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200 papers

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…

Soft Condensed Matter · Physics 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…

Probability · Mathematics 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.…

Adaptation and Self-Organizing Systems · Physics 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…

Systems and Control · Computer Science 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…

Statistical Mechanics · Physics 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…

Adaptation and Self-Organizing Systems · Physics 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,…

Adaptation and Self-Organizing Systems · Physics 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…

Statistical Mechanics · Physics 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…

Quantum Physics · Physics 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…

Statistical Mechanics · Physics 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,…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 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…

Biological Physics · Physics 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…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 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…

Populations and Evolution · Quantitative Biology 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…

Statistical Mechanics · Physics 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…

Soft Condensed Matter · Physics 2024-01-01 Bohdan Senyuk , Jin-Sheng Wua , Ivan I. Smalyukh