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:
- Publication Date:
- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
- OSTI Identifier:
- 1454315
- Alternate Identifier(s):
- OSTI ID: 1503828; OSTI ID: 1604328
- Grant/Contract Number:
- SC0004286; ACI-1550223
- Resource Type:
- Published Article
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Name: Physical Review C 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:https://doi.org/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:https://doi.org/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}
}
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DOI: https://doi.org/10.1103/PhysRevC.97.064909
DOI: https://doi.org/10.1103/PhysRevC.97.064909
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Works referencing / citing this record:
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