Relativistic transport theory for simple fluids at first order in the gradients: a stable picture

Details Relativistic transport theory for simple fluids at first order in the gradients: a stable picture Relativistic transport theory for simple fluids at first order in the gradients: a stable picture

2008-05-27

arxiv.org/abs/0805.4237v2

Physica A 388, 3765-3770 (2009)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages. Accepted in Physica A

Scientific paper

10.1016/j.physa.2009.06.001

In this paper we show how using a relativistic kinetic equation the ensuing expression for the heat flux can be casted in the form required by Classical Irreversible Thermodynamics. Indeed, it is linearly related to the temperature and number density gradients and not to the acceleration as the so called \textit{first order in the gradients} theories propose. Since the specific expressions for the transport coefficients are irrelevant for our purposes, the BGK form of the kinetic equation is used. Moreover, from the resulting hydrodynamic equations it is readily seen that the equilibrium state is stable in the presence of the spontaneous fluctuations in the transverse hydrodynamic velocity mode of the simple relativistic fluid. The implications of this result are thoroughly discussed.

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