Stability and Causality in relativistic dissipative hydrodynamics

Details Stability and Causality in relativistic dissipative hydrodynamics Stability and Causality in relativistic dissipative hydrodynamics

2008-07-19

arxiv.org/abs/0807.3120v1

J.Phys.G35:115102,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 18 figures

Scientific paper

10.1088/0954-3899/35/11/115102

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.

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