Formulation of the relativistic heat equation and the relativistic kinetic Fokker–Planck equations using GENERIC

Manh Hong Duong

Physica A: Statistical Mechanics and its Applications, 2015, vol. 439, issue C, 34-43

Abstract: In this paper, we formulate the relativistic heat equation and the relativistic kinetic Fokker–Planck equations into the GENERIC (General Equation for Non-Equilibrium Reversible–Irreversible Coupling) framework. We also show that the relativistic Maxwellian distribution is the stationary solution of the latter. The GENERIC formulation provides an alternative justification that the two equations are meaningful relativistic generalizations of their non-relativistic counterparts.

Keywords: Non-equilibrium thermodynamics; GENERIC; Relativistic heat equation; Relativistic kinetic Fokker–Planck equation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:439:y:2015:i:c:p:34-43

DOI: 10.1016/j.physa.2015.07.019

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