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

TL;DR

This paper derives an analytical expression for Kapitsa resistance in a degenerate Bose gas with Bogolyubov excitations, considering the influence of a Bose-Einstein condensate and momentum-dependent collision frequencies.

Contribution

It introduces a linearized kinetic model for degenerate Bose gases with Bogolyubov energy spectrum and solves the boundary problem analytically for the temperature jump.

Findings

Analytical expression for Kapitsa resistance obtained.

Solution accounts for momentum-dependent collision frequencies.

Results applicable to systems with Bose-Einstein condensates.

Abstract

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.