arXiv:1507.07834·v2·High Energy Physics — Phenomenology
Analytic solution of the Boltzmann equation in an expanding system
D. Bazow (Ohio State U.)🇺🇸 · G. S. Denicol (Brookhaven & McGill U.)🇨🇦 · U. Heinz (Ohio State U.)🇺🇸 · M. Martinez (Ohio State U.)🇺🇸 · J. Noronha (Sao Paulo U. & Columbia U.)🇧🇷
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.
Comments: 5 pages, 1 figure; minor changes, accepted for publication in Phys. Rev. Lett