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Diffusion with stochastic resetting has recently emerged as a powerful modeling tool with a myriad of potential applications. Here, we study local time in this model, covering situations of free and biased diffusion with, and without, the…

统计力学 · 物理学 2019-06-06 Arnab Pal , Rakesh Chatterjee , Shlomi Reuveni , Anupam Kundu

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

We study non-interacting Poissonian run-and-tumble particles (RTPs) in two dimensions whose velocity orientations are controlled by an arbitrary circular distribution $Q(\phi)$. RTP-type active transport has been reported to undergo…

统计力学 · 物理学 2023-08-02 Yurim Jung

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 stationary fluctuations in two models involving $N$ Brownian particles undergoing stochastic resetting to the origin in 1d. We start with the basic reset model where the particles reset independently (model A). Then we introduce…

统计力学 · 物理学 2022-08-31 Ohad Vilk , Michael Assaf , Baruch Meerson

The Active Brownian Particle (ABP) model has become a prototype of self-propelled particles. ABPs move persistently at a constant speed $V$ along a direction that changes slowly by rotational diffusion, characterized by a coefficient $\Dr$.…

软凝聚态物质 · 物理学 2025-03-11 Rodrigo Soto

Replicating efficient and adaptable microbial navigation strategies, such as run and tumble (RnT) and tactic motions to synthetic active agents has been an enduring quest. To this end, we introduce a stochastic orientational reset (SOR)…

软凝聚态物质 · 物理学 2025-09-29 Sandip Kundu , Dibyendu Mondal , Arup Biswas , Arnab Pal , Manas Khan

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…

统计力学 · 物理学 2022-03-30 Pascal Grange

We study the extreme value statistics of first-passage trajectories generating from a one-dimensional drifted Brownian motion subject to stochastic resetting to the starting point with a constant rate $r$. Each stochastic trajectory starts…

统计力学 · 物理学 2025-06-18 Wusong Guo , Hao Yan , Hanshuang Chen

We characterise the steady states of a suspension of two-dimensional active brownian particles (ABPs). We calculate the steady-state probability distribution to lowest order in Peclet number. We show that macroscopic quantities can be…

统计力学 · 物理学 2023-08-09 Samuel Cameron , Majid Mosayebi , Rachel Bennett , Tanniemola B. Liverpool

Active Brownian particles (ABPs) represent a minimal model of active matter consisting of self-propelled spheres with purely repulsive interactions and rotational noise. Here, we examine the pressure of ABPs in two dimensions in both closed…

软凝聚态物质 · 物理学 2017-01-11 Adam Patch , David Yllanes , M. Cristina Marchetti

Active particles self-propel themselves with a stochastically evolving velocity, generating a persistent motion leading to a non-diffusive behavior of the position distribution. Nevertheless, an effective diffusive behavior emerges at times…

统计力学 · 物理学 2022-09-14 Ion Santra , Urna Basu , Sanjib Sabhapandit

Biological microswimmers often inhabit a porous or crowded environment such as soil. In order to understand how such a complex environment influences their spreading, we numerically study non-interacting active Brownian particles (ABPs) in…

软凝聚态物质 · 物理学 2016-12-06 Maria Zeitz , Holger Stark

We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purely non-equilibrium stochastic forces correlated with the…

统计力学 · 物理学 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

We report a theoretical study of an overdamped Brownian particle dynamics in the presence of both a spatially modulated one-dimensional periodic potential and a periodic alternating force (AF). As the periodic potential has a low symmetry…

统计力学 · 物理学 2013-05-29 M. V. Fistul

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…

无序系统与神经网络 · 物理学 2019-12-05 J. Quetzalcoatl Toledo-Marin , Denis Boyer , Francisco J. Sevilla

We study fluctuations of an ensemble of $N$ independent particles undergoing anomalous diffusion with random renewal resetting. The anomalous diffusion is modeled by the scaled Brownian motion (sBm): a Gaussian process, characterized by a…

统计力学 · 物理学 2026-03-17 Ohad Vilk , Baruch Meerson

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…

统计力学 · 物理学 2024-01-23 Julia Cantisán , Alexandre R. Nieto , Jesús M. Seoane , Miguel A. F. Sanjuán

We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

偏微分方程分析 · 数学 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

Active matter systems under confinement display persistent surface motion and a strong boundary affinity. However, despite extensive studies of their positional dynamics, much less attention has been given to the corresponding orientational…

软凝聚态物质 · 物理学 2026-05-21 Elsa Baby , Manoj Gopalakrishnan , Vishwas V. Vasisht