Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems

Details Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems

2007-09-23

arxiv.org/abs/0709.3645v2

Phys.Lett.B668:425-428,2008

Physics

Nuclear Physics

Nuclear Theory

4 pages, 3 figures

Scientific paper

10.1016/j.physletb.2008.07.109

We propose a stable first-order relativistic dissipative hydrodynamic equation in the particle frame (Eckart frame) for the first time. The equation to be proposed was in fact previously derived by the authors and a collaborator from the relativistic Boltzmann equation. We demonstrate that the equilibrium state is stable with respect to the time evolution described by our hydrodynamic equation in the particle frame. Our equation may be a proper starting point for constructing second-order causal relativistic hydrodynamics, to replace Eckart's particle-flow theory.

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