Constructing a Model Transport Equation for a Massless Bose Gas and its Analytic Solution

TL;DR

This paper develops a kinetic model for massless Bose gas transport, providing an analytic solution to radiation boundary problems in dispersive media, highlighting the impact of scattering properties on temperature differences.

Contribution

It introduces a new model kinetic equation for massless Bose gases and derives an analytic solution for radiation transport in dispersive media.

Findings

Temperature difference depends on scattering properties

Analytic solution for boundary value problem

Model applicable to dispersive media

Abstract

A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value problem for the transport of radiation in the half-space occupied by a dispersive medium that is in local thermal equilibrium with the radiation. It is shown that the difference in temperature between the dispersive medium and the incident radiation depends substantially on the character of the scattering properties of the particles of the medium.