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Macroscopic models for systems involving diffusion, short-range repulsion, and long-range attraction have been studied extensively in the last decades. In this paper we extend the analysis to a system for two species interacting with each…

Analysis of PDEs · Mathematics 2018-03-23 Martin Burger , Marco Di Francesco , Simone Fagioli , Angela Stevens

Nonreciprocal interactions violating Newton's third law are common in a plethora of nonequilibrium situations ranging from predator-prey systems to the swarming of birds and effective colloidal interactions under flow. While many recent…

Soft Condensed Matter · Physics 2025-10-07 Zhi-Feng Huang , Michael te Vrugt , Jonas Mayer Martins , Raphael Wittkowski , Hartmut Löwen

Active matter, encompassing natural systems, converts surrounding energy to sustain autonomous motion, exhibiting unique non-equilibrium behaviors such as active turbulence and phase separation. In this study, we develop a continuum…

Soft Condensed Matter · Physics 2026-05-06 Sohail Ahmed , Zixiang Lin , Zijie Qu

Motility-induced phase separation (MIPS) is a nonequilibrium phase separation that has a different origin from equilibrium phase separation induced by attractive interactions. Similarities and differences in collective behaviors between…

Statistical Mechanics · Physics 2024-01-23 Hiroyoshi Nakano , Kyosuke Adachi

We review recent experimental, numerical, and analytical results on active suspensions of self-propelled colloidal beads moving in (quasi) two dimensions. Active colloids form part of the larger theme of active matter, which is noted for…

Soft Condensed Matter · Physics 2014-09-03 Julian Bialké , Thomas Speck , Hartmut Löwen

Dense active matter, from bacterial suspensions and microtubule bundles driven by motor proteins to cellular monolayers and synthetic Janus particles, is characterised by mesoscale turbulence, the emergence of chaotic flow structures. By…

Soft Condensed Matter · Physics 2016-06-22 Sumesh P. Thampi , Amin Doostmohammadi , Tyler N. Shendruk , Ramin Golestanian , Julia M. Yeomans

Active matter is a new class of material, intrinsically out-of equilibrium with intriguing properties. So far, the recent upsurge of studies has mostly focused on the spontaneous behavior of these systems --in the absence of external…

Soft Condensed Matter · Physics 2016-09-28 Nicolas Waisbord , Christopher Lefevre , Lyderic Bocquet , Christophe Ybert , Cecile Cottin-Bizonne

A diffusion-reaction model for the growth of bacterial colonies is presented. The often observed cooperative behavior developed by bacteria which increases their motility in adverse growth conditions is here introduced as a nonlinear…

Condensed Matter · Physics 2009-10-31 A. M. Lacasta , I. R. Cantalapiedra , C. E. Auguet , A. Penaranda , L. Ramirez-Piscina

The study of systems with sustained energy uptake and dissipation at the scale of the constituent particles is an area of central interest in nonequilibrium statistical physics. Identifying such systems as a distinct category -- Active…

Statistical Mechanics · Physics 2017-06-07 Sriram Ramaswamy

Active matter comprised of self-propelled interacting units holds a major promise for extraction of useful work from its seemingly chaotic out-of-equilibrium dynamics. Streamlining active matter to produce work is especially important at…

Soft Condensed Matter · Physics 2021-03-17 Mojtaba Rajabi , Hend Baza , Taras Turiv , Oleg D. Lavrentovich

Microphase separation of membrane components is thought to play an important role in many physiological processes, from cell signaling to endocytosis and cellular trafficking. Here, we study how variations in the membrane composition can be…

Subcellular Processes · Quantitative Biology 2015-05-20 Pierre Sens , Matthew S. Turner

Activity and autonomous motion are fundamental in living and engineering systems. This has stimulated the new field of active matter in recent years, which focuses on the physical aspects of propulsion mechanisms, and on motility-induced…

We study the clustering of a model cyanobacterium \textit{Synechocystis} into microcolonies. The bacteria are allowed to diffuse onto surfaces of different hardness, and interact with the others by aggregation and detachment. We find that…

Biological Physics · Physics 2020-03-04 Thomas Vourc'h , Julien Léopoldès , Hassan Peerhossaini

Active matter systems are inherently out of equilibrium and break the detailed balance (DB) at the microscopic scale, exhibiting vital collective phenomena such as motility-induced phase separation (MIPS). Here, we introduce a…

Soft Condensed Matter · Physics 2022-11-30 Jie Su , Zhiyu Cao , Jin Wang , Huijun Jiang , Zhonghuai Hou

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

Activity and autonomous motion are fundamental aspects of many living and engineering systems. Here, the scale of biological agents covers a wide range, from nanomotors, cytoskeleton, and cells, to insects, fish, birds, and people. Inspired…

Dynamical clustering represents a characteristic feature of active matter consisting of self-propelled agents that convert energy from the environment into mechanical motion. At the micron scale, typical of overdamped dynamics, particles…

Soft Condensed Matter · Physics 2024-06-04 Lorenzo Caprini , Davide Breoni , Anton Ldov , Christian Scholz , Hartmut Löwen

We introduce a minimal model for a collection of self-propelled apolar active particles, also called as `active nematic', on a two-dimensional substrate and study the order-disorder transition with the variation of density. The particles…

Statistical Mechanics · Physics 2015-09-18 Rakesh Das , Manoranjan Kumar , Shradha Mishra

Active matter comprises individual units that convert energy into mechanical motion. In many examples, such as bacterial systems and biofilament assays, constituent units are elongated and can give rise to local nematic orientational order.…

Soft Condensed Matter · Physics 2020-11-17 He Li , Xia-qing Shi , Mingji Huang , Xiao Chen , Mingfeng Xiao , Chenli Liu , Hugues Chate , H. P. Zhang

Active fluids refer to the fluids that contain self-propelled particles such as bacteria or micro-algae, whose properties differ fundamentally from the passive fluids. Such particles often exhibit an intermittent motion, with high-motility…

Biological Physics · Physics 2020-03-05 Thomas Vourc'h , Julien Léopoldès , Hassan Peerhossaini