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Related papers: Binary Mixtures of Intelligent Active Brownian Par…

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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

We consider the collective motion of finite-sized, overdamped Brownian particles (e.g., motor proteins) in a periodic potential. Simulations of our model have revealed a number of novel cooperative transport phenomena, including (i) the…

Statistical Mechanics · Physics 2009-10-31 Imre Derenyi , Tamas Vicsek

We study the collective behavior of binary mixture of self-propelled particles. Particles moves along their heading direction with {\it variable speed} and interact through short range alignment interaction. A variable speed parameter…

Soft Condensed Matter · Physics 2020-04-22 Jay Prakash Singh , Shradha Mishra

We derive equations of motion for the mean-squared displacement (MSD) of an active Brownian particle (ABP) in a crowded environment modeled by a dense system of passive Brownian particles, and of a passive tracer particle in a dense…

Soft Condensed Matter · Physics 2021-07-27 Julian Reichert , Thomas Voigtmann

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 particle systems are a class of non-equilibrium systems composed of self-propelled Brownian particles; through interactions between particles within the system, a variety of intriguing collective behaviors can emerge. Based on…

Soft Condensed Matter · Physics 2025-09-25 Sihang Guo , Guangyu Yang , Guoqing Meng , Yingying Wang , Junxing Pan , Jinjun Zhang

We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purely non-equilibrium stochastic forces correlated with the…

Statistical Mechanics · Physics 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

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…

Active Brownian particles (ABPs) and Run-and-Tumble particles (RTPs) both self-propel at fixed speed $v$ along a body-axis ${\bf u}$ that reorients either through slow angular diffusion (ABPs) or sudden complete randomisation (RTPs). We…

Statistical Mechanics · Physics 2015-10-12 A. P. Solon , M. E. Cates , J. Tailleur

We measured the overall motion of Brownian particles suspended in water by a self-mixing thin-slice solid-state laser with extreme optical sensitivity. From the demodulated signal of laser intensity fluctuations through self-mixing…

We consider two species of self-propelled point particles: A-particles and B-particles. The orientations between nearby particles are subject to pair interactions of different strength for A-A-, A-B-(=B-A-) and B-B-interactions,…

Soft Condensed Matter · Physics 2023-04-13 Rüdiger Kürsten , Jakob Mihatsch , Thomas Ihle

We numerically investigate the diffusive behavior of active Brownian particles in a two-dimensional confined channel filled with soft obstacles, whose softness is controlled by a parameter $K$. Here, active particles are subjected to…

Soft Condensed Matter · Physics 2024-10-22 Ankit Gupta , P. S. Burada

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

We examine the behavior of $n$ Brownian particles diffusing on the real line with bounded, measurable drift and bounded, piecewise continuous diffusion coefficients that depend on the current configuration of particles. Sufficient…

Probability · Mathematics 2010-10-19 Tomoyuki Ichiba , Ioannis Karatzas

Block copolymer melts offer a unique template to control the position and alignment of nanoparticles due to their ability to self-assemble into periodic ordered structures. Active Brownian particles are shown to co-assemble with block…

Soft Condensed Matter · Physics 2024-03-14 Javier Diaz , Ignacio Pagonabarraga

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

Soft Condensed Matter · Physics 2019-09-10 Narender Khatri , P. S. Burada

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…

Active particles, which are self-propelled nonequilibrium systems, are modelled by overdamped Langevin equations with colored noise, emulating the self-propulsion. In this chapter, we present a review of the theoretical results for the…

Statistical Mechanics · Physics 2025-03-12 Urna Basu , Sanjib Sabhapandit , Ion Santra

The influence of an external field acting differently on the two constituents of a binary colloidal mixture performing Brownian dynamics is investigated by computer simulations and a simple theory. In our model, one half of the particles…

Soft Condensed Matter · Physics 2009-11-07 J. Dzubiella , H. Loewen

By studying a system of Brownian particles, interacting only through a local social-like force (velocity alignment), we show that self-propulsion is not a necessary feature for the flocking transition to take place as long as underdamped…

Statistical Mechanics · Physics 2015-07-31 Victor Dossetti , Francisco J. Sevilla