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Title: Higher order and anisotropic hydrodynamics for Bjorken and Gubser flows

Abstract

We study the evolution of hydrodynamic and nonhydrodynamic moments of the distribution function using anisotropic and third-order Chapman-Enskog hydrodynamics for systems undergoing Bjorken and Gubser flows. The hydrodynamic results are compared with the exact solution of the Boltzmann equation with a collision term in relaxation time approximation. While the evolution of the hydrodynamic moments of the distribution function (i.e., of the energy momentum tensor) can be described with high accuracy by both hydrodynamic approximation schemes, their description of the evolution of the entropy of the system is much less precise. We attribute this to large contributions from nonhydrodynamic modes coupling into the entropy evolution, which are not well captured by the hydrodynamic approximations. The differences between the exact solution and the hydrodynamic approximations are larger for the third-order Chapman-Enskog hydrodynamics than for anisotropic hydrodynamics, which effectively resums some of the dissipative effects from anisotropic expansion to all orders in the anisotropy, and are larger for Gubser flow than for Bjorken flow. Overall, anisotropic hydrodynamics provides the most precise macroscopic description for these highly anisotropically expanding systems.

Authors:
 [1];  [2];  [1];  [3]
  1. Tata Inst. of Fundamental Research, Mumbai (India). Dept. of Nuclear and Atomic Physics
  2. The Ohio State Univ., Columbus, OH (United States). Dept. of Physics; European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
  3. The Ohio State Univ., Columbus, OH (United States). Dept. of Physics
Publication Date:
Research Org.:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF)
OSTI Identifier:
1454315
Alternate Identifier(s):
OSTI ID: 1503828
Grant/Contract Number:  
SC0004286; ACI-1550223
Resource Type:
Published Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; Journal Issue: 6; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; hydrodynamic models; quark-gluon plasma; relativistic heavy-ion collisions

Citation Formats

Chattopadhyay, Chandrodoy, Heinz, Ulrich, Pal, Subrata, and Vujanovic, Gojko. Higher order and anisotropic hydrodynamics for Bjorken and Gubser flows. United States: N. p., 2018. Web. doi:10.1103/physrevc.97.064909.
Chattopadhyay, Chandrodoy, Heinz, Ulrich, Pal, Subrata, & Vujanovic, Gojko. Higher order and anisotropic hydrodynamics for Bjorken and Gubser flows. United States. doi:10.1103/physrevc.97.064909.
Chattopadhyay, Chandrodoy, Heinz, Ulrich, Pal, Subrata, and Vujanovic, Gojko. Thu . "Higher order and anisotropic hydrodynamics for Bjorken and Gubser flows". United States. doi:10.1103/physrevc.97.064909.
@article{osti_1454315,
title = {Higher order and anisotropic hydrodynamics for Bjorken and Gubser flows},
author = {Chattopadhyay, Chandrodoy and Heinz, Ulrich and Pal, Subrata and Vujanovic, Gojko},
abstractNote = {We study the evolution of hydrodynamic and nonhydrodynamic moments of the distribution function using anisotropic and third-order Chapman-Enskog hydrodynamics for systems undergoing Bjorken and Gubser flows. The hydrodynamic results are compared with the exact solution of the Boltzmann equation with a collision term in relaxation time approximation. While the evolution of the hydrodynamic moments of the distribution function (i.e., of the energy momentum tensor) can be described with high accuracy by both hydrodynamic approximation schemes, their description of the evolution of the entropy of the system is much less precise. We attribute this to large contributions from nonhydrodynamic modes coupling into the entropy evolution, which are not well captured by the hydrodynamic approximations. The differences between the exact solution and the hydrodynamic approximations are larger for the third-order Chapman-Enskog hydrodynamics than for anisotropic hydrodynamics, which effectively resums some of the dissipative effects from anisotropic expansion to all orders in the anisotropy, and are larger for Gubser flow than for Bjorken flow. Overall, anisotropic hydrodynamics provides the most precise macroscopic description for these highly anisotropically expanding systems.},
doi = {10.1103/physrevc.97.064909},
journal = {Physical Review C},
number = 6,
volume = 97,
place = {United States},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevc.97.064909

Citation Metrics:
Cited by: 4 works
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