First passage under stochastic resetting in an interval

Abstract

We consider a Brownian particle diffusing in a one dimensional interval with absorbing end points. We study the ramifications when such motion is interrupted and restarted from the same initial configuration. We provide a comprehensive study of the first passage properties of this trapping phenomena. We compute the mean first passage time and derive the criterion upon which restart always expedites the underlying completion. We show how this set-up is a manifestation of a success-failure problem. We obtain the success and failure rates and relate them with the splitting probabilities, namely, the probability that the particle will eventually be trapped on either of the boundaries without hitting the other one. Numerical studies are presented to support our analytic results.

12 pages, 8 figures

References in corpus (41)

• Diffusion with Stochastic Resetting
• Intermittent search strategies
• Persistence and First-Passage Properties in Non-equilibrium Systems
• Diffusion with Optimal Resetting
• First Passage Under Restart
• First order transition for the optimal search time of Lévy flights with resetting
• Optimal stochastic restart renders fluctuations in first passage times universal
• Diffusion under time-dependent resetting
• Run and tumble particle under resetting: a renewal approach
• Diffusion in a potential landscape with stochastic resetting
• Diffusion with resetting in arbitrary spatial dimension
• Stochastic resetting in backtrack recovery by RNA polymerases
• 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
• Fluctuating interfaces subject to stochastic resetting
• The Michaelis-Menten reaction scheme as a unified approach towards the optimal restart problem
• Optimal first arrival times in Lévy flights with resetting
• Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics
• Stochastic thermodynamics of resetting
• Stochastic Search with Poisson and Deterministic Resetting
• Monotonous continuous-time random walks with drift and stochastic reset events
• Large deviations for Markov processes with resetting
• Restart could optimize the probability of success in a Bernoulli trial
• Effects of refractory period on stochastic resetting
• Quantum dynamics with stochastic reset
• Statistical mechanics of the coagulation-diffusion process with a stochastic reset
• Single-molecule theory of enzymatic inhibition predicts the emergence of inhibitor-activator duality
• First passage under restart with branching
• Random walk with random resetting to the maximum
• Localization transition induced by learning in random searches
• Integral Fluctuation Theorems for Stochastic Resetting Systems
• Phase transitions in optimal search times: how random walkers should combine resetting and flight scales
• Transport properties and first arrival statistics of random searches with stochastic reset times
• Spectral properties of simple classical and quantum reset processes
• Long time scaling behaviour for diffusion with resetting and memory
• Continuous-time random walks with reset events: Historical background and new perspectives
• Interacting Brownian Motion with Resetting
• Stochastic processes subject to a reset-and-residence mechanism: transport properties and first arrival statistics
• Diffusion with Resetting Inside a Circle
• Comparison of two models of tethered motion

Cited by in corpus (91)

