The Kramers problem for quantum fermi-gases with constant collision frequency and specular - diffusive boundary conditions

2012/02/13 by Ivanisenko, P. V., Latyshev, A. V.
#80A99 #82B40 #82C40 #82C99 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1202.2647

Abstract

The Kramers problem for quantum fermi-gases with specular - diffuse boundary conditions of the kinetic theory is considered. On an example of Kramers problem the new generalised method of a source of the decision of the boundary problems from the kinetic theory is developed. The method allows to receive the decision with any degree of accuracy. At the basis of a method lays the idea of representation of a boundary condition on distribution function in the form of a source in the kinetic equation. By means of integrals Fourier the kinetic equation with a source is reduced to the integral equation of Fredholm type of the second kind. The decision is received in the form of Neumann's series.

Related

• The Kramers problem for quantum bose-gases with constant collision frequency and specular-diffusive boundary conditions
• The Kramers Problem for Quantum Fermi Gases with Velocity - Dependent Collision Frequency and Specular - Diffusive Boundary Conditions
• The Kramers Problem for Quantum Fermi Gases with Velocity--Dependent Collision Frequency and Diffusive Boundary Conditions
• New method of solving of boundary problems in kinetic theory
• Solution of the Kramers' problem about isothermal sliding of moderately dense gas with accomodation boundary conditions