Stability of ()-dimensional causal relativistic viscous hydrodynamics

2010/06/17 by J. W. Li, James Weiquan Li, Y. G. Ma +3 · 1 citation
Physics and Astronomy · #Classical mechanics #Computer science #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #Mechanics #Particle physics theoretical and experimental studies #Physics #Stability (learning theory) #Statistical physics #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2010.06.004

published in Nuclear Physics A 846(1-4), 95-103 (Elsevier BV) · 18 pages, 4 figures, 1 table; to be published in Nuclear Physics A

arxiv created 2010/06/17 · openalex publication_date 2010/06/20 · arxiv updated 2014/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The stability of the 1+1 dimensional solution of Israel-Stewart theory is investigated. Firstly, the evolution of the temperature and the ratio of the bulk pressure over the equilibrium pressure of the background is explored. Then the stability with linear perturbations is studied by using the Lyapunov direct method. It shows that the shear viscosity may weaken the instability induced by the large peak of bulk viscosity around the phase transition temperature T_c.

Citations

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