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Active Brownian particles (ABPs) are a model for nonequilibrium systems in which the constituent particles are self-propelled in addition to their Brownian motion. Compared to the well-studied mean first passage time (MFPT) of passive…

Analysis of PDEs · Mathematics 2024-10-16 Sarafa Adewale Iyaniwura , Zhiwei Peng

Controlled activity of active entities interacting with a passive environment can generate emergent system-level phenomena, positioning such systems as promising platforms for potential downstream applications in targeted drug delivery,…

Soft Condensed Matter · Physics 2025-10-07 Thomas Jacob , Siddhant Mohapatra , Rajalingam A , Sam Mathew , Pallab Sinha Mahapatra

We model a binary mixture of passive and active Brownian particles in two dimensions using the effective interaction between passive particles in the active bath. The activity of active particles and the size ratio of two types of particles…

Soft Condensed Matter · Physics 2022-06-15 Jay Prakash Singh , Sudipta Pattanayak , Shradha Mishra , Jaydeb Chakrabarti

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

An active Brownian particle is a minimal model for a self-propelled colloid in a dissipative environment. Experiments and simulations show that, in the presence of boundaries and obstacles, active Brownian particle systems approach…

Soft Condensed Matter · Physics 2024-01-17 Caleb G. Wagner , Michael F. Hagan , Aparna Baskaran

We study the dynamical properties of an active particle subject to a swimming speed explicitly depending on the particle position. The oscillating spatial profile of the swim velocity considered in this paper takes inspiration from…

Soft Condensed Matter · Physics 2022-03-15 Lorenzo Caprini , Umberto Marini Bettolo Marconi , René Wittmann , Hartmut Löwen

Pursuing a drifting target in a turbulent flow is an extremely difficult task whenever the searcher has limited propulsion and maneuvering capabilities. Even in the case when the relative distance between pursuer and target stays below the…

Fluid Dynamics · Physics 2023-10-02 Chiara Calascibetta , Luca Biferale , Francesco Borra , Antonio Celani , Massimo Cencini

We consider two systems of active swimmers moving close to a solid surface, one being a living population of wild-type \textit{E. coli} and the other being an assembly of self-propelled Au-Pt rods. In both situations, we have identified two…

We study here the extreme statistics of Brownian particles escaping from a cusp funnel: the fastest Brownian particles among $n$ follow an ensemble of optimal trajectories located near the shortest path from the source to the target. For…

Statistical Mechanics · Physics 2020-04-22 K. Basnayake , D. Holcman

We present a comprehensive computational study of the collective behavior emerging from the competition between self-propulsion, excluded volume interactions and velocity-alignment in a two-dimensionnal model of active particles. We…

Soft Condensed Matter · Physics 2018-01-08 Aitor Martín-Gómez , Demian Levis , Albert Díaz-Guilera , Ignacio Pagonabarraga

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

In this work we have characterized the phase behaviour and the dynamics of bidimensional mixtures of active and passive Brownian particles. We have evaluated state diagrams at several concentrations of the passive components finding that,…

Soft Condensed Matter · Physics 2025-11-12 Diego Rogel Rodriguez , Francisco Alarcon , Raul Martinez , Jorge Ramirez , Chantal Valeriani

Active Brownian particles (ABPs) function as self-driving agents that display non-equilibrium behavior through their pairwise interactions which lead to phase separation and vortex patterns in both soft matter and living systems. A…

Soft Condensed Matter · Physics 2025-09-09 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

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

In nature, many unicellular organisms are able to swim with the help of beating filaments, where local energy input leads to cooperative undulatory beating motion. Here, we investigate by employing reinforcement learning how undulatory…

Biological Physics · Physics 2025-11-04 Fumiya Tokoro , Hideki Takayama , Shinji Deguchi , Andreas Zöttl , Daiki Matsunaga

We consider one-dimensional systems comprising either active run-and-tumble particles (RTPs) or passive Brownian random walkers. These particles are either noninteracting or have hardcore exclusions. We study the dynamics of a single tracer…

Statistical Mechanics · Physics 2022-02-11 Tirthankar Banerjee , Robert L. Jack , Michael E. Cates

Efficient search acts as a strong selective force in biological systems ranging from cellular populations to predator-prey systems. The search processes commonly involve finding a stationary or mobile target within a heterogeneously…

Biological Physics · Physics 2018-01-03 Youness Azimzade , Alireza Mashaghi

The escape of a Brownian particle over a dichotomously fluctuating barrier is investigated for various shapes of the barrier. The problem of resonant activation is revisited with the attention on the effect of the barrier shape on optimal…

Statistical Mechanics · Physics 2009-11-07 Bartlomiej Dybiec , Ewa Gudowska-Nowak

Rapidly generating an optimal chasing motion of a drone to follow a dynamic target among obstacles is challenging due to numerical issues rising from multiple conflicting objectives and non-convex constraints. This study proposes to resolve…

Robotics · Computer Science 2021-12-14 Boseong Felipe Jeon , Changhyeon Kim , Hojoon Shin , H. Jin Kim
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