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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…

统计力学 · 物理学 2023-07-05 Apoorva Nagar , Shamik Gupta

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…

统计力学 · 物理学 2014-02-04 Xavier Durang , Malte Henkel , Hyunggyu Park

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…

统计力学 · 物理学 2026-04-28 Juhee Lee , Seong-Gyu Yang , Ludvig Lizana

"Local resetting" was recently introduced to describe stochastic resetting in interacting systems where particles independently try to reset to a common "origin". Our understanding of such systems, where the resetting process is itself…

统计力学 · 物理学 2022-11-28 Asaf Miron

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…

统计力学 · 物理学 2021-03-10 Asaf Miron , Shlomi Reuveni

Motion under stochastic resetting serves to model a myriad of processes in physics and beyond, but in most cases studied to date resetting to the origin was assumed to take zero time or a time decoupled from the spatial position at the…

统计力学 · 物理学 2020-10-27 Arnab Pal , Łukasz Kuśmierz , Shlomi Reuveni

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…

统计力学 · 物理学 2020-06-24 Martin R. Evans , Satya N. Majumdar , Gregory Schehr

We study stochastic resetting of a probe particle in a viscoelastic environment where only the probe is reset while the medium retains memory of its past dynamics. Using a minimal model with finite correlation time, we analyze the…

统计力学 · 物理学 2026-03-19 Ion Santra , Debankur Das

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…

统计力学 · 物理学 2022-04-15 Shamik Gupta , Arun M. Jayannavar

The equilibrium properties of a system of passive diffusing particles in an external magnetic field are unaffected by the Lorentz force. In contrast, active Brownian particles exhibit steady-state phenomena that depend on both the strength…

统计力学 · 物理学 2020-10-06 Iman Abdoli , Abhinav Sharma

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…

统计力学 · 物理学 2017-08-15 Édgar Roldán , Shamik Gupta

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…

统计力学 · 物理学 2025-10-01 Maxence Arutkin , Shlomi Reuveni

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…

软凝聚态物质 · 物理学 2024-01-24 Henry Alston , Thibault Bertrand

This thesis develops exact analytical tools to study strongly correlated stochastic systems, with a focus on extreme value statistics, gap statistics, and full counting statistics in multi-particle processes. A central contribution is the…

统计力学 · 物理学 2025-08-19 Marco Biroli

Stochastic resetting is prevalent in natural and man-made systems giving rise to a long series of non-equilibrium phenomena. Diffusion with stochastic resetting serves as a paradigmatic model to study these phenomena, but the lack of a…

统计力学 · 物理学 2020-10-27 Ofir Tal-Friedman , Arnab Pal , Amandeep Sekhon , Shlomi Reuveni , Yael Roichman

The interaction between passive and active/driven particles has introduced a new way to control colloidal suspension properties from particle aggregation to crystallization. Here, we focus on the hydrodynamic interaction between a single…

软凝聚态物质 · 物理学 2024-02-07 Shih-Yuan Chen , Hector Lopez-Rios , Monica Olvera de la Cruz , Michelle M. Driscoll

A wide range of phenomena in the natural and social sciences involve large systems of interacting particles, including plasmas, collections of galaxies, coupled oscillators, cell aggregations, and economic ``agents'. Kinetic methods for…

统计力学 · 物理学 2024-02-05 Paul C Bressloff

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…

统计力学 · 物理学 2021-05-26 Deepak Gupta , Arnab Pal , Anupam Kundu

Diverse processes -- e.g., environmental pollution, groundwater remediation, oil recovery, filtration, and drug delivery -- involve the transport of colloidal particles in porous media. Using confocal microscopy, we directly visualize this…

软凝聚态物质 · 物理学 2021-03-23 Navid Bizmark , Joanna Schneider , Rodney D. Priestley , Sujit S. Datta

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…

统计力学 · 物理学 2026-01-28 Gabriele de Mauro , Marco Biroli , Satya N. Majumdar , Gregory Schehr
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