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Viscous hydrodynamics for strongly anisotropic expansion

Journal Article · · Nuclear Physics. A
 [1];  [2];  [3]
  1. The Ohio State Univ., Columbus, OH (United States); The Ohio State University
  2. The Ohio State Univ., Columbus, OH (United States)
  3. Kent State Univ., Kent, OH (United States)
A new formulation of second-order viscous hydrodynamics, based on an expansion around a locally anisotropic momentum distribution, is presented. It generalizes the previously developed formalism of anisotropic hydrodynamics (aHydro) to include a complete set of dissipative currents for which equations of motion are derived by solving the Boltzmann equation in the 14-moment approximation. Finally, by solving the vaHydro equations for a transversally homogeneous, longitudinally boost-invariant system (-dimensional expansion) and comparing with the exact solution of the Boltzmann equation in relaxation-time approximation we show that vaHydro performs much better than all other known second-order viscous hydrodynamic approximations.
Research Organization:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
SC0004104; SC0004286
OSTI ID:
1604539
Alternate ID(s):
OSTI ID: 22401884
OSTI ID: 1556718
Journal Information:
Nuclear Physics. A, Journal Name: Nuclear Physics. A Journal Issue: C Vol. 931; ISSN 0375-9474
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (11)

Transient relativistic thermodynamics and kinetic theory journal April 1979
Dissipative dynamics of highly anisotropic systems journal December 2010
Highly anisotropic and strongly dissipative hydrodynamics for early stages of relativistic heavy-ion collisions journal March 2011
Boost-invariant (2+1)-dimensional anisotropic hydrodynamics journal June 2012
Relativistic third-order dissipative fluid dynamics from kinetic theory journal August 2013
Testing viscous and anisotropic hydrodynamics in an exactly solvable case journal August 2013
Projection method and new formulation of leading-order anisotropic hydrodynamics journal March 2014
Leading-order anisotropic hydrodynamics for systems with massive particles journal May 2014
Derivation of transient relativistic fluid dynamics from the Boltzmann equation journal June 2012
Highly anisotropic and strongly dissipative hydrodynamics with transverse expansion journal November 2011
Hydrodynamic Modeling of Heavy-Ion Collisions journal April 2013

Cited By (2)

Relativistic second order dissipative hydrodynamics from an effective fugacity quasiparticle model journal July 2019
Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation journal June 2016

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