Relativistic dissipative hydrodynamics: A minimal causal theory

2006/09/30 by T. Koide, Gabriel S. Denicol, G. S. Denicol +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #cond-mat.stat-mech #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.75.034909

published as Phys.Rev.C75:034909,2007 · 25 pages, 2 figures, Phys. Rev. C in press

arxiv created 2007/03/22 · openalex publication_date 2007/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look for the minimal structure of such a theory which satisfies the covariance and causality by introducing the memory effect in irreversible currents. Our theory has a much simpler structure and thus has several advantages for practical purposes compared to the Israel-Stewart theory (IS). It can readily be applied to the full three-dimensional hydrodynamical calculations. We apply our formalism to the Bjorken model and the results are shown to be analogous to the IS.

Citations

• Smoothed particle hydrodynamics for relativistic heavy-ion collisions
• Nonstationary irreversible thermodynamics: A causal relativistic theory
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid

Cited by

• Divergence-type nonlinear conformal hydrodynamics
• Relativistic transport theory for simple fluids to first order in the gradients