Viscous hydrodynamics for strongly anisotropic expansion

Abstract

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. By solving the vaHydro equations for a transversally homogeneous, longitudinally boost-invariant system ((0+1)-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.

arXiv comment4 pages, 1 figure. Talk presented at Quark Matter 2014, 19-24 May 2014, Darmstadt, Germany

References in corpus (11)

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Cited by in corpus (7)

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• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Initialization of hydrodynamics in relativistic heavy ion collisions with an energy-momentum transport model
• Transient oscillations in a macroscopic effective theory of the Boltzmann equation
• Femtoscopy scales and particle production in the relativistic heavy ion collisions from Au+Au at 200 AGeV to Xe+Xe at 5.44 ATeV within the integrated hydrokinetic model
• Thermal noise in non-boost-invariant dissipative hydrodynamics
• Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model