Relativistic transport theory for simple fluids to first order in the gradients

A. Sandoval-Villalbazo, A.L. Garcia-Perciante and L.S. Garcia-Colin

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 18, 3765-3770

Abstract: In this paper we show how using a relativistic kinetic equation the ensuing expression for the heat flux can be cast 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 “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.

Keywords: Relativistic Boltzmann equation; Linearized hydrodynamics; Fluctuations (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:18:p:3765-3770

DOI: 10.1016/j.physa.2009.06.001

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