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Micron-sized self-propelled (active) particles can be considered as model systems for characterizing more complex biological organisms like swimming bacteria or motile cells. We produce asymmetric microswimmers by soft lithography and study…

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

Soft Condensed Matter · Physics 2025-10-01 Tayeb Jamali

We study the two-dimensional motion of a self-propelling asymmetric bent rod. By employing slender body theory and the Lorentz reciprocal theorem, we determine particle trajectories for different geometric configurations and arbitrary…

Fluid Dynamics · Physics 2022-10-21 Arkava Ganguly , Ankur Gupta

Self-propelled particles in anisotropic environments can exhibit a motility that depends on their orientation. This dependence is relevant for a plethora of living organisms but difficult to study in controlled environments. Here, we…

Soft Condensed Matter · Physics 2023-10-27 Alexander R. Sprenger , Christian Scholz , Anton Ldov , Raphael Wittkowski , Hartmut Löwen

Overdamped Brownian motion of a self-propelled particle is studied by solving the Langevin equation analytically. On top of translational and rotational diffusion, in the context of the presented model, the "active" particle is driven along…

Soft Condensed Matter · Physics 2013-05-15 Borge ten Hagen , Sven van Teeffelen , Hartmut Löwen

Self-propelled particles move along circles rather than along a straight line when their driving force does not coincide with their propagation direction. Examples include confined bacteria and spermatozoa, catalytically driven nanorods,…

Soft Condensed Matter · Physics 2008-08-18 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

Active Brownian motion commonly assumes spherical overdamped particles. However, self-propelled particles are often neither symmetric nor overdamped yet underlie random fluctuations from their surroundings. Active Brownian motion has…

Soft Condensed Matter · Physics 2022-10-03 Jonas Mayer Martins , Raphael Wittkowski

Combining experiments on active colloids, whose propulsion velocity can be controlled via a feedback loop, and theory of active Brownian motion, we explore the dynamics of an overdamped active particle with a motility that depends…

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

Other Condensed Matter · Physics 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

We study a quasi-two-dimensional monolayer of granular rods fluidized by a spatially and temporally homogeneous upflow of air. By tracking the position and orientation of the particles, we characterize the dynamics of the system with…

Soft Condensed Matter · Physics 2010-11-03 L. J. Daniels , Y. Park , T. C. Lubensky , D. J. Durian

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…

Soft Condensed Matter · Physics 2022-10-28 Abdallah Daddi-Moussa-Ider , Stephan Gekle

At fast timescales, the self-similarity of random Brownian motion is expected to break down and be replaced by ballistic motion. So far, an experimental verification of this prediction has been out of reach due to a lack of instrumentation…

Statistical Mechanics · Physics 2010-03-11 Rongxin Huang , Branimir Lukic , Sylvia Jeney , Ernst-Ludwig Florin

We study experimentally, numerically and analytically, the dynamics of a chiral active particle (cm-sized robots), pulled at a constant translational velocity. We show that the system can be mapped to a Brownian particle driven across a…

Statistical Mechanics · Physics 2025-06-26 Juan Pablo Carrillo-Mora , Adrià Garcés , Demian Levis

We show from experiments and simulations on vibration-activated granular matter that self-propelled polar rods in an elastic medium on a substrate turn and move towards each other. We account for this effective attraction through a…

Soft Condensed Matter · Physics 2022-06-08 Rahul Kumar Gupta , Raushan Kant , Harsh Soni , A. K. Sood , Sriram Ramaswamy

A self-propelled particle in a two-dimensional axisymmetric system, such as a particle in a central force field or confined in a circular region, may show rotational or oscillatory motion. These motions do not require asymmetry of the…

Pattern Formation and Solitons · Physics 2015-07-09 Yuki Koyano , Natsuhiko Yoshinaga , Hiroyuki Kitahata

Self-propelled particles that are subject to noise are a well-established generic model system for active matter. A homogeneous alignment field can be used to orient the direction of the self-propulsion velocity and to model systems like…

Statistical Mechanics · Physics 2024-03-06 Sameh Othman , Jiarul Midya , Thorsten Auth , Gerhard Gompper

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

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

Recently, the Brownian dynamics of self-propelled (active) rod-like particles was explored to model the motion of colloidal microswimmers, catalytically-driven nanorods, and bacteria. Here, we generalize this description to biaxial…

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