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Collective movement is observed widely in nature, where individuals interact locally to produce globally ordered, coherent motion. In typical models of collective motion, each individual takes the average direction of multiple neighbors,…

Quantitative Methods · Quantitative Biology 2026-01-23 Yogesh Kumar KC , Arshed Nabeel , Srikanth Iyer , Vishwesha Guttal

In this work we consider the phase transition from ordered to disordered states that occur in the Vicsek model of self-propelled particles. This model was proposed to describe the emergence of collective order in swarming systems. When…

Statistical Mechanics · Physics 2009-07-31 M. Aldana , H. Larralde , B. Vázquez

Inspired by the swarming or flocking of animal systems we study groups of agents moving in unbounded 2D space. Individual trajectories derive from a ``bottom-up'' principle: individuals reorient to maximise their future path entropy over…

Statistical Mechanics · Physics 2023-04-21 Harvey L. Devereux , Matthew S. Turner

The emergence of order from initial disordered movement in self-propelled collective motion is an instance of nonequilibrium phase transition, which is known to be first order in the thermodynamic limit. Here, we introduce a multiplicative…

Statistical Mechanics · Physics 2024-04-30 Fatemeh Haghsheno , Mohammad Mehrafarin

Natural systems are inextricably affected by noise. Within recent decades, the manner in which noise affects the collective behavior of self-organized systems, specifically, has garnered considerable interest from researchers and developers…

Optimization and Control · Mathematics 2016-07-12 Ge Chen

We consider a collective behavior model in which individuals try to imitate each others' velocity and have a preferred speed. We show that a phase change phenomenon takes place as diffusion decreases, bringing the system from a "disordered"…

Analysis of PDEs · Mathematics 2017-03-28 Alethea B. T. Barbaro , José A. Cañizo , José A. Carrillo , Pierre Degond

We perform a numerical analysis of a recent introduced model for describing collective movement in alarmed animals groups. This model, derived from a position-based interaction and a limited attention field, displays a non-equilibrium phase…

Biological Physics · Physics 2019-03-08 A. M. Calvão , E. Brigatti

We present a comprehensive study of Vicsek-style self-propelled particle models in two and three space dimensions. The onset of collective motion in such stochastic models with only local alignment interactions is studied in detail and…

Statistical Mechanics · Physics 2009-11-13 Hugues Chaté , Francesco Ginelli , Guillaume Grégoire , Franck Raynaud

We consider swarms formed by populations of self-propelled particles with attractive long-range interactions. These swarms represent multistable dynamical systems and can be found either in coherent traveling states or in an incoherent…

adap-org · Physics 2009-10-31 A. S. Mikhailov , D. H. Zanette

The emergence of collective motion, also known as flocking or swarming, in groups of moving individuals who orient themselves using only information from their neighbors is a very general phenomenon that is manifested at multiple spatial…

Statistical Mechanics · Physics 2016-04-26 David A. Quint , Ajay Gopinathan

The phenomenon of group motion is common in nature, ranging from the schools of fish, birds and insects, to avalanches, landslides and sand drift. If we treat objects as collectively moving particles, such phenomena can be studied from a…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jian Sun , Jiasen Niu , Yifan Li , Yang Liu , L. N. Pfeiffer , K. W. West , Pengjie Wang , Xi Lin

With the aim of understanding the emergence of collective motion from local interactions of organisms in a "noisy" environment, we study biologically inspired, inherently non-equilibrium models consisting of self-propelled particles. In…

Biological Physics · Physics 2009-10-31 A. Czirok , T. Vicsek

We analyze order-disorder phase transitions driven by noise that occur in two kinds of network models closely related to the self-propelled model proposed by Vicsek et. al. to describe the collective motion of groups of organisms…

Disordered Systems and Neural Networks · Physics 2008-02-27 Jaime A. Pimentel , Maximino Aldana , Cristián Huepe , Hernán Larralde

An important characteristic of flocks of birds, school of fish, and many similar assemblies of self-propelled particles is the emergence of states of collective order in which the particles move in the same direction. When noise is added…

Statistical Mechanics · Physics 2015-01-19 M. Aldana , V. Dossetti , C. Huepe , V. M. Kenkre , H. Larralde

In an emergency situation, imitation of strategies of neighbours can lead to an order-disorder phase transition, where spatial clusters of pedestrians adopt the same strategy. We assume that there are two strategies, cooperating and…

Physics and Society · Physics 2013-03-12 P. Gawronski , K. Malarz , M. J. Krawczyk , J. Malinowski , A. Kupczak , W. Sikora , K. Kulakowski , J. Was , J. Kantelhardt

We propose a new model in order to study behaviors of self-organized system such as a group of animals. We assume that the individuals have two degrees of freedom corresponding one to their internal state and the other to their external…

Biological Physics · Physics 2015-10-23 P. The Nguyen , V. Thanh Ngo , H. T. Diep

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,…

Soft Condensed Matter · Physics 2026-02-26 Mohit Gaur , Arnab Saha , Subhajit Paul

When particles move at a constant speed and have the tendency to align their directions of motion, ordered large scale movement can emerge despite significant levels of noise. Many variants of this model of self-propelled particles have…

Biological Physics · Physics 2012-12-11 Matthias Meschede , Oskar Hallatschek

We study the flocking and pattern formations of active particles with a Vicsek-like model that includes a configuration dependent noise term. In particular, we couple the strength of the noise with both the local density and orientation of…

Biological Physics · Physics 2017-02-09 Kosuke Matsui , John J. Molina

We study a model of flocking in order to describe the transitions during the collective motion of organisms in three dimensions (e.g., birds). In this model the particles representing the organisms are self-propelled, i.e., they move with…

Biological Physics · Physics 2015-06-26 A. Czirok , M. Vicsek , T. Vicsek
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