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Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this chapter, we review the Brownian motion of a particle moving in the vicinity of a…

软凝聚态物质 · 物理学 2022-10-28 Abdallah Daddi-Moussa-Ider , Stephan Gekle

We analyze a dilute suspension of active particles confined between walls and subjected to fields that can modulate particle speed as well as orientation. Generally, the particle distribution is different in the bulk compared to near the…

软凝聚态物质 · 物理学 2022-08-23 Vaseem A. Shaik , Zhiwei Peng , John F. Brady , Gwynn J. Elfring

Static nonreciprocal forces between particles generically drive persistent motion reminiscent of self-propulsion. Here, we demonstrate that reciprocity-breaking fluctuations about a reciprocal mean coupling strength are sufficient to…

软凝聚态物质 · 物理学 2023-04-18 Luca Cocconi , Henry Alston , Thibault Bertrand

We study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like…

统计力学 · 物理学 2020-07-21 Juan Ruben Gomez-Solano , Francisco J. Sevilla

We solve the time-dependent Fokker-Planck equation for a two-dimensional active Brownian particle exploring a circular region with an absorbing boundary. Using the passive Brownian particle as basis states and dealing with the activity as a…

统计力学 · 物理学 2023-06-23 Francesco Di Trapani , Thomas Franosch , Michele Caraglio

In this work, we report a new method to simulate active Brownian particles (ABPs) in molecular dynamics (MD) simulations. Immersed in a fluid, each ABP consists of a head particle and a spherical phantom region of fluid where the flagellum…

软凝聚态物质 · 物理学 2019-02-15 Liya Wang , Xinpeng Xu , Zhigang Li , Tiezheng Qian

Driven suspensions, where energy is input at a particle scale, are a framework for understanding general principles of out-of-equilibrium organization. A large number of simple interacting units can give rise to non-trivial structure and…

软凝聚态物质 · 物理学 2026-01-23 Pamud Akalanka Bethmage , Ryker Fish , Brennan Sprinkle , Michelle M. Driscoll

We consider the influence of active speed fluctuations on the dynamics of a $d$-dimensional active Brownian particle performing a persistent stochastic motion. We use the Laplace transform of the Fokker-Planck equation to obtain exact…

统计力学 · 物理学 2024-10-08 Amir Shee , Debasish Chaudhuri

We investigate a two-dimensional system of active particles confined to a narrow annular domain. Despite the absence of explicit interactions among the velocities or the active forces of different particles, the system displays a transition…

统计力学 · 物理学 2022-03-15 Lorenzo Caprini , Claudio Maggi , Umberto Marini Bettolo Marconi

We investigate Brownian motion with diffusivity alternately fluctuating between fast and slow states. We assume that sojourn-time distributions of these two states are given by exponential or power-law distributions. We develop a theory of…

统计力学 · 物理学 2019-07-17 Tomoshige Miyaguchi , Takashi Uneyama , Takuma Akimoto

We study the one-dimensional motion of a Brownian particle inside a confinement described by two reactive boundaries which can partially reflect or absorb the particle. Understanding the effects of such boundaries is important in physics,…

统计力学 · 物理学 2021-03-30 Arnab Pal , Isaac Pérez Castillo , Anupam Kundu

We investigate the stochastic dynamics of one sedimenting active Brownian particle in three dimensions under the influence of gravity and passive fluctuations in the translational and rotational motion. We present an analytical solution of…

软凝聚态物质 · 物理学 2018-08-24 Jérémy Vachier , Marco G. Mazza

Systems of independent active particles embedded into a fluctuating environment are relevant to many areas of soft-matter science. We use a minimal model of noninteracting spin-carrying Brownian particles in a Gaussian field and show that…

软凝聚态物质 · 物理学 2018-07-18 Ruben Zakine , Jean-Baptiste Fournier , Frédéric Van Wijland

The behavior of active matter under confinement poses significant challenges due to the intricate coupling between dynamics near boundaries and those in the bulk. A defining feature of active matter systems is that a substantial portion of…

偏微分方程分析 · 数学 2025-08-25 Leonid Berlyand , Spencer Dang , Pierre-Emmanuel Jabin , Mykhailo Potomkin

Many active particles are embedded in environments that exhibit viscoelastic properties. An important class of such media lacks a single characteristic relaxation timescale when subjected to a time-dependent stress. Rather, the stress…

软凝聚态物质 · 物理学 2025-12-24 David Santiago Quevedo , Monica Conte , Marjolein Dijkstra , Cristiane Morais Smith

Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

统计力学 · 物理学 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

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

In this work, we study the dynamics of a single active Brownian particle, as well as the collective behavior of interacting active Brownian particles, in a fluctuating heterogeneous environment. We employ a variant of the diffusing…

软凝聚态物质 · 物理学 2022-01-05 S. M. J. Khadem , N. H. Siboni , S. H. L. Klapp

Controlling the motion of active matter is a central issue that has recently garnered significant attention in fields ranging from non-equilibrium physics to chemical engineering and biology. Distinct methods for controlling active matter…

软凝聚态物质 · 物理学 2023-07-25 Archit Negi , Kazusa Beppu , Yusuke T. Maeda

Pattern formation often occurs in confined systems, yet how boundaries shape patterning dynamics is unclear. We develop techniques to analyze confinement effects in nonlocal advection-diffusion equations, which generically capture the…

斑图形成与孤子 · 物理学 2025-09-11 Jan Rombouts , Michael L Zhao , Alexander Aulehla , Anna Erzberger
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