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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…

概率论 · 数学 2009-12-24 Federico Dalmao , Ernesto Mordecki

Stochastic particle--based models are useful tools for describing the collective movement of large crowds of pedestrians in crowded confined environments. Using descriptions based on the simple exclusion process, two populations of…

统计力学 · 物理学 2020-08-26 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean , T. K. Thoa Thieu

We present a general framework for modeling a wide selection of flocking scenarios under free boundary conditions. Several variants have been considered - including examples for the widely observed behavior of hierarchically interacting…

物理与社会 · 物理学 2019-04-23 Yongnan Jia , Tamas Vicsek

The global phase behavior of the lattice restricted primitive model with nearest neighbor exclusion has been studied by grand canonical Monte Carlo simulations. The phase diagram is dominated by a fluid (or charge-disordered solid) to…

软凝聚态物质 · 物理学 2009-11-11 Alexandre Diehl , Athanassios Z. Panagiotopoulos

Mathematical models of motility are often based on random-walk descriptions of discrete individuals that can move according to certain rules. It is usually the case that large masses concentrated in small regions of space have a great…

物理与社会 · 物理学 2022-11-23 Carles Falcó

The phase ordering properties of lattices of band-chaotic maps coupled diffusively with some coupling strength $g$ are studied in order to determine the limit value $g_e$ beyond which multistability disappears and non-trivial collective…

无序系统与神经网络 · 物理学 2009-10-31 Anael Lemaitre , Hugues Chate

Soft condensed matter structures often challenge us with complex many-body phenomena governed by collective modes spanning wide spatial and temporal domains. In order to successfully tackle such problems mesoscopic coarse-grained (CG)…

软凝聚态物质 · 物理学 2023-07-12 Vlad P Sokhan , Michael A Seaton , Ilian T Todorov

A model of the urban agglomeration and segregation is formulated, in which two types of agents move around on the square-lattice aligned cells. The model is shown to exhibit, when the density of agents are varied as the control parameter,…

物理与社会 · 物理学 2023-07-24 Taksu Cheon , Michikazu Kobayashi

Flocking phase transitions found in models of polar active matter are paradigmatic examples of active phase transitions in soft matter. An interesting specialization of flocking models concerns a ``topological'' vs ``metric'' choice by…

软凝聚态物质 · 物理学 2024-09-10 Charles R. Packard , Daniel M. Sussman

Termites which are able to forage in the open can be often seen, in the field or in the lab: (i) wandering around, forming no observable pattern, or (ii) clustering themselves in a dense and almost immobile pack, or (iii) milling about in a…

种群与进化 · 定量生物学 2025-05-15 Leticia R. Paiva , Sidiney G. Alves , Og DeSouza , Octavio Miramontes

In the last decade, stochastic models have shown to be very useful for quantitative modelling of social processes. Here, a configurational master equation for the description of behavioral changes by pair interactions of individuals is…

统计力学 · 物理学 2009-10-31 Dirk Helbing

Demonstrating and quantifying the respective roles of social interactions and external stimuli governing fish dynamics is key to understanding fish spatial distribution. If seminal studies have contributed to our understanding of fish…

生物物理 · 物理学 2015-06-03 Manuela Capello , Marc Soria , Pascal Cotel , Jean-Louis Deneubourg , Laurent Dagorn

We show that even weak nonreciprocal alignment leads to large-scale structure formation in flocking mixtures. By combining numerical simulations of a binary Vicsek model and the analysis of coarse-grained continuum equations, we demonstrate…

统计力学 · 物理学 2026-02-16 Charlotte Myin , Benoît Mahault

Emperor penguins are the only penguin species that winter in Antarctica. As is known, during cold weather, birds huddle together to share body heat. We developed a microscopic model in which penguins interact with each other through an…

生物物理 · 物理学 2025-08-26 Dmitry Bratsun , Kirill Kostarev

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…

统计力学 · 物理学 2009-10-31 John Toner , Yuhai Tu

Bacteria can spontaneously develop collective motions by aligning their motions in dense systems. Here, we show that bacteria can also respond collectively to an alternating electrical field and form dynamic clusters oscillating at the same…

软凝聚态物质 · 物理学 2022-10-11 Mei Mei Bao , Isaiah Eze Igwe , Kang Chen , Tian Hui Zhang

Abrupt changes in behavior can often be associated with changes in underlying behavioral states. When placed off food, the foraging behavior of C. elegans can be described as a change between an initial local-search behavior characterized…

神经元与认知 · 定量生物学 2025-06-03 Andrew Margolis , Andrew Gordus

The collective motion of epithelial cells is a fundamental biological process which plays a significant role in embryogenesis, wound healing and tumor metastasis. While it has been broadly investigated for over a decade both in vivo and in…

We present the results of an experimental study of patterned segregation in a horizontally shaken shallow layer of a binary mixture of dry particles. As the compacity, $C$, of the mixture was increased, the evolution of three distinct…

软凝聚态物质 · 物理学 2007-05-23 P. M. Reis , G. Ehrhardt , T. Mullin

The features of animal population dynamics, for instance, flocking and migration, are often synchronized for survival under large-scale climate change or perceived threats. These coherent phenomena have been explained using synchronization…

适应与自组织系统 · 物理学 2020-09-09 Jinha Park , B. Kahng