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The effects of Poissonian resetting at a constant rate $r$ on the reaction time between a Brownian particle and a stochastically gated target are studied. The target switches between a reactive state and a non-reactive one. We calculate the…

Statistical Mechanics · Physics 2021-10-11 Gabriel Mercado-Vásquez , Denis Boyer

We model an overdamped Brownian particle that is subject to resetting facilitated by a ratchet potential on a spatially periodic domain. This asymmetric potential switches on with a constant rate, but switches off again only upon the…

Statistical Mechanics · Physics 2024-07-25 Connor Roberts , Emir Sezik , Eloise Lardet

Will the strategy of resetting} help a stochastic process to reach its target efficiently, with its environment continually toggling between a strongly favourable and an unfavourable (or weakly favourable) state? A diffusive run-and-tumble…

Statistical Mechanics · Physics 2025-03-04 Hillol kumar Barman , Amitabha Nandi , Dibyendu Das

We propose a generalization of the stochastic resetting mechanism for a Brownian particle diffusing in a one-dimensional periodic potential: randomly in time, the particle gets reset at the bottom of the potential well it was in. Numerical…

Statistical Mechanics · Physics 2025-08-18 Pulak K. Ghosh , Shubhadip Nayak , Jianli Liu , Yunyun Li , Fabio Marchesoni

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

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 consider a single Brownian particle in one dimension in a medium at a constant temperature in the underdamped regime. We stochastically reset the position of the Brownian particle to a fixed point in the space with a constant rate $r$…

Statistical Mechanics · Physics 2019-05-22 Deepak Gupta

We formulate an economic optimal control problem for transport of natural gas over a large-scale transmission pipeline network under transient flow conditions. The objective is to maximize economic welfare for users of the pipeline system,…

Optimization and Control · Mathematics 2019-12-09 Anatoly Zlotnik , Kaarthik Sundar , Aleksandr M. Rudkevich , Aleksandr Beylin , Xindi Li

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

Accelerating controlled thermodynamic processes requires an auxiliary Hamiltonian to steer the system into instantaneous equilibrium states. An extra energy cost is inevitably needed in such finite-time operation. We recently develop a…

Statistical Mechanics · Physics 2023-01-18 Geng Li , C. P. Sun , Hui Dong

We study the effects of stochastic resetting on the Reallocating geometric Brownian motion (RGBM), an established model for resource redistribution relevant to systems such as population dynamics, evolutionary processes, economic activity,…

Statistical Mechanics · Physics 2024-11-20 Petar Jolakoski , Pece Trajanovski , Arnab Pal , Viktor Stojkoski , Ljupco Kocarev , Trifce Sandev

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

A single queue incorporating a retransmission protocol is investigated, assuming that the sequence of per effort success probabilities in the Automatic Retransmission reQuest (ARQ) chain is a priori defined and no channel state information…

Multimedia · Computer Science 2013-12-03 Anastasios Giovanidis , Gerhard Wunder , Joerg Buehler

Optimization of cyclic stochastic heat engines, a topic spanning decades of research, commonly assumes fixed control or response parameters at discrete points in the cycle-a limitation that often leads to experimentally impractical…

Statistical Mechanics · Physics 2025-07-02 Monojit Chatterjee , Viktor Holubec , Rahul Marathe

Transferring a physical system from an initial to a final state while minimizing energetic losses is an interdisciplinary control problem that bridges stochastic thermodynamics and optimal transport theory. Recent research typically…

Statistical Mechanics · Physics 2026-02-23 Jann van der Meer , Andreas Dechant

Temperature control in refrigerated delivery vehicles is critical for preserving product quality, yet existing approaches neglect critical operational uncertainties, such as stochastic door opening durations and heterogeneous initial…

Optimization and Control · Mathematics 2025-05-08 Francesco Giliberto , Rosario Paradiso , David Wozabal

We combine the processes of resetting and first-passage to define \emph{first-passage resetting}, where the resetting of a random walk to a fixed position is triggered by a first-passage event of the walk itself. In an infinite domain,…

Statistical Mechanics · Physics 2021-06-22 B. De Bruyne , J. Randon-Furling , S. Redner

The goal of thermodynamic optimal control theory is to find protocols to change the state of a system from an initial to a desired final distribution, within a finite time, with the least possible expenditure of work. The optimal protocol…

Statistical Mechanics · Physics 2025-12-18 Daan Mulder , Thomas E. Ouldridge , Pieter Rein ten Wolde

Proper management of resources whose arrival and consumption are subject to environmental randomness is an intrinsic process in both natural and artificial systems. This phenomenon can be modeled as a queuing process whose arrival…

Statistical Mechanics · Physics 2026-05-18 José Giral-Barajas , Paul C. Bressloff

Resetting has been shown to reduce the completion time for a stochastic process, such as the first passage time for a diffusive searcher to find a target. The time between two consecutive resetting events is drawn from a waiting time…

Statistical Mechanics · Physics 2025-06-23 Martin R. Evans , Somrita Ray