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Nonconformal viscous anisotropic hydrodynamics

Journal Article · · Physical Review C, Nuclear Physics
 [1];  [2];  [2]
  1. The Ohio State Univ., Columbus, OH (United States); The Ohio State University
  2. The Ohio State Univ., Columbus, OH (United States)
We generalize the derivation of viscous anisotropic hydrodynamics from kinetic theory to allow for nonzero particle masses. The macroscopic theory is obtained by taking moments of the Boltzmann equation after expanding the distribution function around a spheroidally deformed local momentum distribution whose form has been generalized by the addition of a scalar field that accounts nonperturbatively (i.e., already at leading order) for bulk viscous effects. Hydrodynamic equations for the parameters of the leading-order distribution function and for the residual (next-to-leading order) dissipative flows are obtained from the three lowest moments of the Boltzmann equation. The approach is tested for a system undergoing (0 + 1)-dimensional boost-invariant expansion for which the exact solution of the Boltzmann equation in the relaxation time approximation is known. Nonconformal viscous anisotropic hydrodynamics is shown to approximate this exact solution more accurately than any other known hydrodynamic approximation.
Research Organization:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
SC0004104; SC0004286
OSTI ID:
1604532
Alternate ID(s):
OSTI ID: 1183778
Journal Information:
Physical Review C, Nuclear Physics, Journal Name: Physical Review C, Nuclear Physics Journal Issue: 6 Vol. 91; ISSN 0556-2813; ISSN PRVCAN
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (12)

Collective flow and hydrodynamics in large and small systems at the LHC journal June 2017
New theories of relativistic hydrodynamics in the LHC era journal February 2018
Including off-diagonal anisotropies in anisotropic hydrodynamics journal July 2019
Anisotropic hydrodynamics with a scalar collisional kernel journal April 2018
Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields journal September 2016
Anisotropic nonequilibrium hydrodynamic attractor journal February 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
Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions journal August 2016
Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields text January 2016
Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow text January 2017
Including off-diagonal anisotropies in anisotropic hydrodynamics text January 2019

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