Causal relativistic hydrodynamics for viscous fluids

Abstract

We report on recent results from VISH2+1, a code that solves the relativistic Israel-Stewart equations for causal viscous hydrodynamics for heavy-ion collisions with longitudinal boost invariance. We find that even ``minimal'' shear viscosity eta/s=hbar/(4pi) leads to a large reduction of elliptic flow compared to ideal fluid dynamics. We explore systematically the sensitivity of this reduction to the equation of state, system size, initial conditions, and the microscopic relaxation time in different formulations of the Israel-Stewart equations.

4 pages, 1 figure. Contribution to the Proceedings for Quark Matter 2008, Jaipur, India, Feb. 3-10, 2008, to appear in a special issue of J. Phys. G. Version 2: CERN preprint number corrected and Fig. 1 (right panel) recalculated using full Israel-Stewart equations (see text)

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• Kaon and pion femtoscopy at the highest energies available at the BNL Relativistic Heavy Ion Collider (RHIC) in a hydrokinetic model
• The Fate of the Initial State Perturbations in Heavy Ion Collisions
• Relativistic transport theory for simple fluids at first order in the gradients: a stable picture
• Viscous hydrodynamics with bulk viscosity -- uncertainties from relaxation time and initial conditions
• Non-universal lower bound for the shear viscosity to entropy density ratio
• Generic stability of dissipative non-relativistic and relativistic fluids
• Pion transverse-momentum spectrum and elliptic anisotropy of partially coherent source
• Stability of 1+1 dimensional causal relativistic viscous hydrodynamics
• Memory Effects and Transport Coefficients for Non-Newtonian Fluids