Formulation of the relativistic heat equation and the relativistic kinetic Fokker-Planck equation using GENERIC
arXiv:1501.00309 · doi:10.1016/j.physa.2015.07.019
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 nonrelativistic counterparts.
20 pages, revised
References in corpus (6)
- Relativistic Brownian Motion
- GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles
- Large deviations and gradient flows
- Relativistic diffusion
- Nonequilibrium Thermodynamics of the Soft Glassy Rheology Model
- Non-equilibrium thermodynamics of damped Timoshenko and damped Bresse systems