The Kramers problem for quantum bose-gases with constant collision frequency and specular-diffusive boundary conditions
Abstract
The Kramers problem for quantum Bose-gases with specular-diffuse boundary conditions of the kinetic theory is considered. On an example of Kramers' problem the new generalized 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.
Keywords
Cite
@article{arxiv.1212.1270,
title = {The Kramers problem for quantum bose-gases with constant collision frequency and specular-diffusive boundary conditions},
author = {E. A. Bedrikova and A. V. Latyshev},
journal= {arXiv preprint arXiv:1212.1270},
year = {2012}
}
Comments
54 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:1202.2647, arXiv:1106.0816