Integral Fluctuation Theorems for Stochastic Resetting Systems

Abstract

We study the stochastic thermodynamics of resetting systems. Violation of microreversibility means that the well known derivations of fluctuations theorems break down for dynamics with resetting. Despite that we show that stochastic resetting systems satisfy two integral fluctuation theorems. The first is the Hatano-Sasa relation describing the transition between two steady states. The second integral fluctuation theorem involves a functional that includes both dynamical and thermodynamic contributions. We find that the second law-like inequality found by Fuchs et al. for resetting systems [EPL, 113, (2016)] can be recovered from this integral fluctuation theorem with the help of Jensen's inequality.

14 pages, 4 figures

References in corpus (38)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The large deviation approach to statistical mechanics
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Fluctuation theorem for stochastic dynamics
• Diffusion with Stochastic Resetting
• Steady State Thermodynamics of Langevin Systems
• Intermittent search strategies
• Persistence and First-Passage Properties in Non-equilibrium Systems
• Diffusion with Optimal Resetting
• First Passage Under Restart
• Fluctuations and response of nonequilibrium states
• First order transition for the optimal search time of Lévy flights with resetting
• Optimal stochastic restart renders fluctuations in first passage times universal
• An Extension of the Fluctuation Theorem
• Diffusion under time-dependent resetting
• Diffusion in a potential landscape with stochastic resetting
• Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
• Diffusion with resetting in arbitrary spatial dimension
• Dynamical transition in the temporal relaxation of stochastic processes under resetting
• Diffusion with stochastic resetting at power-law times
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Integral fluctuation theorem for the housekeeping heat
• Non-equilibrium steady states of stochastic processes with intermittent resetting
• Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
• Stochastic thermodynamics of resetting
• Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
• Large deviations for Markov processes with resetting
• Effective thermodynamics for a marginal observer
• Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
• Statistical Properties of Functionals of the Paths of a Particle Diffusing in a One-Dimensional Random Potential
• Work fluctuations for a Brownian particle in a harmonic trap with fluctuating locations
• Work fluctuations for a Brownian particle driven by a correlated external random force
• Inflow rate, a time-symmetric observable obeying fluctuation relations
• Rate description of Fokker-Planck processes with time-periodic parameters
• An integral fluctuation theorem for systems with unidirectional transitions

Cited by in corpus (58)

• Stochastic Resetting and Applications
• Experimental realization of diffusion with stochastic resetting
• Run and tumble particle under resetting: a renewal approach
• First passage under stochastic resetting in an interval
• Stochastic resetting: A (very) brief review
• The inspection paradox in stochastic resetting
• Work fluctuations and Jarzynski equality in stochastic resetting
• Quantum dynamics with stochastic reset
• Péclet number governs transition to acceleratory restart in drift-diffusion
• Landau theory of restart transitions
• First passage under restart with branching
• Stochastic resetting with stochastic returns using external trap
• First passage under restart for discrete space and time: application to one dimensional confined lattice random walks
• Geometric Brownian Motion under Stochastic Resetting: A Stationary yet Non-ergodic Process
• Invariants of motion with stochastic resetting and space-time coupled returns
• Stochastic resetting in underdamped Brownian motion
• Thermodynamic uncertainty relation for systems with unidirectional transitions
• Extremal statistics for stochastic resetting systems
• Local time of diffusion with stochastic resetting
• Entropy production in systems with unidirectional transitions
• Random acceleration process under stochastic resetting
• Resetting with stochastic return through linear confining potential
• Thermodynamic uncertainty relation for first-passage times on Markov chains
• Effective fluctuation and response theory
• Mean-performance of sharp restart I: Statistical roadmap
• Random walks on complex networks with first-passage resetting
• Asymmetric Stochastic Resetting: Modeling Catastrophic Events
• Thermodynamic cost of finite-time stochastic resetting
• Work fluctuations for diffusion dynamics submitted to stochastic return
• Fick-Jacobs description and first passage dynamics for diffusion in a channel under stochastic resetting
• Non-equilibrium thermodynamics of diffusion in fluctuating potentials
• Tighter thermodynamic bound on speed limit in systems with unidirectional transitions
• Thermodynamics of computations with absolute irreversibility, unidirectional transitions, and stochastic computation times
• Random walks on complex networks under node-dependent stochastic resetting
• First passage of a diffusing particle under stochastic resetting in bounded domains with spherical symmetry
• Thermodynamic work of partial resetting
• Random walks on complex networks under time-dependent stochastic resetting
• First passage time and information of a one-dimensional Brownian particle with stochastic resetting to random positions
• First-passage functionals for Ornstein Uhlenbeck process with stochastic resetting
• Random walks on complex networks with multiple resetting nodes: a renewal approach
• Non-linear diffusion with stochastic resetting
• Effect of stochastic resetting on Brownian motion with stochastic diffusion coefficient
• Extremal statistics for a resetting Brownian motion before its first-passage time
• Branching processes with resetting as a model for cell division
• Entropy rate of random walks on complex networks under stochastic resetting
• Stochastic resetting with refractory periods: pathway formulation and exact results
• Optimal conditions for first passage of jump processes with resetting
• First passage in discrete-time absorbing Markov chains under stochastic resetting
• Designing Autonomous Maxwell Demon via Stochastic Resetting
• Thermodynamic cost of Brownian computers in the stochastic thermodynamics of resetting
• Isospin sum rules in charmed baryon weak decays
• Emerging cost-time Pareto front for diffusion with stochastic return
• Drift-diffusive resetting search process with stochastic returns: speed-up beyond optimal instantaneous return
• Autocorrelation functions and ergodicity in diffusion with stochastic resetting
• Fluctuation theorem for time-averaged work
• Arcsine laws for Brownian motion with Poissonian resetting
• Entropy production in a generalized breathing parabola model: exact path integral calculations
• Join gate with memory in token-conserving Brownian circuits and the thermodynamic cost