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The collective properties of a binary mixture of A- and B-type self-steering particles endowed with visual perception are studied by computer simulations. Active Brownian particles are employed with an additional steering mechanism, which…

Soft Condensed Matter · Physics 2026-05-29 Rajendra Singh Negi , Roland G. Winkler , Gerhard Gompper

Living organisms have developed advanced motion strategies for efficient space exploration, serving as inspiration for the movements of microrobots. These real-life strategies often involve anomalous dynamics displaying random movement…

Soft Condensed Matter · Physics 2025-11-06 Alessia Gentili , Rainer Klages , Giorgio Volpe

Microswimmers often exhibit surprising patterns due to the nonequilibrium nature of their dynamics. Collectively, suspensions of microswimmers appear as a liquid whose properties set it apart from its passive counterpart. To understand the…

Soft Condensed Matter · Physics 2019-05-22 Fabian Jan Schwarzendahl , Marco G. Mazza

Cell migration often exhibits long-range temporal correlations and anomalous diffusion, even in the absence of external guidance cues such as chemical gradients or topographical constraints. These observations raise a fundamental question:…

Quantitative Methods · Quantitative Biology 2025-11-25 Gustavo Cornejo-Olea , Lucas Buvinic , Jerome Darbon , Radek Erban , Andrea Ravasio , Anastasios Matzavinos

We investigate the influence of external forces on the collective dynamics of interacting active Brownian particles in two as well as three spatial dimensions. Via explicit coarse graining, we derive predictive models that are applicable…

Soft Condensed Matter · Physics 2022-02-10 Jens Bickmann , Stephan Bröker , Raphael Wittkowski

Using Brownian dynamics simulations, the motion of active Brownian particles (ABPs) in the presence of fuel (or 'food') sources is studied. It is an established fact that within confined stationary systems, the activity of ABPs generates…

Biological Physics · Physics 2020-07-01 Holger Merlitz , Hidde Derk Vuijk , Rene Wittmann , Abhinav Sharma , Jens-Uwe Sommer

We investigate a trapping mechanism for passive Brownian particles based on mixtures with self-propelled dipolar colloids. Active dipoles, whose magnetic moment is oriented perpendicularly to their propulsion direction, spontaneously form…

Soft Condensed Matter · Physics 2025-09-18 Arnaud Compagnie , Nicolas Vandewalle , Eric Opsomer

In this paper, we consider the dynamics of a 2D target-searching agent performing Brownian motion under the influence of fluid shear flow and chemical attraction. The analysis is motivated by numerous situations in biology where these…

Probability · Mathematics 2022-05-31 Yishu Gong , Siming He , Alexander Kiselev

In noisy environments such as the cell, many processes involve target sites that are often hidden or inactive, and thus not always available for reaction with diffusing entities. To understand reaction kinetics in these situations, we study…

Statistical Mechanics · Physics 2020-01-29 Gabriel Mercado-Vásquez , Denis Boyer

Swimming micro-organisms such as flagellated bacteria and sperm cells have fascinating locomotion capabilities. Inspired by their natural motion, there is an ongoing effort to develop artificial robotic nano-swimmers for potential in-body…

Fluid Dynamics · Physics 2023-05-31 Jithu Paul , Yizhar Or , Oleg Gendelman

As a main example for the superstatistics approach, we study a Brownian particle moving in a d-dimensional inhomogeneous environment with macroscopic temperature fluctuations. We discuss the average occupation time of the particle in…

Statistical Mechanics · Physics 2009-11-11 Christian Beck

Tracking Brownian particles is often employed to map the energy landscape they explore. Such measurements have been exploited to study many biological processes and interactions in soft materials. Yet, video tracking is irremediably…

Soft Condensed Matter · Physics 2018-08-01 Michał Bogdan , Thierry Savin

We explore the relation between active Brownian particles, a minimal particle-based model for active matter, and scalar field theories. Both show a liquid-gas-like phase transition towards stable coexistence of a dense liquid with a dilute…

Statistical Mechanics · Physics 2022-11-08 Thomas Speck

Reinforcement learning in sparse-reward navigation environments with expensive and limited interactions is challenging and poses a need for effective exploration. Motivated by complex navigation tasks that require real-world training (when…

Optimization and Control · Mathematics 2023-10-13 Yijia Wang , Matthias Poloczek , Daniel R. Jiang

Microswimmers in turbulent flows often navigate complex, heterogeneous, and obstacle-rich environments, where they exhibit intricate behaviors such as trapping at and escape from obstacles. We generalize recent $\mathcal{Q}-$learning…

Fluid Dynamics · Physics 2026-04-14 Vaishnavi Gajendragad , Akanksha Gupta , Nadia Bihari Padhan , Rahul Pandit

Self-propelled microparticles create flow fields that determine how they interact with surfaces, external flows, and each other. These flow fields fall into distinct classes--pushers, pullers, and neutral swimmers--each exhibiting…

Soft Condensed Matter · Physics 2025-12-25 Lisa Rohde , Gordei Anchutkin , Viktor Holubec , Frank Cichos

We analyze predator-prey dynamics in one dimension in which a Brownian predator adopts a chasing strategy that consists in stochastically resetting its current position to locations previously visited by a diffusive prey. We study three…

Disordered Systems and Neural Networks · Physics 2019-12-05 J. Quetzalcoatl Toledo-Marin , Denis Boyer , Francisco J. Sevilla

We study the noise-driven escape of active Brownian particles (ABPs) and run-and-tumble particles (RTPs) from confining potentials. In the small noise limit, we provide an exact expression for the escape rate in term of a variational…

Soft Condensed Matter · Physics 2019-07-03 Eric Woillez , Yongfeng Zhao , Yariv Kafri , Vivien Lecomte , Julien Tailleur

The general problem of tracer diffusion in non-equilibrium baths is important in a wide range of systems, from the cellular level to geographical lengthscales. In this paper, we revisit the archetypical example of such a system: a…

Soft Condensed Matter · Physics 2023-11-08 Henrik Nordanger , Alexander Morozov , Joakim Stenhammar

Micro-robots for, e.g., biomedical applications, need to be equipped with motility strategies that enable them to navigate through complex environments. Inspired by biological microorganisms we recreate motility patterns such as…

Soft Condensed Matter · Physics 2023-11-13 Christoph Lohrmann , Christian Holm