Perfect fluidity of a dissipative system: Analytical solution for the Boltzmann equation in AdS2 Ⓧ S2

Noronha, Jorge; Denicol, Gabriel S.

doi:10.1103/PhysRevD.92.114032

Perfect fluidity of a dissipative system: Analytical solution for the Boltzmann equation in AdS₂ Ⓧ S₂

Journal Article · Wed Dec 30 00:00:00 UTC 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.114032· OSTI ID:1295202

Noronha, Jorge ^[1]; Denicol, Gabriel S. ^[2]

Columbia Univ., New York, NY (United States); Univ. de Sao Paulo, Sao Paulo (Brazil)
McGill Univ., Montreal, QC (Canada); Brookhaven National Lab. (BNL), Upton, NY (United States)

In this paper we obtain an analytical solution of the relativistic Boltzmann equation under the relaxation time approximation that describes the out-of-equilibrium dynamics of a radially expanding massless gas. This solution is found by mapping this expanding system in flat spacetime to a static flow in the curved spacetime AdS₂ Ⓧ S₂. We further derive explicit analytic expressions for the momentum dependence of the single-particle distribution function as well as for the spatial dependence of its moments. We find that this dissipative system has the ability to flow as a perfect fluid even though its entropy density does not match the equilibrium form. The nonequilibrium contribution to the entropy density is shown to be due to higher-order scalar moments (which possess no hydrodynamical interpretation) of the Boltzmann equation that can remain out of equilibrium but do not couple to the energy-momentum tensor of the system. Furthermore, in this system the slowly moving hydrodynamic degrees of freedom can exhibit true perfect fluidity while being totally decoupled from the fast moving, nonhydrodynamical microscopic degrees of freedom that lead to entropy production.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: SC0012704

OSTI ID:: 1295202

Alternate ID(s):: OSTI ID: 1234100

Report Number(s):: BNL--112210-2016-JA; KB0301020

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 11 Vol. 92; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (6)

Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lemaître-Robertson-Walker spacetime Bazow, D.; Denicol, G. S.; Heinz, U. Physical Review D, Vol. 94, Issue 12 https://doi.org/10.1103/physrevd.94.125006	journal	December 2016
Causality and existence of solutions of relativistic viscous fluid dynamics with gravity Bemfica, Fábio S.; Disconzi, Marcelo M.; Noronha, Jorge Physical Review D, Vol. 98, Issue 10 https://doi.org/10.1103/physrevd.98.104064	journal	November 2018
Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow Behtash, Alireza; Kamata, Syo; Martinez, Mauricio Physical Review D, Vol. 99, Issue 11 https://doi.org/10.1103/physrevd.99.116012	journal	June 2019
Analytic Solution of the Boltzmann Equation in an Expanding System Bazow, D.; Denicol, G. S.; Heinz, U. Physical Review Letters, Vol. 116, Issue 2 https://doi.org/10.1103/physrevlett.116.022301	journal	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

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