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

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:

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)

Publication Date:: Fri Jan 15 00:00:00 EST 2016

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.

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                    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

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                    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.

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@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}

}

Copy to clipboard

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

Abstract

Citation Formats

Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation journal, December 2014

Quark-gluon transport theory II. Color response and color correlations in a quark-gluon plasma journal, April 1986

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Pressure Isotropization in High Energy Heavy Ion Collisions journal, December 2013

Analytic solutions of the relativistic Boltzmann equation journal, April 2015

Universal attractor in a highly occupied non-Abelian plasma journal, June 2014

Exact solutions of the Boltzmann equation journal, January 1977

Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges journal, December 1995

Derivation of transient relativistic fluid dynamics from the Boltzmann equation journal, June 2012

New Exact Solution of the Relativistic Boltzmann Equation and its Hydrodynamic Limit journal, November 2014

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Anisotropic hydrodynamics for rapidly expanding systems journal, October 2013

Testing viscous and anisotropic hydrodynamics in an exactly solvable case journal, August 2013

Anisotropic hydrodynamics for conformal Gubser flow journal, December 2016

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Universal attractor in a highly occupied non-Abelian plasma text, January 2013

Shear-bulk coupling in nonconformal hydrodynamics text, January 2014

Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation text, January 2014

Isotropization and hydrodynamization in weakly coupled heavy-ion collisions text, January 2015

Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade text, January 2004

The massless Einstein–Boltzmann system with a conformal gauge singularity in an FLRW background journal, January 2020

Melting and freeze-out conditions of hadrons in a thermal medium text, January 2018

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Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
journal, December 2014

Quark-gluon transport theory II. Color response and color correlations in a quark-gluon plasma
journal, April 1986

Microscopic models for ultrarelativistic heavy ion collisions
journal, January 1998

Quark-gluon transport theory I. The classical theory
journal, April 1985

Erratum to “Saturation of elliptic flow and the transport opacity of the gluon plasma at RHIC”
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Isotropization and Hydrodynamization in Weakly Coupled Heavy-Ion Collisions
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General relativistic Boltzmann equation, II: Manifestly covariant treatment
journal, May 2009

Saturation of elliptic flow and the transport opacity of the gluon plasma at RHIC
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Erratum: Derivation of transient relativistic fluid dynamics from the Boltzmann equation [Phys. Rev. D 85 , 114047 (2012)]
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Transport coefficients in high temperature gauge theories (I): leading-log results
journal, November 2000

Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade
journal, June 2005

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journal, December 2015

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text, January 2014

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Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
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Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions
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