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A particle diffusing around a point of stable mechanical equilibrium in a static but non-conservative force field enters into a steady state characterized by circulation in the probability flux. Circulation in such a Brownian vortex is not…

Soft Condensed Matter · Physics 2009-03-17 Bo Sun , Jiayi Lin , Ellis Darby , Alexander Y. Grosberg , David G. Grier

Concentrated suspensions of swimming microorganisms and other forms of active matter are known to display complex, self-organized spatio-temporal patterns on scales large compared to those of the individual motile units. Despite intensive…

Soft Condensed Matter · Physics 2014-07-15 Enkeleida Lushi , Hugo Wioland , Raymond E Goldstein

We develop a minimal theoretical model that reveals a structured steady-state flux field with four alternating local circulation, a phenomenon we refer to as quadrupolar gyration. A passive Brownian particle is confined to move in a…

Statistical Mechanics · Physics 2025-08-13 Iman Abdoli , Hartmut Löwen

The effect of curvature and how it induces and enhances the transport of colloidal particles driven through narrow channels represent an unexplored research avenue. Here we combine experiments and simulations to investigate the dynamics of…

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

Statistical Mechanics · Physics 2009-06-05 Peter Hanggi , Fabio Marchesoni

Systems comprised of self-steering active Brownian particles are studied via simulations for a minimal cognitive flocking model. The dynamics of the active Brownian particles is extended by an orientational response with limited…

Soft Condensed Matter · Physics 2024-06-04 Rajendra Singh Negi , Roland G. Winkler , Gerhard Gompper

Laboratory experiments were conducted to study particle migration and flow properties of non- Brownian, non-colloidal suspensions ranging from 10% to 40% particle volume fraction in a pressure-driven flow over and through a porous structure…

Fluid Dynamics · Physics 2023-02-01 Parisa Mirbod , Nina C. Shapley

Many eukaryotic cells undergo frequent shape changes (described as amoeboid motion) that enable them to move forward. We investigate the effect of confinement on a minimal model of amoeboid swimmer. Complex pictures emerge: (i) The…

Biological Physics · Physics 2015-11-11 Hao Wu , M. Thiébaud , W. -F. Hu , A. Farutin , S. Rafaï , M. -C. Lai , P. Peyla , C. Misbah

Brownian motion is essential for describing diffusion in systems ranging from simple to complex liquids. Unlike simple liquids, which consist of only a solvent, complex liquids, such as colloidal suspensions or the cytoplasm of a cell, are…

Soft Condensed Matter · Physics 2025-02-27 Jeffrey C. Everts , Robert Hołyst , Karol Makuch

The interplay between Coulomb friction and random excitations is studied experimentally by means of a rotating probe in contact with a stationary granular gas. The granular material is independently fluidized by a vertical shaker, acting as…

Soft Condensed Matter · Physics 2013-04-26 A. Gnoli , A. Puglisi , H. Touchette

We study a collection of polar self-propelled particles confined to a long two-dimensional channel. We write the coupled hydrodynamic equations of motion for density and polarisation order parameter. At two confined boundaries, density is…

Fluid Dynamics · Physics 2017-03-02 Shradha Mishra , Sudipta Pattanayak

The swimming of cells, far from any boundary, can arise in the absence of long-range liquid-crystalline order within the cytoplasm, but simple models of this effect are lacking. Here we present a two-dimensional model of droplet…

Soft Condensed Matter · Physics 2020-07-29 Rajesh Singh , Elsen Tjhung , Michael E. Cates

The structural and dynamical properties of suspensions of self-propelled Brownian particles of spherical shape are investigated in three spatial dimensions. Our simulations reveal a phase separation into a dilute and a dense phase, above a…

Soft Condensed Matter · Physics 2015-05-12 Adam Wysocki , Roland G. Winkler , Gerhard Gompper

We consider a family of hard core objects moving as independent Brownian motions confined to a vessel by reflection. These are subject to gravitational forces modeled by drifts. The stationary distribution for the process has many…

Probability · Mathematics 2012-02-14 Krzysztof Burdzy , Zhen-Qing Chen , Soumik Pal

We develop the kinetic theory of the flux-carrying Brownian motion recently introduced in the context of open quantum systems. This model constitutes an effective description of two-dimensional dissipative particles violating both…

Statistical Mechanics · Physics 2022-07-27 Antonio A. Valido

Self-propelled particles can exhibit surprising non-equilibrium behaviors, and how they interact with obstacles or boundaries remains an important open problem. Here we show that chemically propelled micro-rods can be captured, with little…

Soft Condensed Matter · Physics 2014-02-21 Daisuke Takagi , Jeremie Palacci , Adam B. Braunschweig , Michael J. Shelley , Jun Zhang

We investigate a model for a Stirling-like engine consisting of a passive Brownian particle confined by a harmonic potential and interacting with a suspension of active Brownian particles that self-propel in a viscous solvent, which…

Soft Condensed Matter · Physics 2022-12-06 Carlos Antonio Guevara-Valadez , Rahul Marathe , Juan Ruben Gomez-Solano

The diffusive behavior of small entities is strongly influenced by the flow of the surrounding medium, which is ubiquitous in natural and artificial environments. In this study, we investigate the transport characteristics of the inertial…

Soft Condensed Matter · Physics 2025-11-19 Ankit Gupta , P. S. Burada

In colloidal systems, Brownian motion emerges from the massive separation of time and length scales associated to characteristic dynamics of the solute and solvent constituents. This separation of scales produces several temporal regimes in…

A classical model of Brownian motion consists of a heavy molecule submerged into a gas of light atoms in a closed container. In this work we study a 2D version of this model, where the molecule is a heavy disk of mass M and the gas is…

Dynamical Systems · Mathematics 2008-12-02 N. Chernov , D. Dolgopyat
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