The Jarzynski relation, fluctuation theorems, and stochastic thermodynamics for non-Markovian processes

DOI10.1088/1742-5468/2007/09/L09002zbMath1456.82571arXiv0709.2236OpenAlexW2008227507WikidataQ59459982 ScholiaQ59459982MaRDI QIDQ5239404

Udo Seifert, Thomas Speck

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2236

zbMATH Keywords

stochastic processes (theory)nonequilibrium fluctuations in small systems

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) General theory of stochastic processes (60G07) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (9)

Fluctuations in heat engines ⋮ Microreversibility and driven Brownian motion with hydrodynamic long-time correlations ⋮ Explicit solution of the generalised Langevin equation ⋮ Fluctuations when driving between nonequilibrium steady states ⋮ Fluctuation relations for anomalous dynamics generated by time-fractional Fokker–Planck equations ⋮ Entropy anomaly in Langevin-Kramers dynamics with a temperature gradient, matrix drag, and magnetic field ⋮ Jarzynski equality for conditional stochastic work ⋮ Resolving a puzzle concerning fluctuation theorems for forced harmonic oscillators in non-Markovian heat baths ⋮ The fluctuation theorem for currents in semi-Markov processes

Cites Work

• A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics
• Statistical physics II. Nonequilibrium statistical mechanics.
• Probability of second law violations in shearing steady states
• Fluctuation theorem for stochastic dynamics

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