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Title: Relativistic Fluid Dynamics Far From Local Equilibrium

Abstract

Fluid dynamics is traditionally thought to apply only to systems near local equilibrium. In this case, the effective theory of fluid dynamics can be constructed as a gradient series. Recent applications of resurgence suggest that this gradient series diverges, but can be Borel resummed, giving rise to a hydrodynamic attractor solution which is well defined even for large gradients. As a result, arbitrary initial data quickly approaches this attractor via nonhydrodynamic mode decay. This suggests the existence of a new theory of far-from-equilibrium fluid dynamics. In this Letter, the framework of fluid dynamics far from local equilibrium for a conformal system is introduced, and the hydrodynamic attractor solutions for resummed Baier-Romatschke-Son-Starinets-Stephanov theory, kinetic theory in the relaxation time approximation, and strongly coupled N = 4 super Yang-Mills theory are identified for a system undergoing Bjorken flow.

Authors:
 [1]
  1. Univ. of Colorado, Boulder, CO (United States)
Publication Date:
Research Org.:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1415876
Alternate Identifier(s):
OSTI ID: 1498985
Grant/Contract Number:  
SC0008132
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 1; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Romatschke, Paul. Relativistic Fluid Dynamics Far From Local Equilibrium. United States: N. p., 2018. Web. doi:10.1103/physrevlett.120.012301.
Romatschke, Paul. Relativistic Fluid Dynamics Far From Local Equilibrium. United States. doi:10.1103/physrevlett.120.012301.
Romatschke, Paul. Fri . "Relativistic Fluid Dynamics Far From Local Equilibrium". United States. doi:10.1103/physrevlett.120.012301.
@article{osti_1415876,
title = {Relativistic Fluid Dynamics Far From Local Equilibrium},
author = {Romatschke, Paul},
abstractNote = {Fluid dynamics is traditionally thought to apply only to systems near local equilibrium. In this case, the effective theory of fluid dynamics can be constructed as a gradient series. Recent applications of resurgence suggest that this gradient series diverges, but can be Borel resummed, giving rise to a hydrodynamic attractor solution which is well defined even for large gradients. As a result, arbitrary initial data quickly approaches this attractor via nonhydrodynamic mode decay. This suggests the existence of a new theory of far-from-equilibrium fluid dynamics. In this Letter, the framework of fluid dynamics far from local equilibrium for a conformal system is introduced, and the hydrodynamic attractor solutions for resummed Baier-Romatschke-Son-Starinets-Stephanov theory, kinetic theory in the relaxation time approximation, and strongly coupled N = 4 super Yang-Mills theory are identified for a system undergoing Bjorken flow.},
doi = {10.1103/physrevlett.120.012301},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 1,
volume = 120,
place = {United States},
year = {2018},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/physrevlett.120.012301

Citation Metrics:
Cited by: 26 works
Citation information provided by
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Figures / Tables:

Figure 1 Figure 1: Numerical results for energy density evolution as a function of inverse gradient strength τT for conformal Bjorken flow in three different microscopic theories. Note that for Boltzmann and AdS=CFT, the numerical solutions shown are low-dimensional projections from an infinite dimensional space of initial conditions. See text for details.

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    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.