Newtonian limit and trend to equilibrium for the relativistic Fokker-Planck equation

DOI10.1063/1.4793991zbMath1288.82048arXiv1107.5140OpenAlexW1963641576MaRDI QIDQ5397756

Simone Calogero, José Antonio Alcántara Felix

Publication date: 24 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5140

zbMATH Keywords

Fokker-Planck equationrelativistic casenonrelativistic caseglobal thermodynamical equation

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Special relativity (83A05) PDEs in connection with relativity and gravitational theory (35Q75) Fokker-Planck equations (35Q84)

Related Items (2)

Formulation of the relativistic heat equation and the relativistic kinetic Fokker-Planck equations using GENERIC ⋮ On the Cauchy problem for the relativistic Vlasov-Poisson-Fokker-Planck system

Cites Work

• On a relativistic Fokker-Planck equation in kinetic theory
• Existence of the spectral gap for elliptic operators
• The Fokker-Planck equation. Methods of solutions and applications.
• Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré
• Trends to equilibrium for a class of relativistic diffusions
• Unnamed Item

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