Extensivity of Irreversible Current and Stability in Causal Dissipative Hydrodynamics

Details Extensivity of Irreversible Current and Stability in Causal Dissipative Hydrodynamics Extensivity of Irreversible Current and Stability in Causal Dissipative Hydrodynamics

2008-08-23

arxiv.org/abs/0808.3170v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 14 figures

Scientific paper

10.1088/0954-3899/36/3/035103

We extended our formulation of causal dissipative hydrodynamics [T. Koide \textit{et al.}, Phys. Rev. \textbf{C75}, 034909 (2007)] to be applicable to the ultra-relativistic regime by considering the extensiveness of irreversible currents. The new equation has a non-linear term which suppresses the effect of viscosity. We found that such a term is necessary to guarantee the positive definiteness of the inertia term and 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 same as that from the extended irreversible thermodynamics, but is different from the Israel-Stewart theory. A possible origin of the difference is discussed.

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