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Spherical Janus particles are one of the most prominent examples for active Brownian objects. Here, we study the diffusiophoretic motion of such microswimmers in experiment and in theory. Three stages are found: simple Brownian motion at…

Soft Condensed Matter · Physics 2013-10-08 Xu Zheng , Borge ten Hagen , Andreas Kaiser , Meiling Wu , Haihang Cui , Zhanhua Silber-Li , Hartmut Löwen

We computationally study the behavior of underdamped active Brownian particles in a sheared channel geometry. Due to their underdamped dynamics, the particles carry momentum a characteristic distance away from the boundary before it is…

Soft Condensed Matter · Physics 2019-10-23 Caleb G. Wagner , Michael F. Hagan , Aparna Baskaran

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

We study the transport of active Brownian particles (ABPs) in three-dimensional (3D) oscillatory geometries, which are spatially periodic. We establish a generalized Fick-Jacobs approach, which reduces a 3D system to an effective 1D system…

Soft Condensed Matter · Physics 2025-09-16 Rahul Sinha , Ankit Gupta , P. S. Burada

The exact analytical expressions for the time-dependent cross-correlations of the translational and rotational Brownian displacements of a particle with arbitrary shape were derived by us in [J. Chem. Phys. 142, 214902 (2015) and 144,…

Soft Condensed Matter · Physics 2018-10-09 B. Cichocki , M. L. Ekiel-Jezewska , E. Wajnryb

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…

Soft Condensed Matter · Physics 2022-01-05 S. M. J. Khadem , N. H. Siboni , S. H. L. Klapp

The overdamped Brownian motion of a self-propelled particle which is driven by a projected internal force is studied by solving the Langevin equation analytically. The "active" particle under study is restricted to move along a linear…

Soft Condensed Matter · Physics 2014-02-28 Borge ten Hagen , Sven van Teeffelen , Hartmut Löwen

Active Brownian Particles are self-propelled particles that move in a dissipative medium subject to random forces, or noise . Additionally, they can be confined by an external field and/or they can interact with one another. The external…

Populations and Evolution · Quantitative Biology 2007-05-23 Udo Erdmann , Werner Ebeling , Lutz Schimansky-Geier , Anke Ordemann , Frank Moss

A self-propelled artificial microswimmer is often modeled as a ballistic Brownian particle moving with constant speed aligned along one of its axis, but changing direction due to random collisions with the environment. Similarly to thermal…

Soft Condensed Matter · Physics 2015-12-08 Pulak K. Ghosh , Yunyun Li , Giampiero Marchegiani , Fabio Marchesoni

We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for $1-d$ systems of masses connected…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling

Brownian dynamics of a self-propelled particle in linear shear flow is studied analytically by solving the Langevin equation and in simulation. The particle has a constant propagation speed along a fluctuating orientation and is…

Soft Condensed Matter · Physics 2014-01-28 Borge ten Hagen , Raphael Wittkowski , Hartmut Löwen

Suspensions of purely repulsive but self-propelled Brownian particles might undergo phase separation, a phenomenon that strongly resembles the phase separation of passive particles with attractions. Here we employ computer simulations to…

Statistical Mechanics · Physics 2016-08-05 David Richard , Hartmut Löwen , Thomas Speck

In this work, we have performed a detailed holographic analysis of the stochastic dynamics of a heavy particle propagating through a strongly coupled plasma moving with a constant velocity along a fixed spatial direction. To model this…

High Energy Physics - Theory · Physics 2026-05-07 Anirban Roy Chowdhury , Ashis Saha , Sunandan Gangopadhyay

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

A reversal of the particle current in rocking Brownian motors was predicted more than 20 years ago; however, an experimental verification and a deeper insight into the underlying mechanisms remained elusive. Here, we investigate the high…

Statistical Mechanics · Physics 2018-09-12 Christian Schwemmer , Stefan Fringes , Urs Duerig , Yu Kyoung Ryu Cho , Armin W. Knoll

We study both experimentally and theoretically the dynamics of chemically self-propelled Janus colloids moving atop a two-dimensional crystalline surface. The surface is a hexagonally close-packed monolayer of colloidal particles of the…

Soft Condensed Matter · Physics 2017-12-19 Udit Choudhury , Arthur V. Straube , Peer Fischer , John G. Gibbs , Felix Höfling

In this paper, a comprehensive examination of the temperature- and bias-dependent diffusion regimes of underdamped Brownian particles is presented. A temperature threshold for a transition between anomalous and normal diffusive behaviors is…

Statistical Mechanics · Physics 2021-11-16 Trey Jiron , Marygrace Prinster , Jarrod Schiffbauer

Non-typical transport phenomena may arise when randomly driven particles remain in an active relationship with the environment instead of being passive. If we attribute to Brownian particles an ability to induce alterations of the…

Statistical Mechanics · Physics 2009-10-31 Piotr Garbaczewski

The fluctuation-dissipation theorem is a central theorem in nonequilibrium statistical mechanics by which the evolution of velocity fluctuations of the Brownian particle under a fluctuating environment is intimately related to its…

Statistical Mechanics · Physics 2015-05-14 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee

Self-propelled active matter can exhibit vastly different behavior than systems with purely Brownian motion. In Eur. Phys. J. E 40, 23 (2017), Zeitz, Wolf, and Stark compared an active matter particle with a Brownian particle moving in a…

Soft Condensed Matter · Physics 2026-03-06 C. Reichhardt , C. J. O. Reichhardt