New Exact Solution of the Relativistic Boltzmann Equation and its Hydrodynamic Limit

Denicol, Gabriel S.; Heinz, Ulrich; Martinez, Mauricio; Noronha, Jorge; Strickland, Michael

doi:10.1103/PhysRevLett.113.202301

New Exact Solution of the Relativistic Boltzmann Equation and its Hydrodynamic Limit

Journal Article · Fri Nov 14 00:00:00 EST 2014 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.113.202301· OSTI ID:1604538

Denicol, Gabriel S. ^[1]; ^[2]; Martinez, Mauricio ^[2]; Noronha, Jorge ^[3]; Strickland, Michael ^[4]

McGill Univ., Montreal, QC (Canada); The Ohio State University
The Ohio State Univ., Columbus, OH (United States)
Univ. de Sao Paulo (Brazil)
Kent State Univ., Kent, OH (United States)

We present an exact solution of the relativistic Boltzmann equation for a system undergoing boostinvariant longitudinal and azimuthally symmetric transverse flow (“Gubser flow”). The resulting exact nonequilibrium dynamics is compared to first and second order relativistic hydrodynamic approximations for various shear viscosity to entropy density ratios. Finally, this novel solution can be used to test the validity and accuracy of different hydrodynamic approximations in conditions similar to those generated in relativistic heavy-ion collisions.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq); Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP); Natural Sciences and Engineering Research Council of Canada; USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC02-05CH11231; SC0004104; SC0004286

OSTI ID:: 1604538

Alternate ID(s):: OSTI ID: 1180030

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 113; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lemaître-Robertson-Walker spacetime Bazow, D.; Denicol, G. S.; Heinz, U. arXiv https://doi.org/10.48550/arxiv.1607.05245	text	January 2016
Causality and existence of solutions of relativistic viscous fluid dynamics with gravity Bemfica, Fabio S.; Disconzi, Marcelo M.; Noronha, Jorge arXiv https://doi.org/10.48550/arxiv.1708.06255	text	January 2017
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