Intermittent resetting potentials
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TL;DR: In this article, the authors studied 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.
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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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Citations
Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes.
TL;DR: In this article, the authors examined the impact of resetting on the MSD-and TAMSD-based spreading dynamics of particles executing fractional Brownian motion (FBM) with a long-time memory, heterogeneous diffusion processes (HDPs), with a power-law space-dependent diffusivity $D(x)={D}_{0}{|x|}^{\ensuremath{\gamma}}$ and their combined'' process of HDP-FBM.
66
Optimal mean first-passage time of a Brownian searcher with resetting in one and two dimensions: experiments, theory and numerical tests
TL;DR: In this article, the optimal mean first-passage time of a Brownian particle is studied as a function of the resetting period/rate for different target distances (values of the ratios $b=L/\sigma$) and target size.
63
Active Brownian motion in two dimensions under stochastic resetting.
TL;DR: The short-time non-Gaussian marginal position distributions are characterized using a perturbative approach and it is found that, in some cases, for a large resetting rate, the position distribution diverges near the resetting point; the nature of the divergence depends on the specific protocol.
61
Resetting transition is governed by an interplay between thermal and potential energy
Somrita Ray,Shlomi Reuveni +1 more
TL;DR: In this article, the authors proposed a general framework which reveals that the resetting transition is governed by an interplay between thermal and potential energy, which is illustrated for different classes of potentials used to model a wide variety of stochastic processes with numerous applications.
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Resetting with stochastic return through linear confining potential
TL;DR: In this paper, the authors consider a finite time resetting process facilitated by an external linear potential, where the trap is switched off as soon as the particle makes a first passage to the origin, and the process keeps repeating.
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References
The Fokker-Planck equation, methods of solution and applications
H. Risken,J. H. Eberly +1 more
- 01 Mar 1985
3.4K
Intermittent search strategies
TL;DR: This review examines intermittent target search strategies, which combine phases of slow motion, allowing the searcher to detect the target, and phases of fast motion during which targets cannot be detected, which suggest that the intrinsic efficiency of intermittent search strategies could justify their frequent observation in nature.
Diffusion with stochastic resetting.
TL;DR: In this paper, the authors studied simple diffusion where a particle stochastically resets to its initial position at a constant rate and showed that the mean time to find a stationary target by a diffusive searcher is finite and has a minimum value at an optimal resetting rate.
Stochastic Resetting and Applications
TL;DR: In this paper, the authors consider stochastic processes under resetting, which have attracted a lot of attention in recent years, and discuss multiparticle systems as well as extended systems, such as fluctuating interfaces.
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