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Related papers: Active Brownian Particles and Run-and-Tumble Parti…

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We consider active Brownian particles that intermittently switch between active and inactive states. Such behavior is ubiquitous at all scales, from bacteria to animals and in artificial active systems. We derive exact expressions for key…

Statistical Mechanics · Physics 2025-09-24 Fernando Peruani , Debasish Chaudhuri

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 study a set of Run-and-tumble particle (RTP) dynamics in two spatial dimensions. In the first case of the orientation {\theta} of the particle can assume a set of n possible discrete values while in the second case {\theta} is a…

Statistical Mechanics · Physics 2020-06-17 Ion Santra , Urna Basu , Sanjib Sabhapandit

Active transport of biomolecular condensates and cell migration in collectives are fundamental to development, homeostasis, and processes such as cancer progression, wound healing, and infection response. Yet how these assemblies are…

Soft Condensed Matter · Physics 2025-10-24 Hossein Vahid , Jens-Uwe Sommer , Abhinav Sharma

In this paper we develop an encounter-based model of a run-and-tumble particle (RTP) confined to a finite interval $[0,L]$ with partially absorbing, sticky boundaries at both ends. We assume that the particle switches between two constant…

Statistical Mechanics · Physics 2023-05-10 Paul C. Bressloff

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

We consider an active run-and-tumble particle (RTP) in $d$ dimensions, starting from the origin and evolving over a time interval $[0,t]$. We examine three different models for the dynamics of the RTP: the standard RTP model with…

Statistical Mechanics · Physics 2020-10-29 Francesco Mori , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

We study $N$ run-and-tumble particles (RTPs) in one dimension interacting via a double-well potential $W(r)=-k_0 \, r^2/2+g \, r^4/4$, which is repulsive at short interparticle distance $r$ and attractive at large distance. At large time,…

Statistical Mechanics · Physics 2026-03-26 Léo Touzo , Pierre Le Doussal

We study the motion of an active Brownian particle (ABP) using overdamped Langevin dynamics on a two-dimensional substrate with periodic array of obstacles and in a quasi-one-dimensional corrugated channel comprised of periodically arrayed…

Soft Condensed Matter · Physics 2019-05-28 Sudipta Pattanayak , Rakesh Das , Manoranjan Kumar , Shradha Mishra

As a result of the competition between self-propulsion and excluded volume interactions, purely repulsive self-propelled spherical particles undergo a motility-induced phase separation (MIPS). We carry out a systematic computational study,…

Soft Condensed Matter · Physics 2017-03-08 Demian Levis , Joan Codina , Ignacio Pagonabarraga

Recently, there has been much interest in activity-induced phase separations in concentrated suspensions of "active Brownian particles" (ABPs), self-propelled spherical particles whose direction of motion relaxes through thermal rotational…

Soft Condensed Matter · Physics 2014-02-13 Joakim Stenhammar , Davide Marenduzzo , Rosalind J. Allen , Michael E. Cates

We study a system of active particles with soft repulsive interactions that lead to an active cluster-crystal phase in two dimensions. We use two different modelizations of the active force - Active Brownian particles (ABP) and…

We study the diffusion of a Brownian probe particle of size $R$ in a dilute dispersion of active Brownian particles (ABPs) of size $a$, characteristic swim speed $U_0$, reorientation time $\tau_R$, and mechanical energy $k_s T_s = \zeta_a…

Soft Condensed Matter · Physics 2017-05-17 Eric W. Burkholder , John F. Brady

Individual self-propelled colloidal particles, like active Brownian particles (ABP) or run-and-tumble swimmers (RT), exhibit characteristic and well-known motion patterns. However, their interaction with obstacles remains an open and…

Soft Condensed Matter · Physics 2023-08-17 Venkata Manikantha Sai Ganesh Tanuku , Peter Vogel , Thomas Palberg , Ivo Buttinoni

The effect of curvature on an ensemble of repulsive active Brownian particles (ABPs) moving on a spherical surface is studied. Surface curvature strongly affects the dynamics of ABPs, as it introduces a new time scale $\tau=R/v_0$, with…

Soft Condensed Matter · Physics 2024-06-04 Priyanka Iyer , Roland G. Winkler , Dmitry A. Fedosov , Gerhard Gompper

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

We consider an active Brownian particle moving in a disordered two-dimensional energy or motility landscape. The averaged mean-square-displacement (MSD) of the particle is calculated analytically within a systematic short-time expansion. As…

Soft Condensed Matter · Physics 2021-05-03 Davide Breoni , Michael Schmiedeberg , Hartmut Löwen

We explore the changes in static structure of a two-dimensional system of active Brownian particles (ABP) with hard-disk interactions, using event-driven Brownian dynamics simulations. In particular, the effect of the self-propulsion…

Statistical Mechanics · Physics 2017-12-27 Nadine de Macedo Biniossek , Hartmut Löwen , Thomas Voigtmann , Frank Smallenburg

Active matter concerns the self-organization of energy consuming elements such as motile bacteria or self-propelled colloids. A canonical example is an active Brownian particle (ABP) that moves at constant speed while its direction of…

Statistical Mechanics · Physics 2023-06-21 Paul C Bressloff

Run-and-tumble particles (RTPs) have emerged as a paradigmatic example for studying nonequilibrium phenomena in statistical mechanics. The invariant measure of a wide class of RTPs subjected to a potential possesses a density that is…

Statistical Mechanics · Physics 2025-11-24 Leo Hahn