Heat conduction in relativistic neutral gases revisited

TL;DR

This paper revisits heat conduction in relativistic neutral gases, deriving transport coefficients from the Boltzmann equation and analyzing relativistic corrections to classical heat flux relations.

Contribution

It provides a detailed calculation of heat flux transport coefficients in relativistic gases from the full Boltzmann equation, including relativistic corrections.

Findings

Transport coefficients derived from the Boltzmann equation.

Relativistic corrections significantly affect heat flux.

Heat flux depends on both temperature and density gradients.

Abstract

The kinetic theory of dilute gases to first order in the gradients yields linear relations between forces and fluxes. The heat flux for the relativistic gas has been shown to be related not only to the temperature gradient but also to the density gradient in the representation where number density, temperature and hydrodynamic velocity are the independent state variables. In this work we show the calculation of the corresponding transport coefficients from the full Boltzmann equation and compare the magnitude of the relativistic correction.