Alexander A. Yushkanov

arXiv2010

Kapitsa resistence in degenerate quantum gases with Bogolyubov energy excitations in the presence of Bose - Einstein condensate

The linearized kinetic equation modelling behaviour of the degenerate quantum bose gas with the frequency of collisions depending on momentum of elementary excitations is constructed. The general case of dependence of the elementary excitations energy on momentum according to Bogolyubov formula is considered. The analytical solution of the half-space boundary problem on temperature jump on border of degenerate bose gas in the presence of a Bose - Einstein condensate is received. Expression for Kapitsa resistance is received.

math-ph↗

arXiv2009

Skin effect with arbitrary specularity in Maxwellian plasma

The problem of skin effect with arbitrary specularity in maxwellian plasma with specular--diffuse boundary conditions is solved. A new analytical method is developed that makes it possible to to obtain a solution up to an arbitrary degree of accuracy. The method is based on the idea of symmetric continuation not only the electric field, but also electron distribution function. The solution is obtained in a form of von Neumann series.

math-ph↗