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We investigate the emergence of cohesive flocking in open, boundless space using a multi-agent reinforcement learning framework. Agents integrate positional and orientational information from their closest topological neighbours and learn…

软凝聚态物质 · 物理学 2026-02-02 Martino Brambati , Antonio Celani , Marco Gherardi , Francesco Ginelli

Fish, birds, insects and robots frequently swim or fly in groups. During their 3 dimensional collective motion, these agents do not stop, they avoid collisions by strong short-range repulsion, and achieve group cohesion by weak long-range…

软凝聚态物质 · 物理学 2018-07-04 Illes J. Farkas , Shuo-Hong Wang

We simulate the Vicsek model utilising topological neighbour interactions and estimate information theoretic quantities as a function of noise, the variability in the extent to which each animal aligns with its neighbours, and the flock…

统计力学 · 物理学 2018-09-12 Joshua Brown , Terry Bossomaier , Lionel Barnett

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

统计力学 · 物理学 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

The main result of this paper is proving the stability of translating states (flocking states) for the system of $n$-coupled self-propelled agents governed by $\ddot r_k = (1-|\dot r_k|^2)\dot r_k - \frac{1}{n}\sum_{j=1}^n(r_k-r_j)$,…

动力系统 · 数学 2024-07-17 Irina Popovici

This work introduces a new theoretical model for active matter ("complementary-spins" or c-spins), exploring the interplay of positional and orientational order in mobile agents with rotational freedom, divided into two populations with…

软凝聚态物质 · 物理学 2025-11-20 Alessandro Scirè

We consider flocking of self-propelling agents in two dimensions, each of which communicates with its neighbors within a limited vision cone. Also, the communication occurs with some delay. The communication among the agents are modeled by…

软凝聚态物质 · 物理学 2018-03-13 Mihir Durve , Arnab Saha , Ahmed Sayeed

We study a model for the collective behavior of self-propelled particles subject to pairwise copying interactions and noise. Particles move at a constant speed $v$ on a two--dimensional space and, in a single step of the dynamics, each…

物理与社会 · 物理学 2021-09-15 Ernesto S. Loscar , Gabriel Baglietto , Federico Vazquez

A model of self-driven particles similar to the Vicsek model [Phys. Rev. Lett. 75 (1995) 1226] but with metric-free interactions is studied by means of a novel Enskog-type kinetic theory. In this model, N particles of constant speed v0 try…

统计力学 · 物理学 2012-08-21 Yen-Liang Chou , Rylan Wolfe , Thomas Ihle

The aim of the present paper is to elucidate the transition from collective to random behavior exhibited by various mathematical models of bird flocking. In particular, we compare Vicsek's model [Viscek et al., Phys. Rev. Lett. 75, 1226 --…

适应与自组织系统 · 物理学 2015-06-17 H. Christodoulidi , K. van der Weele , Ch. G. Antonopoulos , T. Bountis

A variant of the well known Vicsek model of the collective motion of a group of agents has been studied where the range of interactions are spatially quenched and non-overlapping. To define such interactions, the underlying two dimensional…

统计力学 · 物理学 2019-07-24 Biplab Bhattacherjee , S. S. Manna

We study a binary metric-free Vicsek model involving two species of self-propelled particles aligning with their Voronoi neighbors, focusing on a weakly nonreciprocal regime, where species $A$ aligns with both $A$ and $B$, but species $B$…

软凝聚态物质 · 物理学 2025-04-04 Tian Tang , Yu Duan , Yu-qiang Ma

Flocking phase transitions found in models of polar active matter are paradigmatic examples of active phase transitions in soft matter. An interesting specialization of flocking models concerns a ``topological'' vs ``metric'' choice by…

软凝聚态物质 · 物理学 2024-09-10 Charles R. Packard , Daniel M. Sussman

A one-dimensional rule-based model for flocking, that combines velocity alignment and long-range centering interactions, is presented and studied. The induced cohesion in the collective motion of the self-propelled agents leads to a unique…

统计力学 · 物理学 2015-01-19 V. Dossetti

Understanding collective self-organization in active matter, such as bird flocks and fish schools, remains a grand challenge in physics. Interactions that induce alignment are essential for flocking; however, alignment alone is generally…

软凝聚态物质 · 物理学 2025-07-01 Julian Giraldo-Barreto , Viktor Holubec

Many systems in nature, from ferromagnets to flocks of birds, exhibit ordering phenomena on the large scale. In physical systems order is statistically robust for large enough dimensions, with relative fluctuations due to noise vanishing…

统计力学 · 物理学 2017-04-05 Andrea Cavagna , Irene Giardina , Asja Jelic , Edmondo Silvestri , Massimiliano Viale

Collective behavior in biological systems was first captured by the Vicsek model, in which particles align their velocities in the average direction of neighbors, leading to coherent motion and showing an order-disorder transition. However,…

软凝聚态物质 · 物理学 2026-02-26 Mohit Gaur , Arnab Saha , Subhajit Paul

A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be…

统计力学 · 物理学 2010-01-05 Guillaume Gregoire , Hugues Chate , Yuhai Tu

The Vicsek model encompasses the paradigm of active dry matter. Motivated by collective behavior of insects in swarms, we have studied finite size effects and criticality in the three dimensional, harmonically confined Vicsek model. We have…

统计力学 · 物理学 2023-01-18 R. González-Albaladejo , A. Carpio , L. L. Bonilla

Physical interactions generally respect certain symmetries, such as reciprocity and energy conservation, which survive in coarse grained isothermal descriptions. Active many-body systems usually break such symmetries intrinsically, on the…

软凝聚态物质 · 物理学 2022-08-31 Daniel Geiß , Klaus Kroy , Viktor Holubec
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