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Related papers: Entropy production of resetting processes

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The theory of stochastic resetting asserts that restarting a stochastic process can expedite its completion. In this paper, we study the escape process of a Brownian particle in an open Hamiltonian system that suffers noise-enhanced…

Statistical Mechanics · Physics 2024-01-23 Julia Cantisán , Alexandre R. Nieto , Jesús M. Seoane , Miguel A. F. Sanjuán

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

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

Inspired by many examples in nature, stochastic resetting of random processes has been studied extensively in the past decade. In particular, various models of stochastic particle motion were considered where upon resetting the particle is…

Statistical Mechanics · Physics 2022-11-23 Ofir Tal-Friedman , Yael Roichman , Shlomi Reuveni

We explore the effects of stochastic resetting to random positions of a Brownian particle on first passage times and Shannon's entropy. We explore the different entropy regimes, namely, the \textit{externally-driven}, the…

Soft Condensed Matter · Physics 2023-08-09 J. Quetzalcoatl Toledo-Marin , Denis Boyer

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

The probability distribution of the total entropy production in the non-equilibrium steady state follows a symmetry relation called the fluctuation theorem. When a certain part of the system is masked or hidden, it is difficult to infer the…

Statistical Mechanics · Physics 2020-04-29 Deepak Gupta , Sanjib Sabhapandit

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

Statistical Mechanics · Physics 2015-12-03 Ian J. Ford

One of the characteristic features of a stochastic process under resetting is that the probability density converges to a nonequilibrium stationary state (NESS). In addition, the approach to the stationary state exhibits a dynamical phase…

Statistical Mechanics · Physics 2021-09-01 Paul C Bressloff

We consider a random two-phase process which we call a reset-return one. The particle starts its motion at the origin. The first, displacement, phase corresponds to a stochastic motion of a particle and is finished at a resetting event. The…

Statistical Mechanics · Physics 2020-05-27 Anna S. Bodrova , Igor M. Sokolov

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 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

We study the counting of level crossings for inertial random processes exposed to stochastic resetting events. We develop the general approach of stochastic resetting for inertial processes with sudden changes in the state characterized by…

Statistical Mechanics · Physics 2023-12-22 Miquel Montero , Matteo Palassini , Jaume Masoliver

Resetting a stochastic process is an important problem describing the evolution of physical, biological and other systems which are continually returned to their certain fixed point. We consider the motion of a subdiffusive particle with a…

Statistical Mechanics · Physics 2024-01-18 Aleksander A. Stanislavsky

We study the positive occupation time of a run-and-tumble particle (RTP) subject to stochastic resetting. Under the resetting protocol, the position of the particle is reset to the origin at a random sequence of times that is generated by a…

Statistical Mechanics · Physics 2020-11-04 Paul C Bressloff

In this paper we analyze the effects of stochastic resetting on an encounter-based model of an unbiased run-and-tumble particle (RTP) confined to the half-line $[0,\infty)$ with a partially absorbing wall at $x=0$. The RTP tumbles at a…

Statistical Mechanics · Physics 2025-03-04 Paul C Bressloff

We propose an expression for the production of entropy for system described by a stochastic dynamics which is appropriate for the case where the reverse transition rate vanishes but the forward transition is nonzero. The expression is…

Statistical Mechanics · Physics 2024-08-22 Tânia Tome , Mário J. de Oliveira

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 study the statistics of infima, stopping times and passage probabilities of entropy production in nonequilibrium steady states, and show that they are universal. We consider two examples of stopping times: first-passage times of entropy…

Statistical Mechanics · Physics 2017-02-28 Izaak Neri , Édgar Roldán , Frank Jülicher

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

Statistical Mechanics · Physics 2013-05-30 Ian J. Ford , Richard E. Spinney