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We study interacting active Brownian particles (ABPs) with a space-dependent swim velocity via simulation and theory. We find that, although an equation of state exists, a mechanical equilibrium does not apply to ABPs in activity…

Soft Condensed Matter · Physics 2024-12-13 Adam Wysocki , Anil K. Dasanna , Heiko Rieger

The effect of curvature on an ensemble of repulsive active Brownian particles (ABPs) moving on a spherical surface is studied. Surface curvature strongly affects the dynamics of ABPs, as it introduces a new time scale $\tau=R/v_0$, with…

Soft Condensed Matter · Physics 2024-06-04 Priyanka Iyer , Roland G. Winkler , Dmitry A. Fedosov , Gerhard Gompper

Random backpropagation (RBP) is a variant of the backpropagation algorithm for training neural networks, where the transpose of the forward matrices are replaced by fixed random matrices in the calculation of the weight updates. It is…

Machine Learning · Computer Science 2017-12-25 Pierre Baldi , Peter Sadowski , Zhiqin Lu

We study experimentally, numerically and analytically, the dynamics of a chiral active particle (cm-sized robots), pulled at a constant translational velocity. We show that the system can be mapped to a Brownian particle driven across a…

Statistical Mechanics · Physics 2025-06-26 Juan Pablo Carrillo-Mora , Adrià Garcés , Demian Levis

We give an overview over recent studies on the model of Active Brownian Motion (ABM) coupled to reservoirs providing free energy which may be converted into kinetic energy of motion. First, we present an introduction to a general concept of…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Alessandro Fiasconaro , Werner Ebeling , Ewa Gudowska-Nowak

Many active particles are embedded in environments that exhibit viscoelastic properties. An important class of such media lacks a single characteristic relaxation timescale when subjected to a time-dependent stress. Rather, the stress…

Soft Condensed Matter · Physics 2025-12-24 David Santiago Quevedo , Monica Conte , Marjolein Dijkstra , Cristiane Morais Smith

After summarizing basic features of self-organization such as entropy export, feedbacks and nonlinear dynamics, we discuss several examples in biology. The main part of the paper is devoted to a model of active Brownian motion that allows a…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling , Frank Schweitzer

How do humans and animals perform trial-and-error learning when the space of possibilities is infinite? In a previous study, we used an interval timing production task and discovered an updating strategy in which the agent adjusted the…

Neurons and Cognition · Quantitative Biology 2022-05-10 Jing Wang , Yousuf El-Jayyousi , Ilker Ozden

Lateral inhibition models coupled with Hebbian plasticity have been shown to learn factorised causal representations of input stimuli, for instance, oriented edges are learned from natural images. Currently, these models require the…

Neurons and Cognition · Quantitative Biology 2025-01-07 Henrique Reis Aguiar , Matthias H. Hennig

Understanding stochastic thermodynamics of active Brownian particles (ABPs) system has been an important topic in very recent years. In this article we study a general model of active Brownian particle systems by introducing a…

Statistical Mechanics · Physics 2022-05-11 Zhiyu Cao , Jie Su , Huijun Jiang , Zhonghuai Hou

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

Drawing inspiration from swarm intelligence, we show that short-range attractive interactions between thermally driven Brownian quasiparticles enable energy-efficient optimization. As quasiparticles can be generated directly within a…

Statistical Mechanics · Physics 2026-02-02 Alessandro Pignedoli , Atreya Majumdar , Karin Everschor-Sitte

We employ deep reinforcement learning methods to investigate shortest-time navigation strategies for smart active Brownian particles (microagents), which self-propel through a rotating potential barrier in a static, viscous, fluid…

Soft Condensed Matter · Physics 2025-03-11 Mohammad Hossein Masoudi , Ali Naji

Models that can simulate how environments change in response to actions can be used by agents to plan and act efficiently. We improve on previous environment simulators from high-dimensional pixel observations by introducing recurrent…

Artificial Intelligence · Computer Science 2017-04-20 Silvia Chiappa , Sébastien Racaniere , Daan Wierstra , Shakir Mohamed

We demonstrate a machine learning based approach which can learn the time-dependent electronic excitation dynamics of small molecules subjected to ion irradiation. Ensembles of recurrent neural networks are trained on data generated by…

Chemical Physics · Physics 2024-09-24 Ethan P. Shapera , Cheng-Wei Lee

The processing of information is an indispensable property of living systems realized by networks of active processes with enormous complexity. They have inspired many variants of modern machine learning one of them being reservoir…

Soft Condensed Matter · Physics 2023-07-28 Xiangzun Wang , Frank Cichos

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

Active matter physics and swarm robotics have provided powerful tools for the study and control of ensembles driven by internal sources. At the macroscale, controlling swarms typically utilizes significant memory, processing power, and…

The non-thermal nature of self-propelling colloids offers new insights into non-equilibrium physics. The central mathematical model to describe their trajectories is active Brownian motion, where a particle moves with a constant speed,…

We present a mode-coupling theory (MCT) for the high-density dynamics of two-dimensional spherical active Brownian particles (ABP). The theory is based on the integration-through-transients (ITT) formalism and hence provides a starting…

Soft Condensed Matter · Physics 2017-12-20 Alexander Liluashvili , Jonathan Onody , Thomas Voigtmann
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