• Stochastic Resetting and Applications
• Experimental realization of diffusion with stochastic resetting
• Optimal mean first-passage time for a Brownian searcher subjected to resetting: experimental and theoretical results
• Stochastic resetting: A (very) brief review
• Search with home returns provides advantage under high uncertainty
• The inspection paradox in stochastic resetting
• Work fluctuations and Jarzynski equality in stochastic resetting
• Péclet number governs transition to acceleratory restart in drift-diffusion
• Diffusion with resetting in a logarithmic potential
• Landau theory of restart transitions
• Random walks on networks with stochastic resetting
• Symmetric Exclusion Process under Stochastic Resetting
• Non-renewal resetting of scaled Brownian motion
• Diffusion with stochastic resetting is invariant to return speed
• Stochastic resetting with stochastic returns using external trap
• Run-and-Tumble particles in Two-dimensions under Stochastic Resetting
• 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
• Thermodynamic uncertainty relation for systems with unidirectional transitions
• Extremal statistics for stochastic resetting systems
• Local time of diffusion with stochastic resetting
• Random acceleration process under stochastic resetting
• Resetting with stochastic return through linear confining potential
• Stochastic resetting on comb-like structures
• First-passage Brownian functionals with stochastic resetting
• Continuous time random walks under Markovian resetting
• Mean-performance of sharp restart I: Statistical roadmap
• Diffusion with Local Resetting and Exclusion
• Mitigating long queues and waiting times with service resetting
• Universal framework for record ages under restart
• Mitigating long transient time in deterministic systems by resetting
• Thermodynamic cost of finite-time stochastic resetting
• Fick-Jacobs description and first passage dynamics for diffusion in a channel under stochastic resetting
• Stochastic resetting antiviral therapies prevents drug resistance development
• Stochastic dynamics with multiplicative dichotomic noise: heterogeneous telegrapher's equation, anomalous crossovers and resetting
• Robust random search with scale-free stochastic resetting
• First passage of a diffusing particle under stochastic resetting in bounded domains with spherical symmetry
• Thermodynamic work of partial resetting
• Asymptotic analysis of extended two-dimensional narrow capture problems
• Resetting mediated navigation of active Brownian searcher in a homogeneous topography
• Rate enhancement of gated drift-diffusion process by optimal resetting
• Unusual stationary state in Brownian systems with Lorentz force
• Drift-diffusion on a Cayley tree with stochastic resetting: the localization-delocalization transition
• First-passage functionals for Ornstein Uhlenbeck process with stochastic resetting
• Diffusion with two resetting points
• Median and Mode in First Passage under Restart
• Zero-current Nonequilibrium State in Symmetric Exclusion Process with Dichotomous Stochastic Resetting
• Critical number of walkers for diffusive search processes with resetting
• Kuramoto model subject to subsystem resetting: How resetting a part of the system may synchronize the whole of it
• Non-linear diffusion with stochastic resetting
• Motion of a Brownian molecule in the presence of reactive boundaries
• Discrete-time random walks and Lévy flights on arbitrary networks: when resetting becomes advantageous?
• Searching for clusters of targets under stochastic resetting
• Lévy flights and Lévy walks under stochastic resetting
• Extremal statistics for a resetting Brownian motion before its first-passage time
• Autonomous Ratcheting by Stochastic Resetting
• First detection of threshold crossing events under intermittent sensing
• Effects of mortality on stochastic search processes with resetting
• Asymptotic analysis and simulation of mean first passage time for active Brownian particles in 1-D
• Freezing transitions of Brownian particles in confining potentials
• Chiral run-and-tumble walker: transport and optimizing search
• Random acceleration process on finite intervals under stochastic restarting
• Queues with resetting: a perspective
• First passage in discrete-time absorbing Markov chains under stochastic resetting
• Dichotomous flow with thermal diffusion and stochastic resetting
• Quest for optimal quantum resetting: protocols for a particle on a chain
• Diffusion in a partially absorbing medium with position and occupation time resetting
• Optimization of escape kinetics by reflecting and resetting
• Random search with resetting in heterogeneous environments
• Random resetting in search problems
• Entropy of Sharp Restart
• Optimal mean first-passage time of a Brownian searcher with resetting in one and two dimensions: Experiments, theory and numerical tests
• Siegmund duality for physicists: a bridge between spatial and first-passage properties of continuous and discrete time stochastic processes
• Mean first-encounter times of simultaneous random walkers with resetting on networks
• Continuous Gated First-Passage Processes
• Autocorrelation functions and ergodicity in diffusion with stochastic resetting
• The Pólya and Sisyphus lattice random walks with resetting -- a first passage under restart approach
• Universal criterion for selective outcomes under stochastic resetting
• Analytic and Monte Carlo Approximations to the Distribution of the First Passage Time of the Drifted Diffusion with Stochastic Resetting and Mixed Boundary Conditions
• Stochastic 1D search-and-capture as a G/M/c queueing model
• The distribution of the maximum of independent resetting Brownian motions
• Abrupt transitions in the optimization of diffusion with distributed resetting
• Proxitaxis: an adaptive search strategy based on proximity and stochastic resetting
• Ising Model with Power Law Resetting
• Physics of free climbing
• Interplay of noise induced stability and stochastic resetting
• How target distributions shape optimal stochastic resetting
• Optimal switching strategies in multi-drug therapies for chronic diseases
• Target competition for resources under diffusive search-and-capture
• Non-standard diffusion under Markovian resetting in bounded domains