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

Manh Hong Duong

doi:10.1016/j.physa.2015.07.019

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

Manh Hong Duong

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	34-43
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	439
Early online date	18 Jul 2015
DOIs	https://doi.org/10.1016/j.physa.2015.07.019
Publication status	Published - 1 Dec 2015

Keywords

Non-equilibrium thermodynamics
GENERIC
Relativistic heat equation
Relativistic kinetic Fokker–Planck equation

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https://doi.org/10.1016/j.physa.2015.07.019Licence: None: All rights reserved

Cite this

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title = "Formulation of the relativistic heat equation and the relativistic kinetic Fokker-Planck equations using GENERIC",

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.",

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AU - Duong, Manh Hong

PY - 2015/12/1

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N2 - 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.

AB - 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.

KW - Non-equilibrium thermodynamics

KW - GENERIC

KW - Relativistic heat equation

KW - Relativistic kinetic Fokker–Planck equation

U2 - 10.1016/j.physa.2015.07.019

DO - 10.1016/j.physa.2015.07.019

M3 - Article

SN - 0378-4371

VL - 439

SP - 34

EP - 43

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

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

Abstract

Keywords

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