Phase transitions in large deviations of reset processes

Abstract

We study the large deviations of additive quantities, such as energy or current, in stochastic processes with intermittent reset. Via a mapping from a discrete-time reset process to the Poland-Scheraga model for DNA denaturation, we derive conditions for observing first-order or continuous dynamical phase transitions in the fluctuations of such quantities and confirm these conditions on simple random walk examples. These results apply to reset Markov processes, but also show more generally that subleading terms in generating functions can lead to non-analyticities in large deviation functions of 'compound processes' or 'random evolutions' switching stochastically between two or more subprocesses.

8 pages, 6 figures

References in corpus (17)

• The large deviation approach to statistical mechanics
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Diffusion with Stochastic Resetting
• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Diffusion with Optimal Resetting
• First order transition for the optimal search time of Lévy flights with resetting
• Why is the DNA Denaturation Transition First Order?
• Diffusion under time-dependent resetting
• Dynamical transition in the temporal relaxation of stochastic processes under resetting
• Diffusion with stochastic resetting at power-law times
• Non-equilibrium steady states of stochastic processes with intermittent resetting
• Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics
• Large deviations for Markov processes with resetting
• Poland-Scheraga models and the DNA denaturation transition
• Large deviation approach to nonequilibrium systems
• A double-ended queue with catastrophes and repairs, and a jump-diffusion approximation
• Current fluctuations in stochastic systems with long-range memory

Cited by in corpus (41)

• Stochastic Resetting and Applications
• Run and tumble particle under resetting: a renewal approach
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Quantum dynamics with stochastic reset
• Non-renewal resetting of scaled Brownian motion
• Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
• Spectral properties of simple classical and quantum reset processes
• Properties of additive functionals of Brownian motion with resetting
• Spectral content of fractional Brownian motion with stochastic reset
• Dynamical phase transition in drifted Brownian motion
• Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit
• Diffusion with Resetting Inside a Circle
• Building continuous time crystals from rare events
• Controlling particle currents with evaporation and resetting from an interval
• Large deviations for Markov processes with stochastic resetting : analysis via the empirical density and flows or via excursions between resets
• Condensation transition in large deviations of self-similar Gaussian processes with stochastic resetting
• Current fluctuations in stochastically resetting particle systems
• Thermodynamic uncertainty for run-and-tumble type processes
• A large deviation perspective on ratio observables in reset processes: robustness of rate functions
• Coupled activity-current fluctuations in open quantum systems under strong symmetries
• Large Deviations in Renewal Models of Statistical Mechanics
• Stochastic gene expression conditioned on large deviations
• Dynamical criticality in open systems: non-perturbative physics, microscopic origin and direct observation
• Dynamical phase transition to localized states in the two-dimensional random walk conditioned on partial currents
• Lattice paths with catastrophes
• Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systems
• Stochastic resetting with refractory periods: pathway formulation and exact results
• Thermodynamic phases in first detected return times of quantum many-body systems
• Statistical fluctuations under resetting: rigorous results
• Current fluctuations in a stochastic system of classical particles with next-nearest-neighbor interactions
• Unified approach to reset processes and application to coupling between process and reset
• First-Passage-Time Asymmetry for Biased Run-and-Tumble Processes
• Understanding random-walk dynamical phase coexistence through waiting times
• An exactly solvable predator prey model with resetting
• Semi-Markovian Dynamics of a Self-Propelled Particle in a Confined Environment: A Large-Deviation Study
• Towards neural reinforcement learning for large deviations in nonequilibrium systems with memory
• Current statistics and depinning transition for a one-dimensional Langevin process in the weak-noise limit
• Density-dependent stochastic resetting: a large deviations framework for achieving target distributions over networks
• Large Deviations in Renewal Theory and Renewal Models of Statistical Mechanics
• Dimensionality-induced dynamical phase transition in the large deviation of local time density for Brownian motion
• Thermodynamics of quantum-jump trajectories of open quantum systems subject to stochastic resetting