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We determine the full distribution and moments of the first passage time for a wide class of stochastic search processes in the limit of frequent stochastic resetting. Our results apply to any system whose short-time behavior of the search…

Statistical Mechanics · Physics 2023-02-22 Samantha Linn , Sean D Lawley

We study the statistical properties of first-passage time functionals of a one dimensional Brownian motion in the presence of stochastic resetting. A first-passage functional is defined as $V=\int_0^{t_f} Z[x(\tau)]$ where $t_f$ is the…

Statistical Mechanics · Physics 2022-06-08 Prashant Singh , Arnab Pal

We study the diffusion process in the presence of stochastic resetting inside a two-dimensional wedge of top angle $\alpha$, bounded by two infinite absorbing edges. In the absence of resetting, the second moment of the first-passage time…

Statistical Mechanics · Physics 2025-12-01 Fazil Najeeb , Arnab Pal , V. V. Prasad

We consider the motion of a randomly accelerated particle in one dimension under stochastic resetting mechanism. Denoting the position and velocity by $x$ and $v$ respectively, we consider two different resetting protocols - (i) complete…

Statistical Mechanics · Physics 2020-10-07 Prashant Singh

Stochastic restarting is a strategy of starting anew. Incorporation of the resetting to the random walks can result in the decrease of the mean first passage time, due to the ability to limit unfavorably meandering, sub-optimal…

Statistical Mechanics · Physics 2023-11-08 Karol Capała , Bartłomiej Dybiec

The effects of Poissonian resetting at a constant rate $r$ on the reaction time between a Brownian particle and a stochastically gated target are studied. The target switches between a reactive state and a non-reactive one. We calculate the…

Statistical Mechanics · Physics 2021-10-11 Gabriel Mercado-Vásquez , Denis Boyer

In this paper, we analyze the mean first passage time (MFPT) for a single Brownian particle to find a stochastically-gated target under the additional condition that the position of the particle is reset to a fixed position $\x_r$ at a rate…

Statistical Mechanics · Physics 2020-10-28 Paul C Bressloff

We investigate a moving boundary problem for a Brownian particle on the semi-infinite line in which the boundary moves by a distance proportional to the time between successive collisions of the particle and the boundary. Phenomenologically…

Statistical Mechanics · Physics 2025-01-14 B. De Bruyne , J. Randon-Furling , S. Redner

We study the statistics of the first-passage time of a single run and tumble particle (RTP) in one spatial dimension, with or without resetting, to a fixed target located at $L>0$. First, we compute the first-passage time distribution of a…

Statistical Mechanics · Physics 2023-03-20 Gennaro Tucci , Andrea Gambassi , Satya N. Majumdar , Gregory Schehr

We use a first-passage time approach to study the statistics of the trapping times induced by persistent motion of active particles colliding with flat boundaries. The angular first-passage time distribution and mean first-passage time is…

Statistical Mechanics · Physics 2022-08-02 Emily Qing Zang Moen , Kristian Stølevik Olsen , Jonas Rønning , Luiza Angheluta

We study the statistical properties of first-passage Brownian functionals (FPBFs) of an Ornstein-Uhlenbeck (OU) process in the presence of stochastic resetting. We consider a one dimensional set-up where the diffusing particle sets off from…

Statistical Mechanics · Physics 2024-03-27 Ashutosh Dubey , Arnab Pal

A rapidly increasing number of systems is identified in which the stochastic motion of tracer particles follows the Brownian law $\langle\mathbf{r}^2(t) \rangle\simeq Dt$ yet the distribution of particle displacements is strongly…

Statistical Mechanics · Physics 2019-01-30 V. Sposini , A. V. Chechkin , R. Metzler

Brownian diffusion subject to stochastic resetting to a fixed position has been widely studied for applications to random search processes. In an unbounded domain, the mean first-passage time at a target site can be minimized for a…

Statistical Mechanics · Physics 2025-10-08 Pedro Julián-Salgado , Leonardo Dagdug , Denis Boyer

We consider the mean first passage time (MFPT) for a diffusive particle in a potential landscape with the extra condition that the particle is reset to its original position with some rate r. We study non-smooth and non-convex potentials…

Statistical Mechanics · Physics 2025-09-16 Johannes Aspman , Daniel Mastropietro , Jakub Marecek

We study the dynamics of overdamped Brownian particles diffusing in conservative force fields and undergoing stochastic resetting to a given location with a generic space-dependent rate of resetting. We present a systematic approach…

Statistical Mechanics · Physics 2017-08-15 Édgar Roldán , Shamik Gupta

The escape of the randomly accelerated undamped particle from the finite interval under action of stochastic resetting is studied. The motion of such a particle is described by the full Langevin equation and the particle is characterized by…

Statistical Mechanics · Physics 2021-08-31 Karol Capała , Bartłomiej Dybiec

We explore the effect of stochastic resetting on the first-passage properties of space-dependent diffusion in presence of a constant bias. In our analytically tractable model system, a particle diffusing in a linear potential…

Statistical Mechanics · Physics 2020-12-23 Somrita Ray

We consider a run-and-tumble particle on a finite interval $[a,b]$ with two absorbing end points. The particle has an internal velocity state that switches between three values $v,0,-v$ at exponential times, thus incorporating positive…

Statistical Mechanics · Physics 2026-02-02 Pascal Grange , Linglong Yuan

We investigate theoretically and experimentally the first passage-time properties of a spherical Brownian particle that is harmonically trapped at thermal equilibrium in a fluid at constant temperature. By using the overdamped version of…

Statistical Mechanics · Physics 2026-05-26 Brandon R. Ferrer , Juan Ruben Gomez-Solano

We consider a run-and-tumble particle on a half-line with an absorbing target at the origin. The particle has an internal velocity state that switches between two opposite values at Poisson-distributed times. The position of the particle…

Statistical Mechanics · Physics 2025-06-19 Pascal Grange , Linglong Yuan