Analytic solution of the Boltzmann equation in an expanding system
High Energy Physics - Phenomenology
2016-01-20 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Nuclear Theory
Fluid Dynamics
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
Cite
@article{arxiv.1507.07834,
title = {Analytic solution of the Boltzmann equation in an expanding system},
author = {D. Bazow and G. S. Denicol and U. Heinz and M. Martinez and J. Noronha},
journal= {arXiv preprint arXiv:1507.07834},
year = {2016}
}
Comments
5 pages, 1 figure; minor changes, accepted for publication in Phys. Rev. Lett