Analytic Solution of the Boltzmann Equation in an Expanding System
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)
- Sponsoring Org.:
- 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)
- OSTI Identifier:
- 1604417
- Alternate Identifier(s):
- OSTI ID: 1235607
- Grant/Contract Number:
- SC0004286; SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 116; Journal Issue: 2; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Bazow, D., Denicol, G. S., Heinz, U., Martinez, M., and Noronha, J. Analytic Solution of the Boltzmann Equation in an Expanding System. United States: N. p., 2016.
Web. doi:10.1103/PhysRevLett.116.022301.
Bazow, D., Denicol, G. S., Heinz, U., Martinez, M., & Noronha, J. Analytic Solution of the Boltzmann Equation in an Expanding System. United States. https://doi.org/10.1103/PhysRevLett.116.022301
Bazow, D., Denicol, G. S., Heinz, U., Martinez, M., and Noronha, J. Fri .
"Analytic Solution of the Boltzmann Equation in an Expanding System". United States. https://doi.org/10.1103/PhysRevLett.116.022301. https://www.osti.gov/servlets/purl/1604417.
@article{osti_1604417,
title = {Analytic Solution of the Boltzmann Equation in an Expanding System},
author = {Bazow, D. and Denicol, G. S. and Heinz, U. and Martinez, M. and Noronha, J.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.116.022301},
journal = {Physical Review Letters},
number = 2,
volume = 116,
place = {United States},
year = {Fri Jan 15 00:00:00 EST 2016},
month = {Fri Jan 15 00:00:00 EST 2016}
}
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