Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory

Details Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory

2010-06-02

arxiv.org/abs/1006.0387v3

Phys.Rev.C 82:024910,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Version as published in PRC 82, 024910 (2010); 16 pages, 16 figures, typos corrected

Scientific paper

10.1103/PhysRevC.82.024910

We solve the relativistic Riemann problem in viscous matter using the relativistic Boltzmann equation and the relativistic causal dissipative fluid-dynamical approach of Israel and Stewart. Comparisons between these two approaches clarify and point out the regime of validity of second-order fluid dynamics in relativistic shock phenomena. The transition from ideal to viscous shocks is demonstrated by varying the shear viscosity to entropy density ratio $\eta/s$. We also find that a good agreement between these two approaches requires a Knudsen number $Kn < 1/2$.

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