Analytic Solution of the Boltzmann Equation in an Expanding System

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

doi:10.1103/PhysRevLett.116.022301

Title: Analytic Solution of the Boltzmann Equation in an Expanding System

Journal Article · Fri Jan 15 00:00:00 EST 2016 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.116.022301· OSTI ID:1604417

Bazow, D. ^[1]; Denicol, G. S. ^[2];

^[1]; Martinez, M. ^[1]; Noronha, J. ^[3]

The Ohio State Univ., Columbus, OH (United States)
McGill Univ., Montreal, QC (Canada); Brookhaven National Lab. (BNL), Upton, NY (United States)
Univ. de Sao Paulo, Sao Paulo, SP (Brazil). Inst. de Fısica; Columbia Univ., New York, NY (United States)

For a massless gas with a constant cross section in a homogeneous, isotropically expanding spacetime we reformulate the relativistic Boltzmann equation as a set of nonlinear 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. Finally, the nonequilibrium behavior of this relativistic gas can be mapped onto that of a homogeneous, static nonrelativistic gas of Maxwell molecules.

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Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); Natural Sciences and Engineering Research Council of Canada (NSERC); Conselho Nacional de Desenvolvimento Cientıfico e Tecnol´ogico (CNPq); Funda¸cao de Amparo `a Pesquisa do Estado de Sao Paulo (FAPESP)

Grant/Contract Number:: SC0004286; SC0012704

OSTI ID:: 1604417

Alternate ID(s):: OSTI ID: 1235607

Journal Information:: Physical Review Letters, Vol. 116, Issue 2; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 35 works

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