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We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

Statistical Mechanics · Physics 2015-07-08 Ricardo Martínez-García , Clara Murgui , Emilio Hernández-García , Cristóbal López

Collective animal behaviors are paradigmatic examples of fully decentralized operations involving complex collective computations such as collective turns in flocks of birds or collective harvesting by ants. These systems offer a unique…

Robotics · Computer Science 2022-09-28 Jabez Leong Kit , David Mateo , Roland Bouffanais

Bacteria are perhaps the simplest living systems capable of complex behaviour involving sensing and coherent, collective behaviour an example of which is the phenomena of swarming on agar surfaces. Two fundamental questions in bacterial…

A spacially extended model of the collective behavior of a large number of locally acting organisms is proposed in which organisms move probabilistically between local cells in space, but with weights dependent on local morphogenetic…

adap-org · Physics 2008-06-25 Mark M. Millonas

Collective behaviour in biological systems pitches us against theoretical challenges way beyond the borders of ordinary statistical physics. The lack of concepts like scaling and renormalization is particularly grievous, as it forces us to…

Statistical Mechanics · Physics 2017-10-11 A. Cavagna , D. Conti , C. Creato , L. Del Castello , I. Giardina , T. S. Grigera , S. Melillo , L. Parisi , M. Viale

Active particles are entities that sustain persistent out-of-equilibrium motion by consuming energy. Under certain conditions, they exhibit the tendency to self-organize through coordinated movements, such as swarming via aggregation. While…

Adaptation and Self-Organizing Systems · Physics 2026-04-09 Siddharth Chaturvedi , Ahmed EL-Gazzar , Marcel van Gerven

In a robotic swarm, parameters such as position and proximity to the target can be described in terms of probability amplitudes. This idea led to recent studies on a quantum approach to the definition of the swarm, including a block-matrix…

Robotics · Computer Science 2026-03-17 Maria Mannone , Mahathi Anand , Peppino Fazio , Abdalla Swikir

Swarms of large numbers of agents appear in many biological and engineering fields. Dynamic bi-stability of co-existing spatio-temporal patterns has been observed in many models of large population swarms. However, many reduced models for…

Pattern Formation and Solitons · Physics 2015-06-17 Luis Mier-y-Teran-Romero , Ira B. Schwartz

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

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

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 consider a self-propelled particle system which has been used to describe certain types of collective motion of animals, such as fish schools and bird flocks. Interactions between particles are specified by means of a pairwise potential,…

Analysis of PDEs · Mathematics 2013-03-05 J. A. Carrillo , S. Martin , V. Panferov

The collective ability of organisms to move coherently in space and time is ubiquitous in any group of autonomous agents that can move and sense each other and the environment. Here we investigate the origin of collective motion and its…

Soft Condensed Matter · Physics 2013-02-26 L. Giomi , N. Hawley-Weld , L. Mahadevan

We investigate the collective motion of self-propelled agents in an environment filled with obstacles that are tethered to fixed positions via springs. The active particles are able to modify the environment by moving the obstacles through…

Mathematical Physics · Physics 2023-01-24 Pierre Degond , Angelika Manhart , Sara Merino-Aceituno , Diane Peurichard , Lorenzo Sala

The emergence of collective decision in swarms and their coordinated response to complex environments underscore the central role played by social transmission of information. Here, the different possible origins of information flow…

Adaptation and Self-Organizing Systems · Physics 2017-05-23 Mohammad Komareji , Yilun Shang , Roland Bouffanais

One of the major motifs in collective or swarm intelligence is that, even though individuals follow simple rules, the resulting global behavior can be complex and intelligent. In artificial swarm systems, such as swarm robots, the goal is…

Neural and Evolutionary Computing · Computer Science 2014-07-02 Donghwa Jeong , Kiju Lee

In crowded environments, individuals must navigate around other occupants to reach their destinations. Understanding and controlling traffic flows in these spaces is relevant for coordinating robot swarms and designing infrastructure for…

Robotics · Computer Science 2026-02-25 Lucy Liu , Justin Werfel , Federico Toschi , L. Mahadevan

Theoretical models of populations and swarms typically start with the assumption that the motion of agents is governed by the local stimuli. However, an intelligent agent, with some understanding of the laws that govern its habitat, can…

Adaptation and Self-Organizing Systems · Physics 2018-02-07 Nathaniel Rupprecht , Dervis Can Vural

In this book chapter, we review how systems of simple motile agents can be used as a pathway to intelligent systems. It is a well known result from nature that large groups of entities following simple rules, such as swarms of animals, can…

Soft Condensed Matter · Physics 2025-12-17 Julian Jeggle , Raphael Wittkowski

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