Analytic solution of the Boltzmann equation in an expanding system

Preprint

23 December 2015

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1507.07834

Abstract

For a massless gas with constant cross section in a homogeneous, isotropically expanding spacetime we reformulate the relativistic Boltzmann equation as a set of non-linear coupled moment equations. For a particular initial condition this set can be solved exactly, yielding the first analytical solution of the Boltzmann equation for an expanding system. The non-equilibrium behavior of this relativistic gas can be mapped onto that of a homogeneous, static non-relativistic gas of Maxwell molecules.

Keywords

ANALYTICAL SOLUTION
BOLTZMANN EQUATION
RELATIVISTIC GAS
EXPANDING SYSTEM
MASSLESS GAS
HOMOGENEOUS
EQUATION

All Related Versions

Version 1, 2015-07-28, ArXiv
Version 2, 2015-12-23, ArXiv
Published version: Physical Review Letters, 116 (2), 022301.

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