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Collective dynamics in proliferating anisotropic particle systems arise from an interplay between growth, division, and mechanical interactions, often mediated by particle shape. In classical models of prolate, rod-like growth, flow-induced…

Soft Condensed Matter · Physics 2025-12-02 Jonas Isensee , Lukas Hupe , Philip Bittihn

Dynamical systems across many disciplines are modeled as interacting particles or agents, with interaction rules that depend on a very small number of variables (e.g. pairwise distances, pairwise differences of phases, etc...), functions of…

Machine Learning · Computer Science 2022-08-05 Jinchao Feng , Mauro Maggioni , Patrick Martin , Ming Zhong

We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by the distribution of particles itself. The model consists…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Cristobal Lopez

Ordered, collective motions commonly arise spontaneously in systems of many interacting, active units, ranging from cellular tissues and bacterial colonies to self-propelled colloids and animal flocks. Active phases are especially rich when…

Soft Condensed Matter · Physics 2024-07-15 Madhuvanthi Guruprasad Athani , Daniel A. Beller

We present a geometric design rule for size-controlled clustering of self-propelled particles. We show that active particles that tend to rotate under an external force have an intrinsic, signed parameter with units of curvature which we…

A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be…

Statistical Mechanics · Physics 2010-01-05 Guillaume Gregoire , Hugues Chate , Yuhai Tu

We investigate theoretically the collective dynamics of soft active particles living in a viscous fluid. We focus on a minimal model for active but non-motile particles consisting of $N>1$ elastic dimers deformed by active stresses and…

Soft Condensed Matter · Physics 2010-04-09 Denis Bartolo , Eric Lauga

One of the intrinsic characteristics of far-from-equilibrium systems is the nonrelaxational nature of the system dynamics, which leads to novel properties that cannot be understood and described by conventional pathways based on…

Soft Condensed Matter · Physics 2020-11-25 Zhi-Feng Huang , Andreas M. Menzel , Hartmut Löwen

Nonequilibrium many-body transient dynamics play an important role in the adaptation of active matter systems environment changes. However, the generic universal behavior of such dynamics is usually elusive and left as open questions. Here,…

Statistical Mechanics · Physics 2024-03-15 Pei-fang Wu , Wei-chen Guo , Bao-quan Ai , Liang He

Starting from a particle model describing self-propelled particles interacting through nematic alignment, we derive a macroscopic model for the particle density and mean direction of motion. We first propose a mean-field kinetic model of…

Mathematical Physics · Physics 2019-10-08 Pierre Degond , Sara Merino-Aceituno

We investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized solutions in one- and in two-dimensions.In one-dimension,…

Soft Condensed Matter · Physics 2009-10-31 Herbert Levine , Wouter-Jan Rappel , Inon Cohen

We consider two species of self-propelled point particles: A-particles and B-particles. The orientations between nearby particles are subject to pair interactions of different strength for A-A-, A-B-(=B-A-) and B-B-interactions,…

Soft Condensed Matter · Physics 2023-04-13 Rüdiger Kürsten , Jakob Mihatsch , Thomas Ihle

We introduce a simple dynamical rule in which each particle locates a particle that is farthest from it and moves towards it. Repeated application of this algorithm results in the formation of unusual dynamical patterns: during the process…

Dynamical Systems · Mathematics 2019-09-24 Kulveer Singh , Yitzhak Rabin

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

We consider a model of self-propelled dynamics for athermal active particles, where the non-equilibrium active forces are modelled by a Ornstein-Uhlenbeck process. In the limit of no-driving force, the model reduces to the passive, Brownian…

Soft Condensed Matter · Physics 2017-05-05 Niamh Dougan , Peter Crowther , Francesco Turci , C. Patrick Royall

The emerging collective motions of swarms of interacting agents are a subject of great interest in application areas ranging from biology to physics and robotics. In this paper, we conduct a careful analysis of the collective dynamics of a…

Adaptation and Self-Organizing Systems · Physics 2014-09-04 Klementyna Szwaykowska , Luis Mier-y-Teran Romero , Ira B. Schwartz

Utilizing a paradigmatic model for the motion of interacting self-propelled particles, we demonstrate that local accelerations at the level of individual particles can drive transitions between different collective dynamics, leading to a…

Soft Condensed Matter · Physics 2024-01-30 Everton S. Medeiros , Ulrike Feudel

We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individual-based model reveal at least three distinct large-scale…

We consider a two-dimensional athermal binary mixture of Lennard-Jones particles with persistent random active forces. The liquid phase of this system for active forces exceeding a threshold value exhibits self-organization with long-range…

Soft Condensed Matter · Physics 2025-12-24 Atharva Shukla , Chandan Dasgupta

We consider a kinetic model of self-propelled particles with alignment interaction and with precession about the alignment direction. We derive a hydrodynamic system for the local density and velocity orientation of the particles. The…

Mathematical Physics · Physics 2014-04-08 Pierre Degond , Jian-Guo Liu