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We show that a two-dimensional system of flocking microswimmers interacting hydrodynamically can be expressed using a Hamiltonian formalism. The Hamiltonian depends strictly on the angles between the particles and their swimming…

Soft Condensed Matter · Physics 2023-05-23 Yuval Shoham , Naomi Oppenheimer

We develop the hydrodynamic theory of dry, polar ordered, active matter (``flocking") with autochemotaxis; i.e., self-propelled entities moving in the same direction, each emitting a substance which attracts the others (e.g., ants). We find…

Soft Condensed Matter · Physics 2024-01-22 Maxx Miller , John Toner

In active matter systems, self-propelled particles can self-organize to undergo collective motion, leading to persistent dynamical behavior out of equilibrium. In cells, cytoskeletal filaments and motor proteins self-organize into complex…

Soft Condensed Matter · Physics 2020-05-19 Jeffrey M. Moore , Tyler N. Thompson , Matthew A. Glaser , Meredith D. Betterton

The spontaneous organization of collective activities in animal groups and societies has attracted a considerable amount of attention over the last decade. This kind of coordination often permits group-living species to achieve collective…

Physics and Society · Physics 2010-05-20 Mehdi Moussaid , Simon Garnier , Guy Theraulaz , Dirk Helbing

The goal of the present work is to propose an agent-based model that originally combines classical Vicsek-like polarity alignments and contact forces, as implemented in the framework developed by Maury and Venel in [Maury, Venel, 2011]. The…

Numerical Analysis · Mathematics 2026-04-08 Laurent Navoret , Roxana Sublet , Marcela Szopos

Sperm swimming at low Reynolds number have strong hydrodynamic interactions when their concentration is high in vivo or near substrates in vitro. The beating tails not only propel the sperm through a fluid, but also create flow fields…

Biological Physics · Physics 2009-01-09 Yingzi Yang , Jens Elgeti , Gerhard Gompper

We present a model of active particles interacting through a dynamic, heterogeneous environment, leading to emergent collective behaviors without direct agent-to-agent communication. Expanding the resource-dependent framework introduced in…

Biological Physics · Physics 2026-01-22 Gaston Briozzo , Gustavo J. Sibona , Fernando Peruani

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

Spatial structure and species interactions jointly shape the dynamics and biodiversity of ecological systems, yet most theoretical models either neglect spatial heterogeneity or sacrifice analytical tractability. Here, we provide a unified…

Populations and Evolution · Quantitative Biology 2026-05-08 Davide Bernardi , Alice Doimo , Giorgio Nicoletti , Prajwal Padmanabha , Andrea Rinaldo , Samir Suweis , Sandro Azaele , Amos Maritan

Living systems display complex behaviors driven by physical forces as well as decision-making. Hydrodynamic theories hold promise for simplified universal descriptions of socially-generated collective behaviors. However, the construction of…

Soft Condensed Matter · Physics 2025-09-03 Daniel S. Seara , Jonathan Colen , Michel Fruchart , Yael Avni , David Martin , Vincenzo Vitelli

We investigate the motion of active semiflexible filament with shape kinematics and hydrodynamic interaction including. Three types of filament motion are found: Translation, snaking and rotation. Change of flexibility will induce…

Soft Condensed Matter · Physics 2012-10-24 Huijun Jiang , Zhonghuai Hou

We study the collective motion of confined spherical microswimmers such as active colloids which we model by so-called squirmers. To simulate hydrodynamic flow fields including thermal noise, we use the method of multi-particle collision…

Soft Condensed Matter · Physics 2014-03-20 Andreas Zöttl , Holger Stark

We study the emerging collective states in a simple mechanical model of a dense group of self-propelled polar disks with off-centered rotation, confined within a circular arena. Each disk presents self-alignment towards the sum of contact…

Soft Condensed Matter · Physics 2026-04-15 Weizhen Tang , Yating Zheng , Amir Shee , Guozheng Lin , Zhangang Han , Pawel Romanczuk , Cristián Huepe

We study the coupled dynamics of two populations of random replicators by means of statistical mechanics methods, and focus on the effects of relative population size, strategy correlations and heterogeneities in the respective co-operation…

Populations and Evolution · Quantitative Biology 2007-11-02 Tobias Galla

Colloidal particles moving in a fluid interact via the induced velocity field. The collective dynamic state for a class of actively forced colloids, driven by harmonic potentials via a rule that couples forces to configurations, to perform…

Soft Condensed Matter · Physics 2011-10-11 Loïc Damet , Giovanni M. Cicuta , Jurij Kotar , Marco Cosentino Lagomarsino , Pietro Cicuta

In this paper, we derive a kinetic description of swarming particle dynamics in an interacting multi-agent system featuring emerging leaders and followers. Agents are classically characterized by their position and velocity plus a…

Mathematical Physics · Physics 2024-09-30 Emiliano Cristiani , Nadia Loy , Marta Menci , Andrea Tosin

We study regularity of a hydrodynamic singular model of collective behavior introduced in \cite{ST1}. In this note we address the question of global well-posedness in multi-dimensional settings. It is shown that any initial data $(u,\rho)$…

Analysis of PDEs · Mathematics 2020-01-08 Roman Shvydkoy

Collective motion - or flocking - is an emergent phenomena that underlies many biological processes of relevance, from cellular migrations to animal groups movement. In this work, we derive scaling relations for the fluctuations of the mean…

Soft Condensed Matter · Physics 2023-02-13 Martino Brambati , Giuseppe Fava , Francesco Ginelli

Populations of self-propelled mobile agents - animal groups, robot swarms or crowds of people - that exchange information with their surrounding, host fascinating cooperative behaviors. While in many situations of interest the agents motion…

Physics and Society · Physics 2019-01-28 Demian Levis , Albert Diaz-Guilera , Ignacio Pagonabarraga , Michele Starnini

Kinetic and hydrodynamic theories are widely employed for describing the collective behaviour of active matter systems. At the fluctuating level, these have been obtained from explicit coarse-graining procedures in the limit where each…

Statistical Mechanics · Physics 2022-12-14 Ouassim Feliachi , Marc Besse , Cesare Nardini , Julien Barré
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