Formulation of the relativistic heat equation and the relativistic kinetic Fokker-Planck equations using GENERIC
File(s)manuscript_Duong_Physica A_Revised 2.pdf (277.06 KB)
Accepted version
Author(s)
Duong, Manh Hong
Type
Journal Article
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.
Date Issued
2015-12-01
Date Acceptance
2015-07-01
Citation
Physica A. Statistical Mechanics and its Applications, 2015, 439, pp.34-43
ISSN
0378-4371
Publisher
Elsevier
Start Page
34
End Page
43
Journal / Book Title
Physica A. Statistical Mechanics and its Applications
Volume
439
Copyright Statement
© 2015 Elsevier B.V. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://doi.org/10.1016/j.physa.2015.07.019
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
Non-equilibrium thermodynamics
GENERIC
Relativistic heat equation
Relativistic kinetic Fokker-Planck equation
GAMMA-CONVERGENCE
COMPLEX FLUIDS
GRADIENT FLOWS
FORMALISM
THERMODYNAMICS
DIFFUSION
DYNAMICS
0105 Mathematical Physics
0206 Quantum Physics
Fluids & Plasmas
Notes
mrclass: 82C31 mrnumber: 3393579
Publication Status
Published
Date Publish Online
2015-07-18