Transverse flow in relativistic viscous hydrodynamics

Abstract

Hydrodynamic model simulations of Au-Au collisions at RHIC have indicated recently, that with improved simulations in the coming years, it may be feasible to quantify the viscosity of the matter produced in heavy ion collisions. To this end, a consistent fluid dynamic description of viscous effects is clearly needed. In this note, we observe that a recently used, approximate form of the 2nd order Israel-Stewart viscous hydrodynamic equations of motion cannot account consistently for the transverse flow fields, which are expected to develop in heavy ion collisions. We identify the appropriate equations of motion.

5 pages, uses REVTEX4

References in corpus (7)

• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
• Hydrodynamics at RHIC -- how well does it work, where and how does it break down?
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• Generating new solutions for relativistic transverse flow at the softest point
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• The Bulk Viscosity of High-Temperature QCD
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• Effect of bulk viscosity on Elliptic Flow near QCD phase transition
• The applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions
• Causal Viscous Hydrodynamics for Central Heavy-Ion Collisions
• Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
• Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids I. General Aspects and 3+1 Formulation for Nuclear Collisions
• How much entropy is produced in strongly coupled Quark-Gluon Plasma (sQGP) by dissipative effects?
• Hydrodynamics and Flow
• Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems
• Viscous evolution of the rapidity distribution of matter created in relativistic heavy-ion collisions
• Relativistic Causal Hydrodynamics Derived from Boltzmann Equation: a novel reduction theoretical approach
• Derivation of second-order relativistic hydrodynamics for reactive multi-component systems
• Aspects of causal viscous hydrodynamics