Determining Transport Coefficients for a Microscopic Simulation of a Hadron Gas

Abstract

Quark-Gluon plasmas produced in relativistic heavy-ion collisions quickly expand and cool, entering a phase consisting of multiple interacting hadronic resonances just below the QCD deconfinement temperature, $T\sim 155$ MeV. Numerical microscopic simulations have emerged as the principal method for modeling the behavior of the hadronic stage of heavy-ion collisions, but the transport properties that characterize these simulations are not well understood. Methods are presented here for extracting the shear viscosity, and two transport parameters that emerge in Israel-Stewart hydrodynamics. The analysis is based on studying how the stress-energy tensor responds to velocity gradients. Results agree with expectations based on Kubo relations.

arXiv comment9 pages, 5 figures

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• In-medium effect on the thermodynamics and transport coefficients in van der Waals hadron resonance gas
• Systematic errors in transport calculations of shear viscosity using the Green-Kubo formalism