Fluctuation relations for anomalous dynamics generated by time-fractional Fokker–Planck equations

DOI10.1088/1367-2630/17/7/075004zbMath1452.35239arXiv1507.04226OpenAlexW1537284365MaRDI QIDQ5144041

Peter-Simon Dieterich, Aleksei V. Chechkin, Rainer Klages

Publication date: 14 January 2021

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

Full work available at URL: https://arxiv.org/abs/1507.04226

zbMATH Keywords

stochastic processesFokker-Planck equationsanomalous diffusionfluctuation relationsstochastic thermodynamics

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (4)

Microreversibility and driven Brownian motion with hydrodynamic long-time correlations ⋮ On the Einstein-Smoluchowski relation in the framework of generalized statistical mechanics ⋮ On the fluctuation-dissipation relation in non-equilibrium and non-Hamiltonian systems ⋮ Feynman–Kac equation for anomalous processes with space- and time-dependent forces

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