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

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

2012-02-13

arxiv.org/abs/1202.2647v1

Physics

Mathematical Physics

51 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1106.0816

Scientific paper

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.

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