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The amalgamation of Internet of Things and the smart grid enables the energy optimal scheduling of appliances based on user needs and dynamic energy prices. Additionally, progress in local storage technology calls for exploiting additional…

Systems and Control · Electrical Eng. & Systems 2022-11-17 Brian Setz , Kawsar Haghshenas , Marco Aiello

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

The first hitting times of a stochastic process, i.e., the first time a process reaches a particular level, are of significant interest across various scientific disciplines, including biology, chemistry, and economics. We modify the…

Statistical Mechanics · Physics 2026-02-24 Bartosz Zbik , Bartłomiej Dybiec , Karol Capała , Zbigniew Palmowski , Igor M. Sokolov

Metadynamics is a powerful method to accelerate molecular dynamics simulations, but its efficiency critically depends on the identification of collective variables that capture the slow modes of the process. Unfortunately, collective…

Chemical Physics · Physics 2023-07-17 Ofir Blumer , Shlomi Reuveni , Barak Hirshberg

We look into the problem of stochastic resetting with refractory periods. The model dynamics comprises diffusive and motionless phases. The diffusive phase ends at random time instants, at which the system is reset to a given position --…

Statistical Mechanics · Physics 2024-03-26 Gregorio García-Valladares , Deepak Gupta , Antonio Prados , Carlos A. Plata

We explore the effect of stochastic resetting on the first-passage properties of space-dependent diffusion in presence of a constant bias. In our analytically tractable model system, a particle diffusing in a linear potential…

Statistical Mechanics · Physics 2020-12-23 Somrita Ray

Energy-efficient real-time task scheduling has been actively explored in the past decade. Different from the past work, this paper considers schedulability conditions for stochastic real-time tasks. A schedulability condition is first…

Operating Systems · Computer Science 2008-04-07 Vandy Berten , Chi-Ju Chang , Tei-Wei Kuo

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 investigate random searches under stochastic position resetting at rate $r$, in a bounded 1D environment with space-dependent diffusivity $D(x)$. For arbitrary shapes of $D(x)$ and prescriptions of the associated multiplicative…

Statistical Mechanics · Physics 2025-01-09 Luiz Menon , Celia Anteneodo

We consider the mean time to absorption by an absorbing target of a diffusive particle with the addition of a process whereby the particle is reset to its initial position with rate $r$. We consider several generalisations of the model of…

Statistical Mechanics · Physics 2015-11-24 Martin R. Evans , Satya N. Majumdar

We present and characterize a method to accelerate the relaxation of a Brownian object between two distinct equilibrium states. Instead of relying on a deterministic time-dependent control parameter, we use stochastic resetting to guide and…

Statistical Mechanics · Physics 2024-06-07 Rémi Goerlich , Tommer D. Keidar , Yael Roichman

Motivated by programmatic advertising optimization, we consider the task of sequentially allocating budget across a set of resources. At every time step, a feasible allocation is chosen and only a corresponding random return is observed.…

Artificial Intelligence · Computer Science 2024-10-02 Juliette Achddou , Olivier Cappe , Aurélien Garivier

Processes controlled by stochastic synthesis and degradation (SSD) are widespread in biology but their reaction kinetics are not well understood. Using methods borrowed from the theory of resetting processes, we determine the first-passage…

Statistical Mechanics · Physics 2026-02-12 Gabriel Mercado-Vásquez , Denis Boyer

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

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

We determine the full distribution and moments of the first passage time for a wide class of stochastic search processes in the limit of frequent stochastic resetting. Our results apply to any system whose short-time behavior of the search…

Statistical Mechanics · Physics 2023-02-22 Samantha Linn , Sean D Lawley

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

The escape of the randomly accelerated undamped particle from the finite interval under action of stochastic resetting is studied. The motion of such a particle is described by the full Langevin equation and the particle is characterized by…

Statistical Mechanics · Physics 2021-08-31 Karol Capała , Bartłomiej Dybiec

In this paper, we study a simple model of a diffusive particle on a line, undergoing a stochastic resetting with rate $r$, via rescaling its current position by a factor $a$, which can be either positive or negative. For $|a|<1$, the…

Statistical Mechanics · Physics 2024-11-08 Marco Biroli , Yannick Feld , Alexander K. Hartmann , Satya N. Majumdar , Gregory Schehr

Returning a system to a desired state under a force field involves a thermodynamic cost, i.e., {\it work}. This cost fluctuates for a small-scale system from one experimental realization to another. We introduce a general framework to…

Statistical Mechanics · Physics 2022-12-07 Deepak Gupta , Carlos A. Plata