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Collective behaviors such as swarming and flocking emerge from simple, decentralized interactions in biological systems. Existing models, such as Vicsek and Cucker-Smale, lack collision avoidance, whereas the Olfati-Saber model imposes…

Robotics · Computer Science 2025-08-14 Hossein B. Jond

Collective motion is a fundamental phenomenon in biological swarms. As a framework for studying synchronization in motions, the Vicsek model is simple and efficient, assuming isotropic interactions with a complete field of view. Drawing…

Physics and Society · Physics 2025-12-23 Haoshuai Wang , Zhaoqi Dong , Lei Chen

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…

Statistical Mechanics · Physics 2018-09-12 Joshua Brown , Terry Bossomaier , Lionel Barnett

Collective behavior in animals has long been modeled through self-propelled particle models, which reproduce striking group-level phenomena through abstract interaction forces. Yet these models are fundamentally descriptive: they leave open…

Robotics · Computer Science 2026-05-19 Vito Mengers , Bao Duc Cao , Oliver Brock

In collective motion, perceptually-limited individuals move in an ordered manner, without centralized control. The perception of each individual is highly localized, as is its ability to interact with others. While natural collective motion…

Robotics · Computer Science 2025-12-30 Peleg Shefi , Amir Ayali , Gal A. Kaminka

The goal of the present work is to propose an agent-based model that originally combines classical Vicsek-like polarity alignments and contact forces, as implemented in the framework developed by Maury and Venel in [Maury, Venel, 2011]. The…

Numerical Analysis · Mathematics 2026-04-08 Laurent Navoret , Roxana Sublet , Marcela Szopos

Collective motion in animal groups provide examples of emergent, decentralised coordination. Here, we examine a bottom-up model of collective behavior based on Future State Maximisation (FSM). In this model agents seek to maximise the…

Physics and Society · Physics 2026-01-22 Sam Turley , Matthew Turner

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 --…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 H. Christodoulidi , K. van der Weele , Ch. G. Antonopoulos , T. Bountis

Maximum-entropy ensembles are key primitives in statistical mechanics from which thermodynamic properties can be derived. Over the decades, several approaches have been put forward in order to justify from minimal assumptions the use of…

Quantum Physics · Physics 2018-03-13 Paul Boes , Henrik Wilming , Jens Eisert , Rodrigo Gallego

Biological swarms, such as ant colonies, achieve collective goals through decentralized and stochastic individual behaviors. Similarly, physical systems composed of gases, liquids, and solids exhibit random particle motion governed by…

Robotics · Computer Science 2025-11-11 Lianhao Yin , Haiping Yu , Pascal Spino , Daniela Rus

Collective behaviors exhibited by animal groups, such as fish schools, bird flocks, or insect swarms are fascinating examples of self-organization in biology. Concepts and methods from statistical physics have been used to argue…

Biological Physics · Physics 2023-03-14 Pawel Romanczuk , Bryan C. Daniels

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…

Statistical Mechanics · Physics 2012-08-21 Yen-Liang Chou , Rylan Wolfe , Thomas Ihle

The collective motion of groups of animals emerges from the net effect of the interactions between individual members of the group. In many cases, such as birds, fish, or ungulates, these interactions are mediated by sensory stimuli that…

Biological Physics · Physics 2016-08-03 Dan Gorbonos , Reuven Ianconescu , James G. Puckett , Rui Ni , Nicholas T. Ouellette , Nir S. Gov

The nature of the phase transition in a system of self-propelling particles has been extensively studied during the last few decades. A theoretical model was proposed by T. Vicsek, {\it et. al.} [Phys. Rev. Lett. {\bf 75}, 1226 (1995)] with…

Biological Physics · Physics 2015-09-21 P. The Nguyen , Sang-Hee Lee , V. Thanh Ngo

Activity recognition and, more generally, behavior inference tasks are gaining a lot of interest. Much of it is work in the context of human behavior. New available tracking technologies for wild animals are generating datasets that…

We propose a novel computational method to extract information about interactions among individuals with different behavioral states in a biological collective from ordinary video recordings. Assuming that individuals are acting as finite…

Multiagent Systems · Computer Science 2017-10-03 Hiroki Sayama , Farnaz Zamani Esfahlani , Ali Jazayeri , J. Scott Turner

Classical swarm models, exemplified by the Cucker--Smale framework, provide foundational insights into collective alignment but exhibit fundamental limitations in capturing the adaptive, heterogeneous behaviours intrinsic to living systems.…

Adaptation and Self-Organizing Systems · Physics 2025-09-08 Rene Fabregas , Jie Liao , Nisrine Outada

We present a general theoretical model for the spatio-temporal dynamics of animal contests. Inspired by interactions between physical particles, the model is formulated in terms of effective interaction potentials, which map typical…

Biological Physics · Physics 2022-12-01 Amir Haluts , Alex Jordan , Nir S. Gov

Collective motion is found in various animal systems, active suspensions and robotic or virtual agents. This is often understood using high level models that directly encode selected empirical features, such as co-alignment and cohesion.…

Biological Physics · Physics 2019-07-19 Henry J. Charlesworth , Matthew S. Turner

We present a model of soft active particles that leads to a rich array of collective behavior found also in dense biological swarms of bacteria and other unicellular organisms. Our model uses only local interactions, such as Vicsek-type…

Soft Condensed Matter · Physics 2016-10-13 Ruben van Drongelen , Anshuman Pal , Carl P. Goodrich , Timon Idema