The fluctuation theorem for currents in semi-Markov processes

DOI10.1088/1742-5468/2008/11/P11007zbMath1456.82541MaRDI QIDQ5239446

David Andrieux, Pierre Gaspard

Publication date: 22 October 2019

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

zbMATH Keywords

current fluctuationsstochastic processes (theory)large deviations in non-equilibrium systemsfluctuations (theory)

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (10)

Microreversibility and driven Brownian motion with hydrodynamic long-time correlations ⋮ Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space ⋮ Revisiting classical and quantum disordered systems from the unifying perspective of large deviations ⋮ Effective bandwidth of non-Markovian packet traffic ⋮ Fluctuations in interacting particle systems with memory ⋮ Fluctuation theorems for discrete kinetic models of molecular motors ⋮ Large deviations at various levels for run-and-tumble processes with space-dependent velocities and space-dependent switching rates ⋮ The explicit form of the rate function for semi-Markov processes and its contractions ⋮ Active fluctuation symmetries ⋮ Large deviations for Markov processes with stochastic resetting: analysis via the empirical density and flows or via excursions between resets

Cites Work

• Unnamed Item
• Fluctuation theorem for currents and Schnakenberg network theory
• A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics
• On reversible semi-Markov processes
• Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems.
• Chaotic hypothesis, fluctuation theorem and singularities
• Probability of second law violations in shearing steady states
• Random Walks on Lattices. II
• On detailed balance and reversibility of semi-Markov processes and single-molecule enzyme kinetics
• Fluctuation theorem for stochastic dynamics
• Fluctuation theorems for non-linear generalized Langevin systems
• A fluctuation theorem for currents and non-linear response coefficients
• Fluctuation theorems for stochastic dynamics
• The Jarzynski relation, fluctuation theorems, and stochastic thermodynamics for non-Markovian processes

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