-diffuse reflection from the boundary
A solution of the Kramers problem on isothermal slip of a quantum Fermi gas along a plane solid surface has been obtained. The reflection of molecules from the wall was supposed to be specular-diffuse. A model...
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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
A solution to the problem of the skin effect with a bias current in the Maxwell plasma by the method of expansion in eigenfunctions
A problem of the skin effect in the Maxwell plasma is solved analytically by the method of expansion in eigenfunctions based on the Vlasov–Maxwell kinetic equation with a self-consistent electric field. Specul...
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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
Thermal slip of Fermi gases
A kinetic equation which describes the behavior of Fermi gases in a half-spatial problem of thermal slip has been deduced for the first time. For the problem, an analytic solution has been found and the functi...
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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...
