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

Abstract

We consider an irreducible continuous time Markov chain on a finite state space and with time periodic jump rates and prove the joint large deviation principle for the empirical measure and flow and the joint large deviation principle for the empirical measure and current. By contraction we get the large deviation principle of three types of entropy production flow. We derive some Gallavotti-Cohen duality relations and discuss some applications.

37 pages. corrected version

References in corpus (13)

• Thermodynamic uncertainty relation for biomolecular processes
• Fluctuation theorems for stochastic dynamics
• Path-integral analysis of fluctuation theorems for general Langevin processes
• Fluctuation Relations for Diffusion Processes
• Steady state statistics of driven diffusions
• Directed flow in non-adiabatic stochastic pumps
• Pumping-Restriction Theorem for Stochastic Networks
• Mapping current fluctuations of stochastic pumps to nonequilibrium steady states
• Stochastic thermodynamics of periodically driven systems: Fluctuation theorem for currents and unification of two classes
• Supersymmetry and fluctuation relations for currents in closed networks
• Langevin dynamics with space-time periodic nonequilibrium forcing
• Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle
• From level 2.5 to level 2 large deviations for continuous time Markov chains

Cited by in corpus (15)

• Unravelling the large deviation statistics of Markovian open quantum systems
• Ergodicity and large deviations in physical systems with stochastic dynamics
• Bounds on current fluctuations in periodically driven systems
• A generalization of the thermodynamic uncertainty relation to periodically driven systems
• Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton
• Large deviations at level 2.5 for Markovian open quantum systems: quantum jumps and quantum state diffusion
• A unifying picture of generalized thermodynamic uncertainty relations
• Periodically driven jump processes conditioned on large deviations
• 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
• Current fluctuations in nonequilibrium discontinuous phase transitions
• Dynamical Phase Transitions for Flows on Finite Graphs
• A large deviation principle for Markovian slow-fast systems
• The large-time and vanishing-noise limits for entropy production in nondegenerate diffusions
• Time-periodic behaviour in one- and two-dimensional interacting particle systems