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

Title: 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 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.

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); 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 (NSERC)

Grant/Contract Number:: SC0004286; AC02-05CH11231; SC0004104; AC0205CH11231

OSTI ID:: 1604538

Alternate ID(s):: OSTI ID: 1180030

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 101 works

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Thermal Dissipation in Two Dimensional Relativistic Fermi Gases with a Relaxation Time Model Méndez, A. R.; García-Perciante, A. L.; Chacón-Acosta, G. Journal of Statistical Physics, Vol. 178, Issue 4 https://doi.org/10.1007/s10955-019-02473-3	journal	January 2020
Calculation of power spectrum of the little bangs Sarwar, Golam; Singh, Sushant K.; Alam, Jan-e International Journal of Modern Physics A, Vol. 33, Issue 20 https://doi.org/10.1142/s0217751x1850121x	journal	July 2018
New theories of relativistic hydrodynamics in the LHC era Florkowski, Wojciech; Heller, Michal P.; Spaliński, Michał Reports on Progress in Physics, Vol. 81, Issue 4 https://doi.org/10.1088/1361-6633/aaa091	journal	February 2018
Early thermalization, hydrodynamics and energy loss in AdS/CFT Chesler, Paul M.; van der Schee, Wilke International Journal of Modern Physics E, Vol. 24, Issue 10 https://doi.org/10.1142/s0218301315300118	journal	October 2015
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The importance of the bulk viscosity of QCD in ultrarelativistic heavy-ion collisions Ryu, S.; Paquet, J. -F.; Shen, C. arXiv https://doi.org/10.48550/arxiv.1502.01675	text	January 2015
Entropy Production, Hydrodynamics, and Resurgence in the Primordial Quark-Gluon Plasma from Holography Buchel, Alex; Heller, Michal P.; Noronha, Jorge arXiv https://doi.org/10.48550/arxiv.1603.05344	text	January 2016
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
Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics Denicol, Gabriel S.; Noronha, Jorge arXiv https://doi.org/10.48550/arxiv.1711.01657	text	January 2017
Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow Behtash, Alireza; Cruz-Camacho, C. N.; Martinez, M. arXiv https://doi.org/10.48550/arxiv.1711.01745	text	January 2017
Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow Denicol, Gabriel; Noronha, Jorge arXiv https://doi.org/10.48550/arxiv.1804.04771	text	January 2018
The non-equilibrium attractor for kinetic theory in relaxation time approximation Strickland, Michael arXiv https://doi.org/10.48550/arxiv.1809.01200	text	January 2018
Including off-diagonal anisotropies in anisotropic hydrodynamics Nopoush, Mohammad; Strickland, Michael arXiv https://doi.org/10.48550/arxiv.1902.03303	text	January 2019
Thermal dissipation in two dimensional relativistic Fermi gases with a relaxation time model Méndez, A. R.; García-Perciante, A. L.; Chacón-Acosta, G. arXiv https://doi.org/10.48550/arxiv.1903.04485	text	January 2019

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