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Title: Anisotropic fluid dynamics for Gubser flow

Abstract

Investigating a variety of closing schemes to the infinite hierarchy of momentum moments of the exactly solvable Boltzmann equation for systems undergoing Gubser flow, we study the precision with which the resulting hydrodynamic equations reproduce the exact evolution of hydrodynamic moments of the distribution function. We find that anisotropic hydrodynamics, obtained by expanding the distribution function around a dynamically evolving locally anisotropic background whose evolution is matched to exactly reproduce the macroscopic pressure anisotropy caused by the different longitudinal and transverse expansion rates in Gubser ow, provides the most accurate macroscopic description of the microscopic kinetic evolution. This confirms a similar earlier finding for Bjorken ow [Molnar, Niemi and Rischke, Phys. Rev. D 94, 125003 (2016)]. Also, we explain the physics behind this optimal matching procedure and show that one can efficiently correct for a nonoptimized matching choice by adding a residual shear stress to the energy-momentum tensor whose evolution is again determined by the Boltzmann equation. Further insights to guide the optimal choice of a macroscopic anisotropic hydrodynamic framework for strongly-coupled systems that do not admit a microscopic kinetic description are reported.

Authors:
 [1];  [2]; ORCiD logo [2]
  1. The Ohio State Univ., Columbus, OH (United States); North Carolina State Univ., Raleigh, NC (United States)
  2. The Ohio State Univ., Columbus, OH (United States)
Publication Date:
Research Org.:
The Ohio State Univ., Columbus, OH (United States); North Carolina State Univ., Raleigh, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Org.:
University of Sao Paulo
OSTI Identifier:
1604333
Alternate Identifier(s):
OSTI ID: 1357851
Grant/Contract Number:  
SC0004286; FG02-03ER41260
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; relativistic heavy-ion collisions; quark-gluon plasma; anisotropic hydrodynamics; Boltzmann equation; viscous fluid dynamics

Citation Formats

Martinez, M., McNelis, M., and Heinz, Ulrich. Anisotropic fluid dynamics for Gubser flow. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.95.054907.
Martinez, M., McNelis, M., & Heinz, Ulrich. Anisotropic fluid dynamics for Gubser flow. United States. https://doi.org/10.1103/PhysRevC.95.054907
Martinez, M., McNelis, M., and Heinz, Ulrich. Thu . "Anisotropic fluid dynamics for Gubser flow". United States. https://doi.org/10.1103/PhysRevC.95.054907. https://www.osti.gov/servlets/purl/1604333.
@article{osti_1604333,
title = {Anisotropic fluid dynamics for Gubser flow},
author = {Martinez, M. and McNelis, M. and Heinz, Ulrich},
abstractNote = {Investigating a variety of closing schemes to the infinite hierarchy of momentum moments of the exactly solvable Boltzmann equation for systems undergoing Gubser flow, we study the precision with which the resulting hydrodynamic equations reproduce the exact evolution of hydrodynamic moments of the distribution function. We find that anisotropic hydrodynamics, obtained by expanding the distribution function around a dynamically evolving locally anisotropic background whose evolution is matched to exactly reproduce the macroscopic pressure anisotropy caused by the different longitudinal and transverse expansion rates in Gubser ow, provides the most accurate macroscopic description of the microscopic kinetic evolution. This confirms a similar earlier finding for Bjorken ow [Molnar, Niemi and Rischke, Phys. Rev. D 94, 125003 (2016)]. Also, we explain the physics behind this optimal matching procedure and show that one can efficiently correct for a nonoptimized matching choice by adding a residual shear stress to the energy-momentum tensor whose evolution is again determined by the Boltzmann equation. Further insights to guide the optimal choice of a macroscopic anisotropic hydrodynamic framework for strongly-coupled systems that do not admit a microscopic kinetic description are reported.},
doi = {10.1103/PhysRevC.95.054907},
url = {https://www.osti.gov/biblio/1604333}, journal = {Physical Review C},
issn = {2469-9985},
number = 5,
volume = 95,
place = {United States},
year = {2017},
month = {5}
}

Journal Article:

Citation Metrics:
Cited by: 11 works
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Works referenced in this record:

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    Works referencing / citing this record:

    Including off-diagonal anisotropies in anisotropic hydrodynamics
    journal, July 2019


    Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
    journal, September 2019


    Bottomonium suppression using a lattice QCD vetted potential
    journal, January 2018


    Hyperbolic theory of relativistic conformal dissipative fluids
    journal, January 2018


    Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
    journal, February 2018


    Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow
    journal, June 2019