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

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.024910· OSTI ID:21432821

Bouras, I; El, A; Fochler, O; Greiner, C ^[1]; Molnar, E ^[2]; Niemi, H ^[2]; Xu, Z; Rischke, D H ^[1]

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1. Institut fuer Theoretische Physik, Johann Wolfgang Goethe-Universitaet, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main (Germany)
2. Frankfurt Institute for Advanced Studies, Ruth-Moufang-Strasse 1, D-60438 Frankfurt am Main (Germany)

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.

• OSTI ID: 21432821
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 82; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOLTZMANN EQUATION
COMPARATIVE EVALUATIONS
DENSITY
DIFFERENTIAL EQUATIONS
ENERGY RANGE
ENTROPY
EQUATIONS
EVALUATION
FLUID FLOW
FLUID MECHANICS
FUNCTIONS
GAS FLOW
INTEGRO-DIFFERENTIAL EQUATIONS
KINETIC EQUATIONS
KNUDSEN FLOW
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
RELATIVISTIC RANGE
RIEMANN FUNCTION
SHOCK WAVES
THERMODYNAMIC PROPERTIES
VISCOSITY