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We study a continuum model of overdamped self-propelled particles with an aligning interaction in two dimensions. By combining analytical and numerical work, we map out the phase diagram for generic parameters. We find that the system…

Biological Physics · Physics 2011-12-30 Arvind Gopinath , Michael F. Hagan , M. Cristina Marchetti , Aparna Baskaran

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

Soft Condensed Matter · Physics 2016-08-31 R. M. L. Evans , W. C. K. Poon

We study the flocking and pattern formations of active particles with a Vicsek-like model that includes a configuration dependent noise term. In particular, we couple the strength of the noise with both the local density and orientation of…

Biological Physics · Physics 2017-02-09 Kosuke Matsui , John J. Molina

Inspired by motile cells in tissue formation, we find that active systems of self-aligning adhesive particles undergo ballistic aggregation through a flocking transition. This kinetic regime emerges when the cluster persistence length grows…

In active systems, whose constituents have non-equilibrium dynamics at local level, fluid-fluid phase separation is widely observed. Examples include the formation of membraneless organelles within cells; the clustering of self-propelled…

Soft Condensed Matter · Physics 2025-07-11 M. E. Cates , C. Nardini

We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

Soft Condensed Matter · Physics 2016-01-13 Grzegorz Szamel

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

We review some recent work on the synchronization of coupled dynamical systems on a variety of networks. When nodes show synchronized behaviour, two interesting phenomena can be observed. First, there are some nodes of the floating type…

Chaotic Dynamics · Physics 2009-11-11 R. E. Amritkar , Sarika Jalan

Flocking is a prime example of how robust collective behavior can emerge from simple interaction rules. The flocking transition has been studied extensively since the inception of the original Vicsek model. Here, we introduce a novel…

Soft Condensed Matter · Physics 2024-09-18 Eloise Lardet , Raphaël Voituriez , Silvia Grigolon , Thibault Bertrand

We study the synchronization of coupled maps on a variety of networks including regular one and two dimensional networks, scale free networks, small world networks, tree networks, and random networks. For small coupling strengths nodes show…

Chaotic Dynamics · Physics 2009-11-10 Sarika Jalan , R. E. Amritkar

Recently, we proposed a self-propelled particle model with competing alignment interactions: nearby particles tend to align their velocities whereas they anti-align their direction of motion with particles which are further away [R.…

Soft Condensed Matter · Physics 2016-05-02 Robert Großmann , Pawel Romanczuk , Markus Bär , Lutz Schimansky-Geier

Many types of mammalian cells exert active contractile forces and mechanically deform their elastic substrate, to accomplish biological functions such as cell migration. These substrate deformations provide a mechanism by which cells can…

Soft Condensed Matter · Physics 2022-02-22 Subhaya Bose , Patrick S. Noerr , Ajay Gopinathan , Arvind Gopinath , Kinjal Dasbiswas

We consider a specific dynamical system of groups formation. It is based simultaneously on a gradient competition between groups and a strong accumulation inside groups. Such a dynamical system demonstrates interesting behavior of densities…

Dynamical Systems · Mathematics 2022-01-05 Anton A Kutsenko

A hallmark in natural systems, self-organization often stems from very simple interaction rules between individual agents. While single-species self-propelled particle (SPP) systems are well understood, the behavior of binary mixtures with…

Soft Condensed Matter · Physics 2026-03-05 Eloise Lardet , Letian Chen , Thibault Bertrand

Mixtures of active and passive particles are predicted to exhibit a variety of nonequilibrium phases. Here we report a dynamic clustering phase in mixtures of colloids and motile bacteria. We show that colloidal clustering results from a…

Soft Condensed Matter · Physics 2022-05-25 Shreyas Gokhale , Junang Li , Alexandre Solon , Jeff Gore , Nikta Fakhri

We study an active random walker model in which a particle's motion is determined by a self-generated field. The field encodes information about the particle's path history. This leads to either self-attractive or self-repelling behavior.…

Statistical Mechanics · Physics 2009-11-11 R. Grima

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…

Statistical Mechanics · Physics 2020-08-26 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean , T. K. Thoa Thieu

A one-dimensional rule-based model for flocking, that combines velocity alignment and long-range centering interactions, is presented and studied. The induced cohesion in the collective motion of the self-propelled agents leads to a unique…

Statistical Mechanics · Physics 2015-01-19 V. Dossetti

Recent studies of the phase diagram for spherical, purely repulsive, active particles established the existence of a transition from a liquid-like to a solid-like phase analogous to the one observed in colloidal systems at thermal…

Statistical Mechanics · Physics 2020-04-30 Lorenzo Caprini , Claudio Maggi , Umberto Marini Bettolo Marconi , Matteo Paoluzzi , Andrea Puglisi

Non-equilibrium self-organized patterns formed by particles interacting through competing range interaction are driven over a substrate by an external force. We show that, with increasing driving force, the pre-existed static patterns…

Soft Condensed Matter · Physics 2013-08-20 H. J. Zhao , V. R. Misko , F. M. Peeters
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