Bulk viscosity of strongly interacting matter in the relaxation time approximation

Czajka, Alina; Hauksson, Sigtryggur; Shen, Chun; Jeon, Sangyong; Gale, Charles

doi:10.1103/PhysRevC.97.044914

Title: Bulk viscosity of strongly interacting matter in the relaxation time approximation

Journal Article · Tue Apr 24 00:00:00 EDT 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.97.044914· OSTI ID:1454832

Czajka, Alina ^[1]; Hauksson, Sigtryggur ^[2]; Shen, Chun ^[3]; Jeon, Sangyong ^[2]; Gale, Charles ^[2]

McGill Univ., Montreal, QC (Canada); Jan Kochanowski Univ., Kielce (Poland)
McGill Univ., Montreal, QC (Canada)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Here, we show how thermal mean field effects can be incorporated consistently in the hydrodynamical modeling of heavy-ion collisions. The nonequilibrium correction to the distribution function resulting from a temperature-dependent mass is obtained in a procedure which automatically satisfies the Landau matching condition and is thermodynamically consistent. The physics of the bulk viscosity is studied here for Boltzmann and Bose-Einstein gases within the Chapman-Enskog and 14-moment approaches in the relaxation time approximation. Constant and temperature-dependent masses are considered in turn. It is shown that, in the small mass limit, both methods lead to the same value of the ratio of the bulk viscosity to its relaxation time. The inclusion of a temperature-dependent mass leads to the emergence of the β_λ function in that ratio, and it is of the expected parametric form for the Boltzmann gas, while for the Bose-Einstein case it is affected by the infrared cutoff. This suggests that the relaxation time approximation may be too crude to obtain a reliable form of ς/τ_R for gases obeying Bose-Einstein statistics.

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

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

Grant/Contract Number:: SC0012704

OSTI ID:: 1454832

Alternate ID(s):: OSTI ID: 1434403

Report Number(s):: BNL-205755-2018-JAAM; PRVCAN; TRN: US1901164

Journal Information:: Physical Review C, Vol. 97, Issue 4; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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