2008/08/31 by Gabriel S. Denicol, G. S. Denicol, T. Kodama +2 · 2 citations
Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Current (fluid) #Dissipative system #High-Energy Particle Collisions Research #Ideal (ethics) #Inertia #Instability #Mechanics #Nonlinear system #Physics #Positive definiteness #Positive-definite matrix #Quantum mechanics #Quantum, superfluid, helium dynamics #Stability (learning theory) #Statistical physics #Term (time) #Thermodynamics #Viscosity #Volume viscosity #cond-mat.stat-mech #hep-ph #nucl-th
paper · pdf · doi:10.1088/0954-3899/36/3/035103
18 pages, 14 figures
arxiv created 2009/01/26 · openalex publication_date 2009/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We extended our formulation of causal dissipative hydrodynamics (Koide et al 2007 Phys. Rev. C 75 034909) to be applicable to the ultra-relativistic regime by considering the extensiveness of irreversible currents. The new equation has a nonlinear term which suppresses the effect of viscosity. We found that such a term is essential to guarantee the positive definiteness of the inertia term and to stabilize numerical calculations in ultra-relativistic initial conditions. Because of the suppression of the viscosity, the behavior of the fluid is more close to that of the ideal fluid. Our result is essentially the same as that from the extended irreversible thermodynamics, but is different from the Israel–Stewart theory. A possible origin of the difference is discussed.