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Natural flocks (aligned) and swarms (non-aligned) both exhibit features of near-criticality, challenging their treatment as two ends of the same phase transition. We present a model for the aggregation of active individuals, in which their…

Adaptation and Self-Organizing Systems · Physics 2025-11-26 Joao Lizárraga , Marcus de Aguiar

Aggregation is a common behavior by which groups of organisms arrange into cohesive groups. Whether suspended in the air (like honey bee clusters), built on the ground (such as army ant bridges), or immersed in water (such as sludge worm…

Populations and Evolution · Quantitative Biology 2022-06-23 O. Shishkov , O. Peleg

We study the stochastic motion of active particles that undergo spontaneous transitions between two distinct modes of motion. Each mode is characterized by a velocity distribution and an arbitrary (anti-)persistence. We present an…

Statistical Mechanics · Physics 2023-07-07 M. Reza Shaebani , Heiko Rieger , Zeinab Sadjadi

A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be…

Statistical Mechanics · Physics 2010-01-05 Guillaume Gregoire , Hugues Chate , Yuhai Tu

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

Social dynamics is concerned primarily with interactions among individuals and the resulting group behaviors, modeling the temporal evolution of social systems via the interactions of individuals within these systems. In particular, the…

Machine Learning · Statistics 2016-11-08 Zhen Xu , Wen Dong , Sargur Srihari

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

Human crowd motion is mainly driven by self-organized processes based on local interactions among pedestrians. While most studies of crowd behavior consider only interactions among isolated individuals, it turns out that up to 70% of people…

Physics and Society · Physics 2015-05-18 Mehdi Moussaid , Niriaska Perozo , Simon Garnier , Dirk Helbing , Guy Theraulaz

In a system of many similar self-propelled entities such as flocks of birds, fish school, cells and molecules, the interactions with neighbors can lead to a "coherent state", meaning the formation of visually compelling aggregation patterns…

Applications · Statistics 2024-03-07 Thevasha Sathiyakumar , Shantanu Sur , Sumona Mondal , Marko Budišić

The recent availability of large databases allows to study macroscopic properties of many complex systems. However, inferring a model from a fit of empirical data without any knowledge of the dynamics might lead to erroneous interpretations…

Physics and Society · Physics 2016-08-31 Riccardo Gallotti , Armando Bazzani , Sandro Rambaldi , Marc Barthelemy

The majority of Americans fail to achieve recommended levels of physical activity, which leads to numerous preventable health problems such as diabetes, hypertension, and heart diseases. This has generated substantial interest in monitoring…

In recent experiments by Richardson et al. ((2010), PLoS ONE 5(3): e9621. doi:10.1371/ journal.pone.0009621) ant motion out of the nest is shown to be a non-stationary process intriguingly similar to the dynamics encountered in…

Populations and Evolution · Quantitative Biology 2015-03-17 Paolo Sibani , Simon Christiansen

Consider the dynamic environment governed by a Poissonian field of independent particles evolving as simple random walks on $\mathbb{Z}^d$. The random walk on random walks model refers to a particular stochastic process on $\mathbb{Z}^d$…

Probability · Mathematics 2024-11-22 Stein Andreas Bethuelsen , Florian Völlering

Robots are still poor at traversing cluttered large obstacles required for important applications like search and rescue. By contrast, animals are excellent at doing so, often using direct physical interaction with obstacles rather than…

Robotics · Computer Science 2022-03-15 Bokun Zheng , Qihan Xuan , Chen Li

Computational models of collective behavior in birds has allowed us to infer interaction rules directly from experimental data. Using a generic form of these rules we explore the collective behavior and emergent dynamics of a simulated…

Adaptation and Self-Organizing Systems · Physics 2012-07-24 Michael Small , Xiaoke Xu

Microscopic mechanisms of natural processes are frequently understood in terms of random walk models by analyzing local particle transitions. This is because these models properly account for dynamic processes at the molecular level and…

Statistical Mechanics · Physics 2021-06-16 Jaeoh Shin , Alexander M. Berezhkovskii , Anatoly B. Kolomeisky

We study here one-dimensional model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time kinetics of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) on open chains. Isolated…

Statistical Mechanics · Physics 2019-09-04 N. Zh. Bunzarova , N. C. Pesheva , J. G. Brankov

We study the role of the adaptive movement strategy in promoting biodiversity in cyclic models described by the rock-paper-scissors game rules. We assume that individuals of one out of the species may adjust their movement to escape hostile…

Populations and Evolution · Quantitative Biology 2022-12-27 J. Menezes , M. Tenorio , E. Rangel

Self-repelling two-leg (biped) spider walk is considered where the local stochastic movements are governed by two independent control parameters $ \beta_d$ and $ \beta_h $, so that the former controls the distance ($ d $) between the legs…

Statistical Mechanics · Physics 2021-12-08 H. Dashti N. , M. N. Najafi , Hyunggyu Park

In this work we study the stochastic process of two-species coagulation. This process consists in the aggregation dynamics taking place in a ring. Particles and clusters of particles are set in this ring and they can move either clockwise…

Analysis of PDEs · Mathematics 2014-04-22 Carlos Escudero , Fabricio Macia , Raul Toral , Juan J. L. Velazquez