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The physics of activated escape of objects out of a metastable state plays a key role in diverse scientific areas involving chemical kinetics, diffusion and dislocation motion in solids, nucleation, electrical transport, motion of flux…

Adaptation and Self-Organizing Systems · Physics 2016-08-08 D. Hennig , C. Mulhern , L. Schimansky-Geier , G. P. Tsironis , P. Hänggi

A large variety of microorganisms produce molecules to communicate via complex signaling mechanisms such as quorum sensing and chemotaxis. The biological diversity is enormous, but synthetic inanimate colloidal microswimmers mimic…

Soft Condensed Matter · Physics 2019-10-01 Jens Grauer , Hartmut Löwen , Avraham Be'er , Benno Liebchen

Efficient navigation and precise localization of Brownian micro/nano self-propelled motor particles within complex landscapes could enable future high-tech applications involving for example drug delivery, precision surgery, oil recovery,…

Soft Condensed Matter · Physics 2020-02-18 Yuguang Yang , Michael A. Bevan , Bo Li

We study the single-file dynamics of three classes of active particles: run-and-tumble particles, active Brownian particles and active Ornstein-Uhlenbeck particles. At high activity values, the particles, interacting via purely repulsive…

Statistical Mechanics · Physics 2020-09-08 Pritha Dolai , Arghya Das , Anupam Kundu , Chandan Dasgupta , Abhishek Dhar , K. Vijay Kumar

Swarming of animal groups enthralls scientists in fields ranging from biology to physics to engineering. Complex swarming patterns often arise from simple interactions between individuals to the benefit of the collective whole. The…

Biological Physics · Physics 2017-09-08 Glenn Palmer , Sho Yaida

The aim of this paper is to discuss the mathematical modeling of Brownian active particle systems, a recently popular paradigmatic system for self-propelled particles. We present four microscopic models with different types of repulsive…

Statistical Mechanics · Physics 2022-05-31 M. Bruna , M. Burger , A. Esposito , S. M. Schulz

Behavioural cloning is an imitation learning technique that teaches an agent how to behave via expert demonstrations. Recent approaches use self-supervision of fully-observable unlabelled snapshots of the states to decode state pairs into…

Machine Learning · Computer Science 2023-04-24 Juarez Monteiro , Nathan Gavenski , Felipe Meneguzzi , Rodrigo C. Barros

Clustering is one of the mayor collective phenomena observed in active matter. We study the overdamped motion of interacting active Brownian particles in two dimensions. An instability in the pair correlation function causes the onset of…

Soft Condensed Matter · Physics 2024-03-18 Rüdiger Kürsten

We investigate the behaviour of a finite chain of Brownian particles, interacting through a pairwise quadratic potential, with one end of the chain fixed and the other end pulled away at slow speed, in the limit of slow speed and small…

Probability · Mathematics 2019-12-12 Frank Aurzada , Volker Betz , Mikhail Lifshits

We study analytically how noninteracting weakly active particles, for which passive Brownian diffusion cannot be neglected and activity can be treated perturbatively, distribute and behave near boundaries in various geometries. In…

Soft Condensed Matter · Physics 2021-05-05 Michael Wang

Repulsive self-propelled particles tend to cluster, leading to Motility-Induced Phase Separation (MIPS). By analogy with equilibrium phase separation, the onset of MIPS has been associated with a transition to effective attraction between…

Statistical Mechanics · Physics 2026-05-05 Rosalba Garcia-Millan , Luca Cocconi , Ziluo Zhang , Marius Bothe , Letian Chen , Zigan Zhen , Gunnar Pruessner

We study the long-range asymptotic behavior for an out-of-equilibrium countable one-dimensional system of Brownian particles interacting through their rank-dependent drifts. Focusing on the semi-infinite case, where only the leftmost…

Probability · Mathematics 2017-08-10 Manuel Cabezas , Amir Dembo , Andrey Sarantsev , Vladas Sidoravicius

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 propose a new computational-level objective function for theoretical biology and theoretical neuroscience that combines: reinforcement learning, the study of learning with feedback via rewards; rate-distortion theory, a branch of…

Neurons and Cognition · Quantitative Biology 2025-03-21 Sarah Marzen

In equilibrium, colloidal suspensions governed by short-range attractive and long-range repulsive interactions form thermodynamically stable clusters. Using Brownian dynamics computer simulations, we investigate how this equilibrium…

Soft Condensed Matter · Physics 2015-09-30 Ethayaraja Mani , Hartmut Löwen

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

Through evolution, bacteria have developed the ability to perform chemotactic motion in order to find nourishment. By adopting a machine learning approach, we aim to understand how this behavior arises. We consider run-and-tumble agents…

Soft Condensed Matter · Physics 2026-01-13 Nicholas Tovazzi , Gorka Muñoz-Gil , Michele Caraglio

We present a theory of chemokinetic search agents that regulate directional fluctuations according to distance from a target. A dynamic scattering effect reduces the probability to penetrate regions with high fluctuations and thus search…

Biological Physics · Physics 2020-03-25 Justus A. Kromer , Noelia de la Cruz , Benjamin M. Friedrich

We study the polar collective dynamics of Janus colloidal particles fueled by an AC electric field. When the density is high enough, the polar interactions between the particles induce a polar orientationally ordered state which exhibits…

Statistical Mechanics · Physics 2021-11-22 Junichiro Iwasawa , Daiki Nishiguchi , Masaki Sano

An active colloid is a suspension of particles that transduce free energy from their environment and use the energy to engage in intrinsically non-equilibrium activities such as growth, replication and self-propelled motility. An obvious…

Soft Condensed Matter · Physics 2013-06-21 W C K Poon