2008/05/31 by A. Sandoval-Villalbazo, A. L. García-Perciante, A. L. Garcia-Perciante +2
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Gas Dynamics and Kinetic Theory #High-Energy Particle Collisions Research #gr-qc #hep-ph
paper · pdf · doi:10.1016/j.physa.2009.06.001
published as Physica A 388, 3765-3770 (2009) · 9 pages. Accepted in Physica A
openalex publication_date 2009/06/10 · arxiv created 2009/06/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 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.