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We study the first-passage-time (FPT) properties of an active Brownian particle under stochastic resetting to its initial configuration, comprising its position and orientation, to reach an absorbing wall in two dimensions. Coupling a…

Soft Condensed Matter · Physics 2025-04-04 Yanis Baouche , Christina Kurzthaler

We study a Brownian particle diffusing under a time-modulated stochastic resetting mechanism to a fixed position. The rate of resetting r(t) is a function of the time t since the last reset event. We derive a sufficient condition on r(t)…

Statistical Mechanics · Physics 2016-05-18 Arnab Pal , Anupam Kundu , Martin R. Evans

We investigate the mean first passage time of an active Brownian particle in one dimension using numerical simulations. The activity in one dimension is modeled as a two state model; the particle moves with a constant propulsion strength…

Soft Condensed Matter · Physics 2018-02-14 Alberto Scacchi , Abhinav Sharma

First passage under restart has recently emerged as a conceptual framework to study various stochastic processes under restart mechanism. Emanating from the canonical diffusion problem by Evans and Majumdar, restart has been shown to…

Statistical Mechanics · Physics 2021-06-01 Ofek Lauber Bonomo , Arnab Pal

First passage in a stochastic process may be influenced by the presence of an external confining potential, as well as "stochastic resetting" in which the process is repeatedly reset back to its initial position. Here we study the interplay…

Soft Condensed Matter · Physics 2020-10-06 Saeed Ahmad , Indrani Nayak , Ajay Bansal , Amitabha Nandi , Dibyendu Das

We study experimentally and theoretically the optimal mean time needed by a free diffusing Brownian particle to reach a target at a distance L from an initial position in the presence of resetting. Both the initial position and the…

Statistical Mechanics · Physics 2020-08-05 Benjamin Besga , Alfred Bovon , Artyom Petrosyan , Satya N. Majumdar , Sergio Ciliberto

We study the effect of a resetting point randomly distributed around the origin on the mean first passage time of a Brownian searcher moving in one dimension. We compare the search efficiency with that corresponding to reset to the origin…

Statistical Mechanics · Physics 2024-01-03 Vicenç Mendez , Rosa Flaquer-Galmés , Daniel Campos

We study the first-passage time to the origin of a mortal Brownian particle, with mortality rate $ \mu $, diffusing in one dimension. The particle starts its motion from $ x>0 $ and it is subject to stochastic resetting with constant rate $…

Statistical Mechanics · Physics 2023-03-01 Mattia Radice

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…

Statistical Mechanics · Physics 2020-11-11 Gabriel Mercado-Vásquez , Denis Boyer , Satya N. Majumdar , Grégory Schehr

In the past few years, stochastic resetting has become a subject of immense interest. Most of the theoretical studies so far focused on instantaneous resetting which is, however, a major impediment to practical realization or experimental…

Statistical Mechanics · Physics 2021-04-14 Deepak Gupta , Carlos A Plata , Anupam Kundu , Arnab Pal

We investigate the first passage properties of a Brownian particle diffusing freely inside a $d$-dimensional sphere with absorbing spherical surface subject to stochastic resetting. We derive the mean time to absorption (MTA) as functions…

Statistical Mechanics · Physics 2022-03-22 Hanshuang Chen , Feng Huang

During a random search, resetting the searcher's position from time to time to the starting point often reduces the mean completion time of the process. Although many different resetting models have been studied over the past ten years,…

Statistical Mechanics · Physics 2022-09-15 Gabriel Mercado-Vásquez , Denis Boyer , Satya N. Majumdar

We study experimentally, numerically and theoretically the optimal mean time needed by a Brownian particle, freely diffusing either in one or two dimensions, to reach, within a tolerance radius $R_{\text tol}$, a target at a distance $L$…

Statistical Mechanics · Physics 2022-02-08 Felix Faisant , Benjamin Besga , Artyom Petrosyan , Sergio Ciliberto , Satya N. Majumdar

First passage of stochastic processes under resetting has recently been an active research topic in the field of statistical physics. However, most of previous studies mainly focused on the systems with continuous time and space. In this…

Statistical Mechanics · Physics 2022-08-30 Hanshuang Chen , Guofeng Li , Feng Huang

Transport of particles through channels is of paramount importance in physics, chemistry and surface science due to its broad real world applications. Much insights can be gained by observing the transition paths of a particle through a…

Statistical Mechanics · Physics 2023-04-12 Siddharth Jain , Denis Boyer , Arnab Pal , Leonardo Dagdug

We consider motion of an overdamped Brownian particle subject to stochastic resetting in one dimension. In contrast to the usual setting where the particle is instantaneously reset to a preferred location (say, the origin), here we consider…

Statistical Mechanics · Physics 2021-05-26 Deepak Gupta , Arnab Pal , Anupam Kundu

We consider a random walker on a ring, subjected to resetting at Poisson-distributed times to the initial position (the walker takes the shortest path along the ring to the initial position at resetting times). In the case of a Brownian…

Statistical Mechanics · Physics 2022-03-30 Pascal Grange

We consider the dynamical evolution of a Brownian particle undergoing stochastic resetting, meaning that after random periods of time it is forced to return to the starting position. The intervals after which the random motion is stopped…

Statistical Mechanics · Physics 2022-07-19 Mattia Radice

We study how stochastic resetting affects first-passage processes in systems of many interacting particles. While resetting is well understood for single-particle dynamics, its consequences for collective behavior remain less clear. We…

Statistical Mechanics · Physics 2026-04-28 Juhee Lee , Seong-Gyu Yang , Ludvig Lizana

First passage under restart with branching is proposed as a generalization of first passage under restart. Strong motivation to study this generalization comes from the observation that restart with branching can expedite the completion of…

Statistical Mechanics · Physics 2019-01-23 Arnab Pal , Iddo Eliazar , Shlomi Reuveni
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