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Stochastic resetting models diverse phenomena across numerous scientific disciplines. Current understanding stems from the renewal framework, which relates systems subject to global resetting to their non-resetting counterparts. Yet, in…

Statistical Mechanics · Physics 2021-03-10 Asaf Miron , Shlomi Reuveni

We review recent work on systems with multiple interacting-particles having the dynamical feature of stochastic resetting. The interplay of time scales related to inter-particle interactions and resetting leads to a rich behavior, both…

Statistical Mechanics · Physics 2023-07-05 Apoorva Nagar , Shamik Gupta

The random arrest of the diffusion of a single particle and its return to its origin has served as the paradigmatic example of a large variety of processes undergoing stochastic resetting. While the implications and applications of…

Soft Condensed Matter · Physics 2025-04-15 Ron Vatash , Yael Roichman

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

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

Stochastic interactions generically enhance self-diffusivity in living and biological systems, e.g. optimizing navigation strategies and controlling material properties of cellular tissues and bacterial aggregates. Despite this, the…

Soft Condensed Matter · Physics 2024-01-24 Henry Alston , Thibault Bertrand

An encounter-based approach consists in using the boundary local time as a proxy for the number of encounters between a diffusing particle and a target to implement various surface reaction mechanisms on that target. In this paper, we…

Statistical Mechanics · Physics 2023-10-03 Ziyad Benkhadaj , Denis S. Grebenkov

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

This study examines the dynamics of a tracer particle diffusing in a nonequilibrium medium under stochastic resetting. The nonequilibrium state is induced by harmonic coupling between the tracer and bath particles, generating memory effects…

Statistical Mechanics · Physics 2025-02-04 Koushik Goswami

In this Topical Review we consider stochastic processes under resetting, which have attracted a lot of attention in recent years. We begin with the simple example of a diffusive particle whose position is reset randomly in time with a…

Statistical Mechanics · Physics 2020-06-24 Martin R. Evans , Satya N. Majumdar , Gregory Schehr

The state of many physical, biological and socio-technical systems evolves by combining smooth local transitions and abrupt resetting events to a set of reference values. The inclusion of the resetting mechanism not only provides the…

Statistical Mechanics · Physics 2022-12-21 Oriol Artime

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

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

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 study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We…

Statistical Mechanics · Physics 2015-05-27 Martin R. Evans , Satya N. Majumdar

We study several lattice random walk models with stochastic resetting to previously visited sites which exhibit a phase transition between an anomalous diffusive regime and a localization regime where diffusion is suppressed. The localized…

Statistical Mechanics · Physics 2020-01-27 Denis Boyer , Andrea Falcón-Cortés , Luca Giuggioli , Satya N. Majumdar

We develop a framework for designing density-dependent stochastic resetting protocols to regulate distributions of random walkers on networks. Resetting mechanisms that depend on local densities induce correlations in otherwise…

Statistical Mechanics · Physics 2025-06-19 Francesco Coghi , Kristian Stølevik Olsen

Biological systems often consist of a small number of constituents and are therefore inherently noisy. To function effectively, these systems must employ mechanisms to constrain the accumulation of noise. Such mechanisms have been…

Statistical Mechanics · Physics 2024-09-04 Felix J. Meigel , Steffen Rulands

Resetting is a renewal mechanism in which a process is intermittently repeated after a random or fixed time. This simple act of stop and repeat profoundly influences the behaviour of a system as exemplified by the emergence of…

Statistical Mechanics · Physics 2024-03-22 Saikat Santra , Prashant Singh

A novel paradigm for sorting is introduced, based upon resetting. Using simple examples, we demonstrate that sorting is achieved by resetting the velocity component(s) or orientation of the particles, rather than position. The objects to be…

Statistical Mechanics · Physics 2026-03-23 Bart Cleuren , Ralf Eichhorn
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