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Testing viscous and anisotropic hydrodynamics in an exactly solvable case

2013/05/31 by Wojciech Florkowski, Radoslaw Ryblewski, Michael Strickland · 1 citation
Physics and Astronomy · #nucl-th #hep-ph

paper · pdf · doi:10.1103/physrevc.88.024903

published as Phys. Rev. C 88, 024903 (2013) · 18 pages, 13 figures; v2 - published version

arxiv created 2013/08/07 · arxiv updated 2013/08/08

Abstract

We exactly solve the one-dimensional boost-invariant Boltzmann equation in the relaxation time approximation for arbitrary shear viscosity. The results are compared with the predictions of viscous and anisotropic hydrodynamics. Studying different non-equilibrium cases and comparing the exact kinetic-theory results to the second-order viscous hydrodynamics results we find that recent formulations of second-order viscous hydrodynamics agree better with the exact solution than the standard Israel-Stewart approach. Additionally, we find that, given the appropriate connection between the kinetic and anisotropic hydrodynamics relaxation times, anisotropic hydrodynamics provides a very good approximation to the exact relaxation time approximation solution.

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