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arXiv · 1507.07834

Analytic solution of the Boltzmann equation in an expanding system

D. Bazow·G. S. Denicol·U. Heinz·M. Martinez·J. Noronha
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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.

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D. Bazow, G. S. Denicol, U. Heinz, M. Martinez, J. Noronha. 2015-12-23. Analytic solution of the Boltzmann equation in an expanding system. https://doi.org/10.1103/physrevlett.116.022301

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