Stability and Causality in relativistic dissipative hydrodynamics
High Energy Physics - Phenomenology
2008-11-26 v1 Nuclear Theory
Fluid Dynamics
Abstract
The stability and causality of the Landau-Lifshitz theory and the Israel-Stewart type causal dissipative hydrodynamics are discussed. We show that the problem of acausality and instability are correlated in relativistic dissipative hydrodynamics and instability is induced by acausality. We further discuss the stability of the scaling solution. The scaling solution of the causal dissipative hydrodynamics can be unstable against inhomogeneous perturbations.
Cite
@article{arxiv.0807.3120,
title = {Stability and Causality in relativistic dissipative hydrodynamics},
author = {G. S. Denicol and T. Kodama and T. Koide and Ph. Mota},
journal= {arXiv preprint arXiv:0807.3120},
year = {2008}
}
Comments
16 pages, 18 figures