Level 2.5 large deviations for continuous-time Markov chains with time periodic rates

DOI10.1007/s00023-018-0705-3zbMath1400.82126arXiv1710.08001OpenAlexW2766751306WikidataQ129477267 ScholiaQ129477267MaRDI QIDQ1991521

Davide Gabrielli, Alessandra Faggionato, Lorenzo Bertini, Raphaël Chetrite

Publication date: 30 October 2018

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08001

zbMATH Keywords

large deviation principlecontinuous-time Markov chainGallavotti-Cohen duality relationsperiodic jump rates

Mathematics Subject Classification ID

Related Items (12)

Dynamical phase transitions for flows on finite graphs ⋮ A formal view on level 2.5 large deviations and fluctuation relations ⋮ Ergodicity and large deviations in physical systems with stochastic dynamics ⋮ A unifying picture of generalized thermodynamic uncertainty relations ⋮ Periodically driven jump processes conditioned on large deviations ⋮ Large Deviations and Uncertainty Relations in Periodically Driven Markov Chains ⋮ Interplay of analysis and probability in applied mathematics. Abstracts from the workshop held February 11--17, 2018 ⋮ Flux large deviations of weakly interacting jump processes via well-posedness of an associated Hamilton-Jacobi equation ⋮ Large deviations at level 2.5 for Markovian open quantum systems: quantum jumps and quantum state diffusion ⋮ A generalization of the thermodynamic uncertainty relation to periodically driven systems ⋮ Large deviations for dynamical fluctuations of open Markov processes, with application to random cascades on trees ⋮ Statistical physics of long dynamical trajectories for a system in contact with several thermal reservoirs

Cites Work

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• Large deviations of the empirical flow for continuous time Markov chains
• Stochastic energetics
• A formal view on level 2.5 large deviations and fluctuation relations
• Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle
• Large deviation for stochastic line integrals as \(L^{p}\)-currents
• Functional analysis, Sobolev spaces and partial differential equations
• Non-equilibrium thermodynamics and topology of currents
• Non-equilibrium thermodynamics of piecewise deterministic Markov processes
• Nonequilibrium measurements of free energy differences for microscopically reversible Markovian systems
• Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
• The fluctuation theorem as a Gibbs property
• Large deviation principle for Markov chains in continuous time
• Macroscopic fluctuation theory for stationary nonequilibrium states
• Canonical structure and orthogonality of forces and currents in irreversible Markov chains
• Flows, currents, and cycles for Markov chains: large deviation asymptotics
• Langevin dynamics with space-time periodic nonequilibrium forcing
• Estimating discontinuous periodic signals in a time inhomogeneous diffusion
• Fluctuation relations for diffusion processes
• Affinity- and topology-dependent bound on current fluctuations
• From level 2.5 to level 2 large deviations for continuous time Markov chains
• Dynamical fluctuations for periodically driven diffusions
• Linear stochastic thermodynamics for periodically driven systems
• The physicist's companion to current fluctuations: one-dimensional bulk-driven lattice gases
• Asymptotic evaluation of certain markov process expectations for large time. IV
• Asymptotic evaluation of certain markov process expectations for large time, I
• Asymptotic evaluation of certain markov process expectations for large time, II
• Asymptotic evaluation of certain Markov process expectations for large time—III
• Markov Chains
• Relative entropy between Markov transition rate matrices
• A Γ-convergence approach to large deviations
• Linear irreversible heat engines based on local equilibrium assumptions
• Path-integral analysis of fluctuation theorems for general Langevin processes
• Fluctuation theorems for stochastic dynamics
• Inferring dissipation from current fluctuations
• Reversibility and entropy production of inhomogeneous Markov chains
• Brownian Motion
• Brownian motors: noisy transport far from equilibrium

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