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Related papers: Topotaxis of active Brownian particles

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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

Self-generated gradients have atttracted a lot of attention in the recent biological literature. It is considered as a robust strategy for a group of cells to find its way during a long journey. This note is intended to discuss various…

Analysis of PDEs · Mathematics 2021-09-15 Mete Demircigil , Vincent Calvez , Roxana Sublet

The non-thermal nature of self-propelling colloids offers new insights into non-equilibrium physics. The central mathematical model to describe their trajectories is active Brownian motion, where a particle moves with a constant speed,…

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 study interacting systems of linear Brownian motions whose drift vector at every time point is determined by the relative ranks of the coordinate processes at that time. Our main objective has been to study the long range behavior of the…

Probability · Mathematics 2008-01-22 Soumik Pal , Jim Pitman

This study aims to examine experimental conditions in which active particles are forced by their surroundings to move forward and backward in a continuous oscillatory manner. The experimental design is based on using a vibrating…

Soft Condensed Matter · Physics 2023-05-02 Denis Horvath , Cyril Slabý , Zoltán Tomori , Andrej Hovan , Pavol Miskovsky , Gregor Bánó

We use a simple model of particle shape to investigate how particle asymmetry affects particle-surface interaction, orientation, and stochastic dynamics over a planar surface. With this geometric model, we construct potential energy curves…

Soft Condensed Matter · Physics 2017-10-10 Guilherme H. Oliveira , A. Honorato , Rene A. Nome

In this paper, we report a Brownian dynamics simulation of the mobility-induced phase separation which occurs in a two-dimensional binary mixture of active soft Brownian particles, whose interactions are modeled by non-additive…

Soft Condensed Matter · Physics 2026-01-23 D. Jiménez-Flores , A. Rodríguez-Rivas , J. M. Romero-Enrique

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

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

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…

Soft Condensed Matter · Physics 2026-05-21 Elsa Baby , Manoj Gopalakrishnan , Vishwas V. Vasisht

We introduce a generic, purely mechanical model for environment sensitive motion of mammalian cells that is applicable to chemotaxis, haptotaxis, and durotaxis as modes of motility. It is able to theoretically explain all relevant…

Cell Behavior · Quantitative Biology 2016-05-09 Patrick Bitter , Kristof Leon Beck , Peter Lenz

Topological protection ensures stability of information and particle transport against perturbations. We explore experimentally and computationally the topologically protected transport of magnetic colloids above spatially inhomogeneous…

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

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…

Statistical Mechanics · Physics 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

Directed transport of interacting active (self-propelled)Brownian particles is numerically investigated in confined geometries (entropic barriers). The self-propelled velocity can break thermodynamical equilibrium and induce the directed…

Statistical Mechanics · Physics 2015-05-12 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

We investigate the nonequilibrium dynamics of active matter using a two-dimensional active Brownian particles model. In these systems, self-propelled particles undergo motility-induced phase separation (MIPS), spontaneously segregating into…

Soft Condensed Matter · Physics 2026-02-26 Toranosuke Umemura , Issei Sakai , Takuma Akimoto

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

In this Letter, we clarify the physical origin of effective transport in periodic and tilted periodic systems. When Brownian dynamics is examined on the scale of a single period, the particle displacement admits a natural separation into a…

Statistical Mechanics · Physics 2026-01-27 Sang Yang , Zhixin Peng

We consider a rigid assembly of two active Brownian particles, forming an active colloidal dimer, in a gradient of activity. We show analytically that depending on the relative orientation of the two particles the active dimer accumulates…

Soft Condensed Matter · Physics 2022-08-17 Hidde D. Vuijk , Sophie Klempahn , Holger Merlitz , Jens-Uwe Sommer , Abhinav Sharma