Development of relativistic shock waves 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 $\eta /s$. We show that an $\eta /s$ ratio larger than 0.2 prevents the development of well-defined shock waves on time scales typical for ultrarelativistic heavy-ion collisions. These findings are confirmed by viscous hydrodynamic calculations.

4 pages, 3 figures - To appear in the conference proceedings for Quark Matter 2009, March 30 - April 4, Knoxville, Tennessee

References in corpus (7)

• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• Perturbative QCD Calculations of Elliptic Flow and Shear Viscosity in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV
• Shear Viscosity in a Gluon Gas
• The applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions
• Elliptic flow of gluon matter in ultrarelativistic heavy-ion collisions
• Extraction of jet topology using three particle correlations
• Comparing the first and second order theories of relativistic dissipative fluid dynamics using the 1+1 dimensional relativistic flux corrected transport algorithm

Cited by in corpus (18)

• Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
• On the relative importance of second-order terms in relativistic dissipative fluid dynamics
• Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory
• Divergence-type 2+1 dissipative hydrodynamics applied to heavy-ion collisions
• Transition From Ideal To Viscous Mach Cones In A Kinetic Transport Approach
• General-relativistic hydrodynamics of non-perfect fluids: 3+1 conservative formulation and application to viscous black-hole accretion
• A Fast Numerical Scheme for Causal Relativistic Hydrodynamics with Dissipation
• Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory
• High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases
• Study of transport coefficients in ultrarelativistic kinetic theory
• Dissipative hydrodynamics of relativistic shock waves in a Quark Gluon Plasma: comparing and benchmarking alternate numerical methods
• Recent developments in mathematical aspects of relativistic fluids
• Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas
• A relativistic dissipative hydrodynamic description for systems including particle number changing processes
• Thermal photon production in Au+Au collisions: viscous corrections in two different hydrodynamic formalisms
• Relativistic fluid dynamics in heavy ion collisions
• Mach Cones in Viscous Matter
• Bjorken flow revisited: analytic and numerical solutions in flat space-time coordinates