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The most conspicuous trait of collective animal behaviour is the emergence of highly ordered structures. Less obvious to the eye, but perhaps more profound a signature of self-organization, is the presence of long-range spatial…

软凝聚态物质 · 物理学 2013-04-24 Andrea Cavagna , Irene Giardina , Francesco Ginelli

Consider a flock of birds that fly interacting between them. The interactions are modelled through a hierarchical system in which each bird, at each time step, adjusts its own velocity according to his past velocity and a weighted mean of…

概率论 · 数学 2009-12-24 Federico Dalmao , Ernesto Mordecki

Collective motion is ubiquitous in nature; groups of animals, such as fish, birds, and ungulates appear to move as a whole, exhibiting a rich behavioral repertoire that ranges from directed movement to milling to disordered swarming.…

适应与自组织系统 · 物理学 2024-05-15 Conor Heins , Beren Millidge , Lancelot da Costa , Richard Mann , Karl Friston , Iain Couzin

The study of the movement of flocks, whether biological or technological is motivated by the desire to understand the capability of coherent motion of a large number of agents that only receive very limited information. In a biological…

系统与控制 · 计算机科学 2018-10-30 J. J. P. Veerman

When animal groups move coherently in the form of a flock, their trajectories are not all parallel, the individuals exchange their position in the group. In this Letter we introduce a measure of this mixing dynamics, which we quantify as…

统计力学 · 物理学 2015-06-29 Jean-Baptiste Caussin , Denis Bartolo

Using a minimal aggregation-based model, we address the efficient information transfer observed in natural flocks during collective turns. Specifically, we demonstrate that this feature can arise solely from the non-reciprocal nature of…

适应与自组织系统 · 物理学 2025-11-25 Joao Lizárraga , Marcus de Aguiar

Over the past few decades, the research community has been interested in the study of multi-agent systems and their emerging collective dynamics. These systems are all around us in nature, like bacterial colonies, fish schools, bird flocks,…

适应与自组织系统 · 物理学 2023-12-12 Gourab Kumar Sar , Dibakar Ghosh

We present a quantitative continuum theory of ``flocking'': the collective coherent motion of large numbers of self-propelled organisms. Our model predicts the existence of an ``ordered phase'' of flocks, in which all members of the flock…

统计力学 · 物理学 2009-10-31 John Toner , Yuhai Tu

Flocks of animals represent a fascinating archetype of collective behavior in the macroscopic classical world, where the constituents, such as birds, concertedly perform motions and actions as if being one single entity. Here, we address…

量子物理 · 物理学 2026-01-13 Reyhaneh Khasseh , Sascha Wald , Roderich Moessner , Christoph A. Weber , Markus Heyl

Random walkers characterized by random positions and random velocities lead to normal diffusion. A random walk was originally proposed by Einstein to model Brownian motion and to demonstrate the existence of atoms and molecules. Such a…

统计力学 · 物理学 2018-08-01 Daniel Escaff , Raul Toral , Christian Van den Broeck , Katja Lindenberg

We investigate collective phenomena with rotationally driven spinners of concave shape. Each spinner experiences a constant internal torque in either a clockwise or counterclockwise direction. Although the spinners are modeled as hard,…

软凝聚态物质 · 物理学 2014-03-10 Nguyen H. P. Nguyen , Daphne Klotsa , Michael Engel , Sharon C. Glotzer

In active matter systems, self-propelled particles can self-organize to undergo collective motion, leading to persistent dynamical behavior out of equilibrium. In cells, cytoskeletal filaments and motor proteins self-organize into complex…

软凝聚态物质 · 物理学 2020-05-19 Jeffrey M. Moore , Tyler N. Thompson , Matthew A. Glaser , Meredith D. Betterton

Systems composed of strongly interacting self-propelled particles can form a spontaneously flowing polar active fluid. The study of the connection between the microscopic dynamics of a single such particle and the macroscopic dynamics of…

软凝聚态物质 · 物理学 2018-03-02 Benjamin Loewe , Anton Souslov , Paul M. Goldbart

The physics of active biological matter, such as bacterial colonies and bird flocks, exhibiting interesting self-organizing dynamical behavior has gained considerable importance in recent years. Recent theoretical advances use techniques…

生物物理 · 物理学 2023-07-26 Abhishek Sivaram , Venkat Venkatasubramanian

We study the emerging collective states in a simple mechanical model of a dense group of self-propelled polar disks with off-centered rotation, confined within a circular arena. Each disk presents self-alignment towards the sum of contact…

软凝聚态物质 · 物理学 2026-04-15 Weizhen Tang , Yating Zheng , Amir Shee , Guozheng Lin , Zhangang Han , Pawel Romanczuk , Cristián Huepe

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

In nature, active matter, such as worms or dogs, tend to spontaneously form a stable rotational cluster when they flock to the same food source on an unregulated and unconfined surface. {In this paper we present an $n$-node flexible active…

软凝聚态物质 · 物理学 2023-08-21 Gaoxiao Jiang , Zhihong You , Rui Ma , Chen-Xu Wu

Large animal groups -- bird flocks, fish schools, insect swarms -- are often assumed to form by gradual aggregation of sparsely distributed individuals. Using a mathematically precise framework based on time-varying directed interaction…

种群与进化 · 定量生物学 2025-12-02 Jidong Jin

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

Many living and artificial systems show a similar emergent behavior and collective motions on different scales, starting from swarms of bacteria to synthetic active particles, herds of mammals and crowds of people. What all these systems…

软凝聚态物质 · 物理学 2024-01-01 Bohdan Senyuk , Jin-Sheng Wua , Ivan I. Smalyukh