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The state of a classical point-particle system may often be specified by giving the position and momentum for each constituent particle. For non-pointlike particles, the center-of-mass position may be augmented by an additional coordinate…

Statistical Mechanics · Physics 2023-08-02 Rahil N. Valani , David M. Paganin

Studies of social and group behavior in interacting organisms require high-throughput analysis of the motion of a large number of individual subjects. Computer vision techniques offer solutions to specific tracking problems, and allow…

Quantitative Methods · Quantitative Biology 2015-06-12 Yi Deng , Philip Coen , Mingzhai Sun , Joshua W. Shaevitz

This paper is based on the premise that economic growth is driven by an interplay between innovation and imitation in an economy composed of interacting firms operating in a stochastic environment. A novel approach to modeling imitation is…

Pattern Formation and Solitons · Physics 2019-08-15 Olivier Gallay , Max-Olivier Hongler , Fariba Hashemi

Classical swarm models, exemplified by the Cucker--Smale framework, provide foundational insights into collective alignment but exhibit fundamental limitations in capturing the adaptive, heterogeneous behaviours intrinsic to living systems.…

Adaptation and Self-Organizing Systems · Physics 2025-09-08 Rene Fabregas , Jie Liao , Nisrine Outada

In this paper we consider first order differential models of collective behaviors of groups of agents based on the mass conservation equation. Models are formulated taking the spatial distribution of the agents as the main unknown,…

Analysis of PDEs · Mathematics 2012-03-06 Andrea Tosin , Paolo Frasca

We present experimental results on the single file motion of a group of robots interacting with each other through position sensors. We successfully replicate the fundamental diagram typical of these systems, with a transition from free…

Adaptation and Self-Organizing Systems · Physics 2024-03-14 Laciel Alonso-Llanes , Angel Garcimartín , Iker Zuriguel

We show that dispersion in propulsion strength qualitatively alters collective behavior of active multi-particle systems interacting via short-range attractive potential, giving rise to novel ordered phases that combine spatial and…

Statistical Mechanics · Physics 2026-01-07 Debraj Dutta , Urna Basu

Collective sensing is an emergent phenomenon which enables individuals to estimate a hidden property of the environment through the observation of social interactions. Previous work on collective sensing shows that gregarious individuals…

Populations and Evolution · Quantitative Biology 2018-05-24 Stefano Bennati

Complex behavioral contagion in collective evasion of mobile animal groups can be predicted by reconstructing quantitative interaction networks. Based on the assumption of time-scale separation between a fast contagion process and a slower…

Adaptation and Self-Organizing Systems · Physics 2024-08-12 Wenhan Wu , Xiaoping Zheng , Pawel Romanczuk

Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behavior of complex interacting systems. They often take the form of a high-dimensional system of differential equations…

Machine Learning · Computer Science 2023-08-09 Yuxuan Liu , Scott G. McCalla , Hayden Schaeffer

In this paper we theoretically investigate underlying assumptions that have been used for designing adaptive particle swarm optimization algorithms in the past years. We relate these assumptions to the movement patterns of particles…

Neural and Evolutionary Computing · Computer Science 2018-02-15 Mohammad Reza Bonyadi

Chase-and-run dynamics, in which one population pursues another that flees from it, are found throughout nature, from predator-prey interactions in ecosystems to the collective motion of cells during development. Intriguingly, in many of…

Pattern Formation and Solitons · Physics 2025-09-25 Thomas Jun Jewell , Andrew L. Krause , Philip K. Maini , Eamonn A. Gaffney

Animals form groups for many reasons but there are costs and benefit associated with group formation. One of the benefits is collective memory. In groups on the move, social interactions play a crucial role in the cohesion and the ability…

Quantitative Methods · Quantitative Biology 2014-03-24 Giancarlo De Luca , Patrizio Mariani , Brian R. MacKenzie , Matteo Marsili

Introducing environmental feedback into evolutionary game theory has led to the development of eco-evolutionary games, which have gained popularity due to their ability to capture the intricate interplay between the environment and…

Biological Physics · Physics 2023-08-08 Changyan Di , Qingguo Zhou , Jun Shen , Jinqiang Wang , Rui Zhou , Tianyi Wang

Selectivity of particles in a region of space can be achieved by applying external potentials to influence the particles in that region. We investigate static and dynamical properties of size selectivity in binary fluid mixtures of two…

Soft Condensed Matter · Physics 2010-01-18 Roland Roth , Markus Rauscher , Andrew J. Archer

We have introduced evolutionary game dynamics to a one-dimensional cellular-automaton to investigate evolution and maintenance of cooperative avoiding behavior of self-driven particles in bidirectional flow. In our model, there are two…

Physics and Society · Physics 2017-04-11 Daichi Yanagisawa

Repulsion between individuals within a finite radius is encountered in numerous applications, including cell exclusion, i.e. avoidance of overlapping cells, bird flocks, or microscopic pedestrian models. We define such individual based…

Analysis of PDEs · Mathematics 2023-10-06 Michael Fischer , Laura Kanzler , Christian Schmeiser

Most real world collectives, including active particles, living cells, and grains, are heterogeneous, where individuals with differing properties interact. The differences among individuals in their intrinsic properties have emergent…

Machine Learning · Computer Science 2023-09-25 Arshed Nabeel , Danny Raj M

We introduce a probabilistic pairwise \emph{attraction--repulsion} model for opinion dynamics on multilayer social networks, in which agents hold layer-specific states and interact through random matchings that couple multiple, time-varying…

Dynamical Systems · Mathematics 2025-12-23 Hsin-Lun Li

Designing microscopic and nanoscopic self-propelled particles and characterising their motion has become a major scientific challenge over the past decades. To this purpose, phoretic effects, namely propulsion mechanisms relying on local…

Soft Condensed Matter · Physics 2021-04-09 Pierre Illien , Ramin Golestanian , Ayusman Sen
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