Intermittent resetting potentials

Abstract

We study the non-equilibrium steady states and first passage properties of a Brownian particle with position $X$ subject to an external confining potential of the form $V(X)=\mu |X|$, and that is switched on and off stochastically. Applying the potential intermittently generates a physically realistic diffusion process with stochastic resetting toward the origin, a topic which has recently attracted a considerable interest in a variety of theoretical contexts but has remained challenging to implement in lab experiments. The present system exhibits rich features, not observed in previous resetting models. The mean time needed by a particle starting from the potential minimum to reach an absorbing target located at a certain distance can be minimized with respect to the switch-on and switch-off rates. The optimal rates undergo continuous or discontinuous transitions as the potential strength $\mu$ is varied across non-trivial values. A discontinuous transition with metastable behavior is also observed for the optimal strength at fixed rates.

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References in corpus (32)

• Diffusion with Stochastic Resetting
• Intermittent search strategies
• Stochastic Resetting and Applications
• Diffusion with Optimal Resetting
• First order transition for the optimal search time of Lévy flights with resetting
• Optimal stochastic restart renders fluctuations in first passage times universal
• Experimental realization of diffusion with stochastic resetting
• Diffusion under time-dependent resetting
• Run and tumble particle under resetting: a renewal approach
• Steady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimension
• Optimal mean first-passage time for a Brownian searcher subjected to resetting: experimental and theoretical results
• 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
• Random walks with preferential relocations to places visited in the past and their application to biology
• Non-equilibrium steady states of stochastic processes with intermittent resetting
• Optimal first arrival times in Lévy flights with resetting
• Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics
• Boosting search by rare events
• Stochastic multiplicative processes with reset events
• Monotonous continuous-time random walks with drift and stochastic reset events
• Effects of refractory period on stochastic resetting
• Optimization in First-Passage Resetting
• Random walks on networks with stochastic resetting
• Localization transition induced by learning in random searches
• Diffusion with stochastic resetting is invariant to return speed
• Transport properties of random walks under stochastic non-instantaneous resetting
• Long time scaling behaviour for diffusion with resetting and memory
• Continuous time random walks under power-law resetting
• Comparison of two models of tethered motion
• First hitting times to intermittent targets
• Brownian motion under non-instantaneous resetting in higher dimensions

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• Stochastic resetting: A (very) brief review
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• Stochastic resetting with stochastic returns using external trap
• Active Brownian Motion in two-dimensions under Stochastic Resetting
• Brownian motion under intermittent harmonic potentials
• Mean perimeter and area of the convex hull of a planar Brownian motion in the presence of resetting
• Resetting with stochastic return through linear confining potential
• Resetting transition is governed by an interplay between thermal and potential energy
• Diffusion processes with Gamma-distributed resetting and non-instantaneous returns
• Thermodynamic cost of finite-time stochastic resetting
• Time to reach the maximum for a stationary stochastic process
• Work fluctuations for diffusion dynamics submitted to stochastic return
• Reducing mean first passage times with intermittent confining potentials: a realization of resetting processes
• Thermodynamic work of partial resetting
• Dynamical phase transition in the first-passage probability of a Brownian motion
• First passage time and information of a one-dimensional Brownian particle with stochastic resetting to random positions
• Dynamically emergent correlations between particles in a switching harmonic trap
• Critical number of walkers for diffusive search processes with resetting
• Nonequilibrium steady state of trapped active particles
• Discrete-time random walks and Lévy flights on arbitrary networks: when resetting becomes advantageous?
• Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise
• Dynamics of switching processes: general results and applications to intermittent active motion
• Extremal statistics for a resetting Brownian motion before its first-passage time
• Freezing transitions of Brownian particles in confining potentials
• Stochastic resetting with refractory periods: pathway formulation and exact results
• Search with stochastic home-returns can expedite classical first passage under resetting
• Optimal conditions for first passage of jump processes with resetting
• Active particle in a harmonic trap driven by a resetting noise: an approach via Kesten variables
• Random resetting in search problems
• Optimizing the random search of a finite-lived target by a Lévy flight
• Emerging cost-time Pareto front for diffusion with stochastic return
• Ratchet-mediated resetting: Current, efficiency, and exact solution
• Power-law relaxation of a confined diffusing particle subject to resetting with memory
• Nonequilibrium steady state of Brownian motion in an intermittent potential
• 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
• Active Brownian particle under stochastic position and orientation resetting in a harmonic trap
• Survival probability and position distribution of a run and tumble particle in $U(x)=\alpha |x|$ potential with an absorbing boundary
• The one-dimensional telegraphic process with noninstantaneous stochastic resetting
• The distribution of the maximum of independent resetting Brownian motions
• How target distributions shape optimal stochastic resetting
• Experimental evidence for strong emergent correlations between particles in a switching trap
• Critical habitat size of organisms diffusing with stochastic resetting
• Thermodynamic Cost of Random-Time Protocols