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Fish schooling is often modeled with self-propelled particles subject to phenomenological behavioral rules. Although fish are known to sense and exploit flow features, these models usually neglect hydrodynamics. Here, we propose a novel…

Biological Physics · Physics 2018-05-16 Audrey Filella , François Nadal , Clément Sire , Eva Kanso , Christophe Eloy

In this paper, we discuss the passage to hydrodynamic equations for kinetic models of opinion formation. The considered kinetic models feature an opinion density depending on an additional microscopic variable, identified with the personal…

Physics and Society · Physics 2024-12-20 Lorenzo Pareschi , Giuseppe Toscani , Andrea Tosin , Mattia Zanella

Cities are typical dynamic complex systems that connect people and facilitate interactions. Revealing universal collective patterns behind spatio-temporal interactions between residents is crucial for various urban studies, of which we are…

Physics and Society · Physics 2024-06-11 Chenxin Liu , Yu Yang , Bingsheng Chen , Tianyu Cui , Fan Shang , Jingfang Fan , Ruiqi Li

Orderliness, reflected via mathematical laws, is encountered in different frameworks involving social groups. Here we show that a thermodynamics can be constructed that macroscopically describes urban population flows. Microscopic dynamic…

Physics and Society · Physics 2015-04-30 A. Hernando , A. Plastino

Thermodynamics, introduced over two centuries ago, remains foundational to our understanding of physical, chemical, biological, and engineering systems. Its principles are traditionally grounded in the statistical mechanics framework, which…

Chemical Physics · Physics 2025-06-30 Małgorzata J. Zimoń , Fausto Martelli

Hydrodynamic theories effectively describe many-body systems out of equilibrium in terms of a few macroscopic parameters. However, such hydrodynamic parameters are difficult to derive from microscopics. Seldom is this challenge more…

Understanding how sustainable behaviors spread within heterogeneous societies requires the integration of behavioral data, social influence mechanisms, and structured approaches to control. In this paper, we propose a data-driven…

Social and Information Networks · Computer Science 2025-11-17 Martina Alutto , Sofia Bellotti , Fabrizio Dabbene , Chiara Ravazzi

Self-propelled particles with hydrodynamic interactions (microswimmers) have previously been shown to produce long-range ordering phenomena. Many theoretical explanations for these collective phenomena are connected to instabilities in the…

Soft Condensed Matter · Physics 2017-05-03 Yuzhou Qian , Peter R. Kramer , Patrick T. Underhill

Collective motion is a phenomenon observed across length scales in nature, from bacterial swarming and tissue migration to the flocking of animals. The mechanisms underlying this behavior vary significantly depending on the biological…

Soft Condensed Matter · Physics 2025-01-15 Urvi Mahendra Bora , Mohd Suhail Rizvi

In two papers we proposed a continuum model for the dynamics of systems of self propelling particles with kinematic constraints on the velocities and discussed some of its properties. The model aims to be analogous to a discrete algorithm…

Fluid Dynamics · Physics 2009-11-13 V. I. Ratushnaya , D. Bedeaux , V. L. Kulinskii , A. V. Zvelindovsky

Coordinated movement and self-organisation of active self-driven agents is common in nature and is seen across different scales, from herds of animals to collective motion in bacteria. Often, these systems are heterogeneous in composition,…

Adaptation and Self-Organizing Systems · Physics 2026-04-28 Balagopal Nair , Arshed Nabeel , Danny Raj M

Understanding how microscopic motility shapes emergent collective behaviors is a challenging task in active matter, especially when self-propulsion is regulated by external cues or via quorum-sensing interactions. To address this problem,…

Statistical Mechanics · Physics 2026-04-13 Alberto Dinelli , Pietro Luigi Muzzeddu

Dynamical models underpin our ability to understand and predict the behavior of natural systems. Whether dynamical models are developed from first-principles derivations or from observational data, they are predicated on our choice of state…

Machine Learning · Computer Science 2023-01-11 Daniel Floryan , Michael D. Graham

This paper presents a new approach to behavioral-social dynamics of human crowds. First order models are derived based on mass conservation at the macroscopic scale, while methods of the kinetic theory are used to model the decisional…

Physics and Society · Physics 2015-01-14 Nicola Bellomo , Stefano Berrone , Livio Gibelli , Alexandre Pieri

Collective motion in animal groups emerges from the interplay between individual variability and social coordination, yet connecting these scales quantitatively has remained a major challenge.Using high-resolution trajectories of schooling…

Other Condensed Matter · Physics 2026-01-15 Elena G. de Lamo , M. Carmen Miguel , Romualdo Pastor-Satorras

Moving groups are routinely faced with a choice of different routes as part of their daily lives, such as choosing between exits from a building. Differences in moving speeds and environmental constraints often lead to individuals being…

Physics and Society · Physics 2025-12-16 Anna Sigalou , Yunhe Tong , Charlie Pilgrim , Richard P. Mann , Nikolai W. F. Bode

Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity between pairs of individuals' attitudinal states to their…

Physics and Society · Physics 2015-06-12 Jonathan Ward , Peter Grindrod

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

Self-propelled microparticles create flow fields that determine how they interact with surfaces, external flows, and each other. These flow fields fall into distinct classes--pushers, pullers, and neutral swimmers--each exhibiting…

Soft Condensed Matter · Physics 2025-12-25 Lisa Rohde , Gordei Anchutkin , Viktor Holubec , Frank Cichos

Human activities increasingly take place in online environments, providing novel opportunities for relating individual behaviours to population-level outcomes. In this paper, we introduce a simple generative model for the collective…

Physics and Society · Physics 2014-07-24 James P. Gleeson , Davide Cellai , Jukka-Pekka Onnela , Mason A. Porter , Felix Reed-Tsochas
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