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We consider stochastic systems of interacting particles or agents, with dynamics determined by an interaction kernel which only depends on pairwise distances. We study the problem of inferring this interaction kernel from observations of…

Statistics Theory · Mathematics 2020-07-31 Fei Lu , Mauro Maggioni , Sui Tang

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

Behavior cloning of expert demonstrations can speed up learning optimal policies in a more sample-efficient way over reinforcement learning. However, the policy cannot extrapolate well to unseen states outside of the demonstration data,…

Machine Learning · Computer Science 2022-10-19 Jung Yeon Park , Lawson L. S. Wong

Controllable Markov chains describe the dynamics of sequential decision making tasks and are the central component in optimal control and reinforcement learning. In this work, we give the general form of an optimal policy for learning…

Machine Learning · Computer Science 2025-12-24 Peter N. Loxley

We investigate the behaviour of a chain of interacting Brownian particles with one end fixed and the other moving away at slow speed, in the limit of small noise. The interaction between particles is through a pairwise potential with finite…

Probability · Mathematics 2010-07-20 Michael Allman , Volker Betz , Martin Hairer

Empowerment is an information-theoretic method that can be used to intrinsically motivate learning agents. It attempts to maximize an agent's control over the environment by encouraging visiting states with a large number of reachable next…

Machine Learning · Computer Science 2020-01-09 Felix Leibfried , Sergio Pascual-Diaz , Jordi Grau-Moya

We study the evolution of cooperation among selfish individuals in the stochastic strategy spatial prisoner's dilemma game. We equip players with the particle swarm optimization technique, and find that it may lead to highly cooperative…

Physics and Society · Physics 2011-12-30 Jianlei Zhang , Chunyan Zhang , Tianguang Chu , Matjaz Perc

Three basic factors govern the individual behaviour of a particle: the inertia from its previous displacement; the attraction to its own best experience; and the attraction to a given neighbour's best experience. The importance awarded to…

Physics and Society · Physics 2021-01-28 Johann Sienz , Mauro S. Innocente

Chemically active Brownian particles with surface catalytic reactions may repel each other due to diffusiophoretic interactions in the reaction and product concentration fields. The system behavior can be described by a `chemical' coupling…

Soft Condensed Matter · Physics 2017-12-04 Wen Yan , John F. Brady

We present a Brownian dynamics study of a 2d bath of active particles interacting among each other through usual steric interactions and, additionally, via non-reciprocal avoidant orientational interactions. We motivate them by the fact…

Soft Condensed Matter · Physics 2022-10-24 Milos Knezevic , Till Welker , Holger Stark

Active Brownian particles, even without attractive and anisotropic inter-particle interactions, can form a high-density phase featuring structure-ordered domains as well as collective motion regions under thermal noise. However, the…

Soft Condensed Matter · Physics 2026-01-14 Cheng Yang , Qiandong Dai , Shun Xu , Xin Zhou

We present an efficient method to perform overdamped Brownian dynamics simulations in external force fields and for particle interactions that include a hardcore part. The method applies to particle motion in one dimension, where it is…

Statistical Mechanics · Physics 2026-02-23 Alexander P. Antonov , Sören Schweers , Artem Ryabov , Philipp Maass

The steady state and phase ordering kinetics in a pure active Borwnian particle system are studied in recent years. In binary mixture of active and passive Brownian particles passive particles are used as probe to understand the properties…

Soft Condensed Matter · Physics 2021-08-23 Shambhavi Dikshit , Shradha Mishra

We apply a reinforcement learning algorithm to show how smart particles can learn approximately optimal strategies to navigate in complex flows. In this paper we consider microswimmers in a paradigmatic three-dimensional case given by a…

Fluid Dynamics · Physics 2018-04-30 K. Gustavsson , L. Biferale , A. Celani , S. Colabrese

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

We study the one-dimensional motion of a Brownian particle inside a confinement described by two reactive boundaries which can partially reflect or absorb the particle. Understanding the effects of such boundaries is important in physics,…

Statistical Mechanics · Physics 2021-03-30 Arnab Pal , Isaac Pérez Castillo , Anupam Kundu

We study the dynamics of the outliers for a large number of independent Brownian particles in one dimension. We derive the multi-time joint distribution of the position of the rightmost particle, by two different methods. We obtain the two…

Statistical Mechanics · Physics 2023-09-01 Pierre Le Doussal

We study the first-passage-time (FPT) properties of active Brownian particles to reach an absorbing wall in two dimensions. Employing a perturbation approach we obtain exact analytical predictions for the survival and FPT distributions for…

Soft Condensed Matter · Physics 2025-03-10 Yanis Baouche , Magali Le Goff , Christina Kurzthaler , Thomas Franosch

Taking inspiration from the crawling motion of biological cells on a substrate, we consider a physical model of self-propulsion where the spatio-temporal driving can involve both, a mechanical actuation by active force couples, and a…

Soft Condensed Matter · Physics 2024-05-16 Pierre Recho , Lev Truskinovsky

Synthetic active matter systems, such as active colloids, often have complex interactions, which can be of hydrodynamic, chemical or electrostatic origin and cannot be computed from first principles. Here, we use Stochastic Force Inference…

Soft Condensed Matter · Physics 2025-09-26 Jérôme Hem , Alexis Poncet , Pierre Ronceray , Daiki Nishiguchi , Vincent Démery