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Related papers: Stochastic resetting with stochastic returns using…

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Resetting or restart, when applied to a stochastic process, usually brings its dynamics to a time-independent stationary state. In turn, the optimal resetting rate makes the mean time to reach a target to be the shortest one. These and…

Statistical Mechanics · Physics 2022-08-31 Przemyslaw Chelminiak

We consider a one-dimensional gas of $N$ independent Brownian particles subject to simultaneous stochastic resetting, with inter-reset times drawn from a general waiting-time distribution $\psi(\tau)$. This includes the well-known…

Statistical Mechanics · Physics 2026-01-28 Gabriele de Mauro , Marco Biroli , Satya N. Majumdar , Gregory Schehr

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

We analyze a one-dimensional intermittent random walk on an unbounded domain in the presence of stochastic resetting. In this process, the walker alternates between local intensive search, diffusion, and rapid ballistic relocations in which…

Statistical Mechanics · Physics 2024-01-31 Rosa Flaquer-Galmés , Daniel Campos , Vicenç Méndez

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

Diffusion with stochastic resetting, instantaneous returns of a diffusing particle to a reference point, creates a stationary probability distribution. The paradigm is extended here to a doubly stochastic protocol in which the resetting…

Statistical Mechanics · Physics 2025-10-01 Maxence Arutkin , Shlomi Reuveni

We consider a system of non-interacting particles on a line with initial positions distributed uniformly with density $\rho$ on the negative half-line. We consider two different models: (i) each particle performs independent Brownian motion…

In this work, we study in the framework of the so-called driven tight-binding chain (TBC) the issue of quantum unitary dynamics interspersed at random times with stochastic resets mimicking non-unitary evolution due to interactions with the…

Quantum Physics · Physics 2023-01-18 Sushanta Dattagupta , Debraj Das , Shamik Gupta

Stochastic resetting has attracted significant attention in recent years due to its wide-ranging applications across physics, biology, and search processes. In most existing studies, however, resetting events are governed by an external…

Statistical Mechanics · Physics 2026-03-31 Arup Biswas , Satya N Majumdar , Arnab Pal

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 analyze predator-prey dynamics in one dimension in which a Brownian predator adopts a chasing strategy that consists in stochastically resetting its current position to locations previously visited by a diffusive prey. We study three…

Disordered Systems and Neural Networks · Physics 2019-12-05 J. Quetzalcoatl Toledo-Marin , Denis Boyer , Francisco J. Sevilla

Stochastic resetting has recently emerged as an efficient target-searching strategy in various physical and biological systems. The efficiency of this strategy depends on the type of environmental noise, whether it is thermal or telegraphic…

Statistical Mechanics · Physics 2024-07-08 Priyo Shankar Pal , Jong-Min Park , Arnab Pal , Hyunggyu Park , Jae Sung Lee

A stochastic process with movement, return, and rest phases is considered in this paper. For the movement phase, the particles move following the dynamics of Gaussian process or ballistic type of L\'evy walk, and the time of each movement…

Statistical Mechanics · Physics 2021-12-01 Tian Zhou , Pengbo Xu , Weihua Deng

We present a method for enhanced sampling of molecular dynamics simulations using stochastic resetting. Various phenomena, ranging from crystal nucleation to protein folding, occur on timescales that are unreachable in standard simulations.…

Chemical Physics · Physics 2023-02-09 Ofir Blumer , Shlomi Reuveni , Barak Hirshberg

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

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

We study the dynamics of a Brownian motion with a diffusion coefficient which evolves stochastically. We first study this process in arbitrary dimensions and find the scaling form and the corresponding scaling function of the position…

Statistical Mechanics · Physics 2023-01-30 Ion Santra , Urna Basu , Sanjib Sabhapandit

We study the relaxation of a Brownian particle with long range memory under confinement in one dimension. The particle diffuses in an arbitrary confining potential and resets at random times to previously visited positions, chosen with a…

Statistical Mechanics · Physics 2025-07-15 Denis Boyer , Satya N. Majumdar

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 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
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