Shear viscosity coefficient and relaxation time of causal dissipative hydrodynamics in QCD.

Evaluation of causal shear viscosity and relaxation time in QCD

where the first (second) equation represents energymomentum (the number) conservation, and dissipative effects such as viscosities are completely neglected (the above set of equations is exact, but for the ideal hydrodynamics all the higher expansion parameters, transport coefficients, in T μν and N are set to zero). Even though the ideal hydrodynamic simulations nicely coincides with experimen...

Generalized Variational Principle for Dissipative Hydrodynamics: Shear Viscosity from Angular Momentum Relaxation in the Hydrodynamical Description of Continuum Mechanics

J un 2 00 8 Causal relativistic hydrodynamics for viscous fluids ‡

We report on recent results from VISH2+1, a code that solves the relativistic Israel-Stewart equations for causal viscous hydrodynamics for heavyion collisions with longitudinal boost invariance. We find that even “minimal” shear viscosity η/s = ~/(4π) leads to a large reduction of elliptic flow compared to ideal fluid dynamics. We explore systematically the sensitivity of this reduction to the...

un 2 00 8 Causal relativistic hydrodynamics for viscous fluids ‡

We report on recent results from VISH2+1, a code that solves the relativistic Israel-Stewart equations for causal viscous hydrodynamics for heavyion collisions with longitudinal boost invariance. We find that even “minimal” shear viscosity η/s = ~/(4π) leads to a large reduction of elliptic flow compared to ideal fluid dynamics. We explore systematically the sensitivity of this reduction to the...

Numerical tests of causal relativistic dissipative fluid dynamics

We present numerical methods to solve the Israel– Stewart (IS) equations of causal relativistic dissipative fluid dynamics with bulk and shear viscosities. We then test these methods studying the Riemann problem in (1+ 1)and (2+ 1)-dimensional geometry. The numerical schemes investigated here are applicable to realistic (3 + 1)-dimensional modeling of a relativistic dissipative fluid. PACS 24.1...