Temperature jump in degenerate quantum gases in the presence of a Bose - Einstein condensate

TL;DR

This paper develops a kinetic model for degenerate quantum Bose gases with phonon-based excitations and analytically solves the temperature jump problem at the boundary in the presence of a Bose-Einstein condensate.

Contribution

It introduces a new kinetic equation considering momentum-dependent collision rates and provides an analytical solution for the temperature jump boundary problem.

Findings

Analytical solution for temperature jump in Bose gases with condensate

Model accounts for phonon-dominated excitations

Highlights boundary behavior in quantum gases

Abstract

We construct a kinetic equation modeling the behavior of degenerate quantum Bose gases whose collision rate depends on the momentum of elementary excitations. We consider the case where the phonon component is the decisive factor in the elementary excitations. We analytically solve the half-space boundary value problem of the temperature jump at the boundary of the degenerate Bose gas in the presence of a Bose -- Einstein condensate.