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Active systems, or active matter, are self-driven systems which live, or function, far from equilibrium - a paradigmatic example which we focus on here is provided by a suspension of self-motile particles. Active systems are far from…

Soft Condensed Matter · Physics 2015-05-19 Giuseppe Gonnella , Davide Marenduzzo , Antonio Suma , Adriano Tiribocchi

We study the phase behavior of polar Active Brownian Particles moving in two-spatial dimensions and interacting through volume exclusion and velocity alignment. We combine particle-based simulations of the microscopic model with a simple…

Soft Condensed Matter · Physics 2018-12-26 Elena Sese-Sansa , Ignacio Pagonabarraga , Demian Levis

In this work, we study the dynamics of a single active Brownian particle, as well as the collective behavior of interacting active Brownian particles, in a fluctuating heterogeneous environment. We employ a variant of the diffusing…

Soft Condensed Matter · Physics 2022-01-05 S. M. J. Khadem , N. H. Siboni , S. H. L. Klapp

Active Brownian particles (ABPs) represent a minimal model of active matter consisting of self-propelled spheres with purely repulsive interactions and rotational noise. Here, we examine the pressure of ABPs in two dimensions in both closed…

Soft Condensed Matter · Physics 2017-01-11 Adam Patch , David Yllanes , M. Cristina Marchetti

Molecular dynamics simulations were employed to investigate the phase separation process of a two-dimensional active Brownian dumbbell model. We evaluated the time dependence of the typical size of the dense component using the scaling…

Soft Condensed Matter · Physics 2024-02-13 C. B. Caporusso , L. F. Cugliandolo , P. Digregorio , G. Gonnella , A. Suma

We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

Analysis of PDEs · Mathematics 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

We study binary mixtures of small active and big passive athermal particles interacting via soft repulsive forces on a frictional substrate. Athermal self propelled particles are known to phase separate into a dense aggregate and a dilute…

Soft Condensed Matter · Physics 2018-07-05 Pritha Dolai , Aditi Simha , Shradha Mishra

We numerically studied active Brownian particles with attractive interactions. Contrary to our intuition, the attractive force between particles disrupts the formation of a single cluster observed in motility-induced phase separation,…

Soft Condensed Matter · Physics 2025-05-27 Sota Shimamura , Nen Saito , Shuji Ishihara

To study the interplay of jamming, cluster formation, and motility-induced phase separation in the zero temperature limit in two dimensions, we consider a simple model system consisting of a bidisperse mixture of disks that are only subject…

Soft Condensed Matter · Physics 2023-06-16 Michael Schmiedeberg

As a result of nonequilibrium forces, purely repulsive self-propelled particles undergo macrophase separation between a dense and a dilute phase. We present a thorough study of the ordering kinetics of such motility-induced phase separation…

We simulate clustering, phase separation and hexatic ordering in a monolayered suspension of active squirming disks subject to an attractive Lennard-Jones-like pairwise interaction potential, taking hydrodynamic interactions between the…

Soft Condensed Matter · Physics 2016-03-31 Ricard Matas Navarro , Suzanne Fielding

Phase separation in a low-density gas-like phase and a high-density liquid-like one is a common trait of biological and synthetic self-propelling particles' systems. The competition between motility and stochastic forces is assumed to fix…

Soft Condensed Matter · Physics 2020-04-15 Pin Nie , Joyjit Chattoraj , Antonio Piscitelli , Patrick Doyle , Ran Ni , Massimo Pica Ciamarra

In active matter, such as the Vicsek Model of flocking, particles possesses an internal degree of freedom, such as their director, which is subject to interaction with other particles, provided they are within a certain range. In an effort…

Statistical Mechanics · Physics 2025-03-07 Letian Chen , Gunnar Pruessner

Studies of active matter, from molecular assemblies to animal groups, have revealed two broad classes of behavior: a tendency to align yields orientational order and collective motion, whereas particle repulsion leads to self-trapping and…

Soft Condensed Matter · Physics 2021-11-23 Jie Zhang , Ricard Alert , Jing Yan , Ned S. Wingreen , Steve Granick

We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume…

Mathematical Physics · Physics 2023-10-31 James Mason , Clement Erignoux , Robert Jack , Maria Bruna

We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purely non-equilibrium stochastic forces correlated with the…

Statistical Mechanics · Physics 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

Suspensions of purely repulsive but self-propelled Brownian particles might undergo phase separation, a phenomenon that strongly resembles the phase separation of passive particles with attractions. Here we employ computer simulations to…

Statistical Mechanics · Physics 2016-08-05 David Richard , Hartmut Löwen , Thomas Speck

Proliferation and motility are ubiquitous drivers of activity in biological systems. Here, we study a dense binary mixture of motile and proliferating particles with exclusively repulsive interactions, where homeostasis in the proliferating…

Soft Condensed Matter · Physics 2025-06-11 Lukas Hupe , Joanna M. Materska , David Zwicker , Ramin Golestanian , Bartlomiej Waclaw , Philip Bittihn

Active soft matter frequently shows motility-induced phase separation (MIPS), where self-propelled particles condensate into clusters with an inner liquid-like structure. Such activity may also result in motility-induced crystallization…

Soft Condensed Matter · Physics 2026-02-24 Max Philipp Holl , Alina Barbar Steinberg , Uwe Thiele

We investigate the phase behavior and kinetics of a monodisperse mixture of active (\textit{i.e.}, self-propelled) and passive isometric Brownian particles through Brownian dynamics simulations and theory. As in a purely active system,…

Soft Condensed Matter · Physics 2015-01-08 Joakim Stenhammar , Raphael Wittkowski , Davide Marenduzzo , Michael E. Cates
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