Extraction of shear viscosity in stationary states of relativistic particle systems

Abstract

Starting from a classical picture of shear viscosity we construct a stationary velocity gradient in a microscopic parton cascade. Employing the Navier-Stokes ansatz we extract the shear viscosity coefficient $\eta$. For elastic isotropic scatterings we find an excellent agreement with the analytic values. This confirms the applicability of this method. Furthermore for both elastic and inelastic scatterings with pQCD based cross sections we extract the shear viscosity coefficient $\eta$ for a pure gluonic system and find a good agreement with already published calculations.

17 pages, 7 figures

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Cited by in corpus (12)

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• Electric conductivity of the quark-gluon plasma investigated using a perturbative QCD based parton cascade
• Calculation of shear viscosity using Green-Kubo relations within a parton cascade
• Investigation of Heat Conductivity in Relativistic Systems using a Partonic Cascade
• EMMI Rapid Reaction Task Force on "Thermalization in Non-abelian Plasmas"
• Nonequilibrium photon production in partonic transport simulations
• Electric Conductivity of a hot hadron gas from a kinetic approach
• Diffusion matrix associated with the diffusion processes of multiple conserved charges in a hot and dense hadronic matter
• Green-Kubo formula for Boltzmann and Fermi-Dirac statistics
• Shear viscosity of an ultrarelativistic Boltzmann gas with isotropic inelastic scattering processes
• The Shear Viscosity to Entropy Density Ratio of Hagedorn States
• Dissipative hydrodynamics for multi-component systems