The large deviation principle and steady-state fluctuation theorem for the entropy production rate of a stochastic process in magnetic fields

DOI10.1063/1.4958978zbMath1348.82068arXiv1510.01898OpenAlexW3122331880MaRDI QIDQ3185707

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Publication date: 4 August 2016

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

Full work available at URL: https://arxiv.org/abs/1510.01898

zbMATH Keywords

complex-valued Ornstein-Uhlenbeck process

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (4)

Asymptotics of sample entropy production rate for stochastic differential equations ⋮ Complex Wiener-Itô chaos decomposition revisited ⋮ Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space ⋮ Large deviations of the entropy production rate for a class of Gaussian processes

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