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We derive from first principles a three-dimensional theory of self-propelled particle swarming in a viscous fluid environment. Our model predicts emergent collective behavior that depends critically on fluid opacity, mechanism of…

Soft Condensed Matter · Physics 2026-05-12 Yao-Li Chuang , M. R. D'Orsogna , T. Chou

Understanding the pattern formation in communities has been at the center of attention in various fields. Here we introduce a novel model, called an "information-particle model," which is based on the reaction-diffusion model and the…

Physics and Society · Physics 2023-07-21 Junichi Miyakoshi

We introduce and analyse a continuum model for an interacting particle system of Vicsek type. The model is given by a non-linear kinetic partial differential equation (PDE) describing the time-evolution of the density $f_t$, in the single…

Mathematical Physics · Physics 2022-04-11 Paolo Buttà , Franco Flandoli , Michela Ottobre , Boguslaw Zegarlinski

The flocking of self-propelled particles in heterogeneous environments is relevant to both natural and artificial systems. The Vicsek model is a canonical choice to investigate such systems due to the minimal number of parameters required…

Computational Physics · Physics 2024-12-11 Eighdi Aung , Nicole Abaid , James E. McClure

The motion of self-propelled particles is modeled as a persistent random walk. An analytical framework is developed that allows the derivation of exact expressions for the time evolution of arbitrary moments of the persistent walk's…

Soft Condensed Matter · Physics 2015-07-28 Zeinab Sadjadi , M. Reza Shaebani , Heiko Rieger , Ludger Santen

We use a combination of unsupervised clustering and sparsity-promoting inference algorithms to learn locally dominant force balances that explain macroscopic pattern formation in self-organized active particle systems. The self-organized…

Soft Condensed Matter · Physics 2023-07-28 Dominik Sturm , Suryanarayana Maddu , Ivo F. Sbalzarini

Large-scale collective behavior in suspensions of many particles can be understood from the balance of statistical forces emerging beyond the direct microscopic particle interactions. Here we review some aspects of the collective forces…

Statistical Mechanics · Physics 2020-10-19 Thomas Speck

We study an interacting high-density one-dimensional system of self-propelled particles described by the Active Ornstein-Uhlenbeck particle (AOUP) model where, even in the absence of alignment interactions, velocity and energy domains…

Statistical Mechanics · Physics 2020-10-07 Lorenzo Caprini , Umberto Marini Bettolo Marconi

The dynamical properties and diffusive behavior of a collection of mutually interacting particles are numerically investigated for two types of long-range interparticle interactions: Coulomb-electrostatic and dipole-electrodynamic. It is…

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle…

Statistical Mechanics · Physics 2017-01-04 Takayuki Hiraoka , Takashi Shimada , Nobuyasu Ito

We study the formation of coherent structures in a system with long-range interactions where particles moving on a circle interact through a repulsive cosine potential. Non equilibrium structures are shown to correspond to statistical…

Statistical Mechanics · Physics 2009-11-07 Julien Barre' , Freddy Bouchet , Thierry Dauxois , Stefano Ruffo

Curvature plays a central role in the proper function of many biological processes. With active matter being a standard framework for understanding many aspects of the physics of life, it is natural to ask what effect curvature has on the…

Soft Condensed Matter · Physics 2026-01-27 Euan D. Mackay , Giulia Janzen , D. A. Matoz Fernandez , Rastko Sknepnek

In active fluids and active solids the constituents individually generate movement by each extracting energy from their environment or from their own source. Non-reciprocal interactions among these active constituents then enable novel…

Soft Condensed Matter · Physics 2025-03-18 Brady Wu , Qinghao Mao , Bryan VanSaders , Heinrich M. Jaeger

Recent studies suggest that non-cooperative behavior such as cannibalism may also be a driving mechanism of collective motion. Motivated by these novel results we introduce a simple model of Brownian particles interacting by pursuit and…

Statistical Mechanics · Physics 2009-11-13 Pawel Romanczuk , Iain D. Couzin , Lutz Schimansky-Geier

A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model particles are driven with a constant…

Statistical Mechanics · Physics 2007-05-23 Tamas Vicsek , Andras Czirok , Eshel Ben-Jacob , Inon Cohen , Ofer Sochet

Cooperative transport is a striking phenomenon where multiple agents join forces to transit a payload too heavy for the individual. While social animals such as ants are routinely observed to coordinate transport at scale, reproducing the…

Active particles with a (magnetic) dipole moment are of interest for steering self-propelled motion, but also result in novel collective effects due to their dipole-dipole interaction. Here systems of active dipolar particles are studied…

Soft Condensed Matter · Physics 2025-12-30 Vitali Telezki , Stefan Klumpp

We recently argued that a self-propelled particle is formally equivalent to a system consisting of two subsystems coupled by a non-reciprocal interaction [Phys. Rev. E 100, 050603(R) (2019)]. Here we show that this non-reciprocal coupling…

Soft Condensed Matter · Physics 2020-10-14 Grzegorz Szamel

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

The quest on how to collectively self-organize in order to maximize the survival chances of the members of a social group requires finding an optimal compromise between maximizing the well-being of an individual and that of the group. Here…

Soft Condensed Matter · Physics 2021-12-08 Alexandra V. Zampetaki , Benno Liebchen , Alexei V. Ivlev , Hartmut Löwen