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We study a simple swarming model on a two-dimensional lattice where the self-propelled particles exhibit a tendency to align ferromagnetically. Volume exclusion effects are present: particles can only hop to a neighboring node if the node…

Biological Physics · Physics 2013-02-18 Fernando Peruani , Tobias Klauss , Andreas Deutsch , Anja Voss-Boehme

We reveal that the mechanical pulsation of locally synchronised particles is a generic route to propagate deformation waves. We consider a model of dense repulsive particles whose activity drives periodic change in size of each individual.…

Soft Condensed Matter · Physics 2023-12-12 Yiwei Zhang , Étienne Fodor

We demonstrate the emergence of self-organized structures in the course of the relaxation of an initially excited, dissipative and finite chain of interacting particles in a periodic potential towards its many particle equilibrium…

Adaptation and Self-Organizing Systems · Physics 2016-08-19 Benno Liebchen , Peter Schmelcher

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

We explore a simplified class of models we call swarms, which are inspired by the collective behavior of social insects. We perform a mean-field stability analysis and perform numerical simulations of the model. Several interesting types of…

adap-org · Physics 2009-10-28 Erik M. Rauch , Mark M. Millonas , Dante R. Chialvo

We present a comprehensive study of Vicsek-style self-propelled particle models in two and three space dimensions. The onset of collective motion in such stochastic models with only local alignment interactions is studied in detail and…

Statistical Mechanics · Physics 2009-11-13 Hugues Chaté , Francesco Ginelli , Guillaume Grégoire , Franck Raynaud

Our current research lays emphasis on the extended pedestrian perception and copes with both the dynamic group behavior and the individual evaluation of situations, and hence, rather focuses on the tactical level of movement behavior.…

Physics and Society · Physics 2021-04-01 Michael Schultz , Lars Rößger , Hartmut Fricke , Bernhard Schlag

We propose a dynamical model for group formation and switching behavior in systems where each group competes for members through attraction functions that are inversely proportional to their current sizes. This attraction is modulated by…

Dynamical Systems · Mathematics 2026-03-12 Samit Ghosh

In equilibrium, colloidal suspensions governed by short-range attractive and long-range repulsive interactions form thermodynamically stable clusters. Using Brownian dynamics computer simulations, we investigate how this equilibrium…

Soft Condensed Matter · Physics 2015-09-30 Ethayaraja Mani , Hartmut Löwen

We propose a simple mathematical model that describes a pairing-induced motion of active and passive particles in a two-dimensional system, which is motivated by our previous paper [Ishikawa et al., Phys. Rev. E \textbf{106} (2022) 024604].…

Adaptation and Self-Organizing Systems · Physics 2026-03-11 Hiroaki Ishikawa , Yuki Koyano , Hiroaki Ito , Yutaka Sumino , Hiroyuki Kitahata

Interacting individuals in complex systems often give rise to coherent motion exhibiting coordinated global structures. Such phenomena are ubiquitously observed in nature, from cell migration, bacterial swarms, animal and insect groups, and…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Dongjo Kim , Jeongsu Lee , Ho-Young Kim

We describe a simple nearest-neighbor Ising model that is capable of supporting a gas, liquid, crystal, in characteristic relationship to each other. As the parameters of the model are varied one obtains characteristic patterns of phase…

Statistical Mechanics · Physics 2009-11-10 Davide Cellai , Hector Cuevas , Aonghus Lawlor , Gavin D. McCullagh , Kenneth A. Dawson

In order to investigate collective effects of interactions between pedestrians and attractions, this study extends the social force model. Such interactions lead pedestrians to form stable clusters around attractions, or even to rush into…

Physics and Society · Physics 2017-09-07 Jaeyoung Kwak , Hang-Hyun Jo , Tapio Luttinen , Iisakki Kosonen

We numerically examine a bidisperse system of active and passive particles coupled to a resource substrate. The active particles deplete the resource at a fixed rate and move toward regions with higher resources, while all of the particles…

Soft Condensed Matter · Physics 2024-04-23 L. Varga , A. Libal , C. Reichhardt , C. J. O. Reichhardt

Deformable self-propelled particles provide us with one of the most important nonlinear dissipative systems, which are related, for example, to the motion of microorganisms. It is emphasized that this is a subject of localized objects in…

Soft Condensed Matter · Physics 2015-06-17 M. Tarama , Y. Itino , A. M. Menzel , T. Ohta

The study of emergent behavior of swarms is of great interest for applied sciences. One of the most fundamental questions for self-organizing swarms is whether the swarms disperse or remain in a spatially cohesive configuration. In the…

Dynamical Systems · Mathematics 2022-05-31 Constantine Medynets , Irina Popovici

This contribution describes efforts to model the behavior of individual pedestrians and their interactions in crowds, which generate certain kinds of self-organized patterns of motion. Moreover, this article focusses on the dynamics of…

Physics and Society · Physics 2013-09-09 Dirk Helbing , Anders Johansson

There is currently a strong interest in the collective behavior of chiral active particles that can propel and rotate themselves. In the presence of alignment interactions for many chiral particles, chiral self-propulsion can induce vortex…

Soft Condensed Matter · Physics 2024-05-01 Lorenzo Caprini , Benno Liebchen , Hartmut Löwen

Elucidating emergent regularities in intriguing crowd dynamics is a fundamental scientific problem arising in multiple fields. In this work, based on the social force model, we simulate the typical scenario of collective escape towards a…

Soft Condensed Matter · Physics 2021-05-11 Chen Cheng , Jinglai Li , Zhenwei Yao

One of the most interesting phenomena in the soft-matter realm consists in the spontaneous formation of super-molecular structures (microphases) in condition of thermodynamic equilibrium. A simple mechanism responsible for this…

Soft Condensed Matter · Physics 2017-08-23 A. Imperio , D. Pini , L. Reatto
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