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Stochastic processes that are randomly reset to an initial condition serve as a showcase to investigate non-equilibrium steady states. However, all existing results have been restricted to the special case of memoryless resetting protocols.…

Statistical Mechanics · Physics 2016-03-23 Stephan Eule , Jakob Metzger

The effects of a stochastic reset, to its initial configuration, is studied in the exactly solvable one-dimensional coagulation-diffusion process. A finite resetting rate leads to a modified non-equilibrium stationary state. If in addition…

Statistical Mechanics · Physics 2014-02-04 Xavier Durang , Malte Henkel , Hyunggyu Park

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

Molecular dynamics simulations are widely used across chemistry, physics, and biology, providing quantitative insight into complex processes with atomic detail. However, their limited timescale of a few microseconds is a significant…

Chemical Physics · Physics 2025-04-10 Ofir Blumer , Barak Hirshberg

First passage time plays a fundamental role in dynamical characterization of stochastic processes. Crucially, our current understanding on the problem is almost entirely relies on the theoretical formulations, which assume the processes…

Statistical Mechanics · Physics 2023-02-01 Yuta Sakamoto , Takahiro Sakaue

Stochastic processes under resetting at random times have attracted a lot of attention in recent years and served as illustrations of nontrivial and interesting static and dynamic features of stochastic dynamics. In this paper, we aim to…

Statistical Mechanics · Physics 2025-06-18 Yating Wang , Hanshuang Chen

Resetting is a strategy for boosting the speed of a target-searching process. Since its introduction over a decade ago, most studies have been carried out under the assumption that resetting takes place instantaneously. However, due to its…

Statistical Mechanics · Physics 2023-05-09 Priyo Shankar Pal , Arnab Pal , Hyunggyu Park , Jae Sung Lee

Stochastic resetting has emerged as a useful strategy to reduce the completion time for a broad class of first passage processes. In the canonical setup, one intermittently resets a given system to its initial configuration only to start…

Statistical Mechanics · Physics 2025-01-28 Arup Biswas , Ashutosh Dubey , Anupam Kundu , 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

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

Stochastic processes offer a fundamentally different paradigm of dynamics than deterministic processes, the most prominent example of the latter being Newton's laws of motion. Here, we discuss in a pedagogical manner a simple and…

Statistical Mechanics · Physics 2022-04-15 Shamik Gupta , Arun M. Jayannavar

Stochastic resetting has been a subject of considerable interest within statistical physics, both as means of improving completion times of complex processes such as searches and as a paradigm for generating nonequilibrium stationary…

Statistical Mechanics · Physics 2025-04-09 Martin R. Evans , John C. Sunil

We present an inference scheme of long timescale, non-exponential kinetics from Molecular Dynamics simulations accelerated by stochastic resetting. Standard simulations provide valuable insight into chemical processes but are limited to…

Chemical Physics · Physics 2024-10-15 Ofir Blumer , Shlomi Reuveni , Barak Hirshberg

How long does a trajectory take to reach a stable equilibrium point in the basin of attraction of a dynamical system? This is a question of quite general interest, and has stimulated a lot of activities in dynamical and stochastic systems…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 Arnob Ray , Arnab Pal , Dibakar Ghosh , Syamal K. Dana , Chittaranjan Hens

Stochastic resetting is known for its ability to accelerate search processes and induce non-equilibrium steady states. Here, we compare the relaxation times and resulting steady states of resetting and thermal relaxation for Brownian motion…

Statistical Mechanics · Physics 2025-10-31 Nir Sherf , Remi Goerlich , Barak Hirshberg , Yael Roichman

We study stochastic resetting of a probe particle in a viscoelastic environment where only the probe is reset while the medium retains memory of its past dynamics. Using a minimal model with finite correlation time, we analyze the…

Statistical Mechanics · Physics 2026-03-19 Ion Santra , Debankur Das

Restart -- interrupting a stochastic process followed by a new start -- is known to improve the mean time to its completion, and the general conditions under which such an improvement is achieved are now well understood. Here, we explore…

Statistical Mechanics · Physics 2020-03-11 Sergey Belan

In this paper we introduce a general stochastic representation for an important class of processes with resetting. It allows to describe any stochastic process intermittently terminated and restarted from a predefined random or non-random…

Probability · Mathematics 2023-10-11 Marcin Magdziarz , Kacper Taźbierski

In many physical situations, there appears the problem of reaching a single target that is spatially distributed. Here we analyse how stochastic resetting, also spatially distributed, can be used to improve the search process when the…

Statistical Mechanics · Physics 2023-11-22 Gregorio García-Valladares , Carlos A. Plata , Antonio Prados , Alessandro Manacorda

We present a procedure for enhanced sampling of molecular dynamics simulations through informed stochastic resetting. Many phenomena, such as protein folding and crystal nucleation, occur over time scales that are inaccessible in standard…