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

2010/06/30 by I. Bouras, E. Molnar, E. Molnár +9 · 83 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Dynamics (music) #Gas Dynamics and Kinetic Theory #High-Energy Particle Collisions Research #Kinetic energy #Kinetic theory #Mathematical analysis #Mathematics #Mechanics #Physics #Riemann hypothesis #Riemann problem #Shock (circulatory) #Shock wave #Theoretical physics #hep-ph

paper · pdf · doi:10.1103/physrevc.82.024910

published in Physical Review C 82(2) (American Institute of Physics) · Version as published in PRC 82, 024910 (2010); 16 pages, 16 figures, typos corrected

openalex publication_date 2010/08/27 · arxiv created 2010/08/31 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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 \ensuremathη/s. We also find that a good agreement between these two approaches requires a Knudsen number Kn<1/2.

Citations

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• Dependence of elliptic flow on number of parton degrees of freedom
• Relativistic Shock Waves in Viscous Gluon Matter
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• Nonstationary irreversible thermodynamics: A causal relativistic theory
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions
• The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid

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