Relativistic Shock Waves and Mach Cones in Viscous Gluon Matter

Abstract

To investigate the formation and the propagation of relativistic shock waves in viscous gluon matter we solve the relativistic Riemann problem using a microscopic parton cascade. We demonstrate the transition from ideal to viscous shock waves by varying the shear viscosity to entropy density ratio $\eta /s$. Furthermore we compare our results with those obtained by solving the relativistic causal dissipative fluid equations of Israel and Stewart (IS), in order to show the validity of the IS hydrodynamics. Employing the parton cascade we also investigate the formation of Mach shocks induced by a high-energy gluon traversing viscous gluon matter. For $\eta /s=0.08$ a Mach cone structure is observed, whereas the signal smears out for $\eta /s\ge 0.32$.

6 pages, 4 figures; To appear in the proceedings of the 26th Winter Workshop on Nuclear Dynamics (2010).

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Cited by in corpus (10)

• Hydrodynamic Approaches in Relativistic Heavy Ion Reactions
• Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
• Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory
• Transition From Ideal To Viscous Mach Cones In A Kinetic Transport Approach
• Mach cones in viscous heavy-ion collisions
• A hydrodynamic approach to boost invariant free streaming
• Shock waves in strongly coupled plasmas II
• Dissipative hydrodynamics of relativistic shock waves in a Quark Gluon Plasma: comparing and benchmarking alternate numerical methods
• Bjorken flow revisited: analytic and numerical solutions in flat space-time coordinates
• RHIC and LHC phenomena with an unified parton transport