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Coherent vortical motion has been reported in a wide variety of populations including living organisms (bacteria, fishes, human crowds) and synthetic active matter (shaken grains, mixtures of biopolymers), yet a unified description of the…

Using numerical simulations, we examine the dynamics of active matter run-and-tumble disks moving in a disordered array of obstacles. As a function of increasing active disk density and activity, we find a transition from a completely…

Soft Condensed Matter · Physics 2019-09-13 C. J. O. Reichhardt , C. Reichhardt

Active particles under soft confinement such as droplets or vesicles present intriguing phenomena, as collective motion emerges alongside the deformation of the environment. A model is employed to systematically investigate droplet…

Soft Condensed Matter · Physics 2024-07-25 Javier Diaz , Ignacio Pagonabarraga

In this review we summarize theoretical progress in the field of active matter, placing it in the context of recent experiments. Our approach offers a unified framework for the mechanical and statistical properties of living matter:…

Soft Condensed Matter · Physics 2012-07-13 M. C. Marchetti , J. -F. Joanny , S. Ramaswamy , T. B. Liverpool , J. Prost , Madan Rao , R. Aditi Simha

Active matter composed of energy-generating microscopic constituents is a promising platform to create autonomous functional materials. However, the very presence of these microscopic energy sources is what makes active matter prone to…

Soft Condensed Matter · Physics 2025-07-15 Martin Brandenbourger , Colin Scheibner , Jonas Veenstra , Vincenzo Vitelli , Corentin Coulais

A great number of biological organisms live in aqueous environments. Major evolutionary transitions, including the emergence of life itself, likely occurred in such environments. While the chemical aspects of the role of water in biology…

Populations and Evolution · Quantitative Biology 2020-07-01 Madison S. Krieger , Sam Sinai , Martin A. Nowak

Active matter has been intensely studied for its wealth of intriguing properties such as collective motion, motility-induced phase separation (MIPS), and giant fluctuations away from criticality. However, the precise connection of active…

Statistical Mechanics · Physics 2019-04-17 Juliane U. Klamser , Sebastian C. Kapfer , Werner Krauth

We introduce an active matter model composed of sterically interacting particles which absorb resources from a substrate and move in response to resource gradients. For varied ratios of absorption rate to substrate recovery rate, we find a…

Soft Condensed Matter · Physics 2024-04-23 L. Varga , A. Libal , C. J. O. Reichhardt , C. Reichhardt

Active flows are central to mixing and transport across living systems. While Newtonian fluids remain laminar, diffusive and predictable at the microscale, living fluids like dense bacterial suspensions can exhibit highly chaotic flows like…

Fluid Dynamics · Physics 2026-05-26 Suvarchalanjan Bellaganti , Amal Manoharan , Kirti Kashyap , Siddhartha Mukherjee

We describe an efficient and parsimonious matrix-based theory for studying the ensemble behavior of self-propellers and active swimmers, such as nanomotors or motile bacteria, that are typically studied by differential-equation-based…

Soft Condensed Matter · Physics 2014-09-11 Amir Nourhani , Paul E. Lammert , Ali Borhan , Vincent H. Crespi

Active matter consists of self-propelled elements exhibits fascinating collective motions ranging from biological to artificial systems. Among wide varieties of active matter systems, reconstituted bio-filaments moving on molecular motor…

Soft Condensed Matter · Physics 2020-03-25 Sakurako Tanida , Ken'ya Furuta , Kaori Nishikawa , Tetsuya Hiraiwa , Hiroaki Kojima , Kazuhiro Oiwa , Masaki Sano

Mechanochemical processes on surfaces such as the cellular cortex or epithelial sheets, play a key role in determining patterns and shape changes of biological systems. To understand the complex interplay of hydrodynamics and material flows…

Soft Condensed Matter · Physics 2023-05-04 Lucas D. Wittwer , Sebastian Aland

We introduce a class of lattice gas models of active matter systems whose hydrodynamic description can be derived exactly. We illustrate our approach by considering two systems exhibiting two of the most studied collective behaviours in…

Statistical Mechanics · Physics 2018-07-04 Mourtaza Kourbane-Houssene , Clément Erignoux , Thierry Bodineau , Julien Tailleur

Living materials such as biological tissues or bacterial colonies are collections of heterogeneous entities of different sizes, capable of autonomous motion, and often capable of cooperating. Such a degree of complexity brings to collective…

Soft Condensed Matter · Physics 2024-01-24 Matteo Paoluzzi , Demian Levis , Ignacio Pagonabarraga

Living materials such as membranes, cytoskeletal assemblies, cell collectives and tissues can often be described as active solids -- materials that are energized from within, with elastic response about a well defined reference…

Soft Condensed Matter · Physics 2025-12-15 Yuan Zhou , Lazaros Tsaloukidis , Jack Binysh , Yuchao Chen , Nikta Fakhri , Corentin Coulais , Piotr Surówka

Using agent-based simulations of self-propelled particles subject to short-range repulsion and nematic alignment we explore the dynamical phases of a dense active material confined to the surface of a sphere. We map the dynamical phase…

Soft Condensed Matter · Physics 2018-04-25 Silke Henkes , M. Cristina Marchetti , Rastko Sknepnek

Active matter refers to a broad class of non-equilibrium systems where energy is continuously injected at the level of individual ``particles". These systems exhibit emergent collective behaviors that have no direct thermal-equilibrium…

Soft Condensed Matter · Physics 2026-02-10 Zihan Zheng , Cunyuan Jiang , Yangrui Chen , Matteo Baggioli , Jie Zhang

Active matter comprised of many self-driven units can exhibit emergent collective behaviors such as pattern formation and phase separation in both biologica and synthetic systems. While these behaviors are increasingly well understood for…

Soft Condensed Matter · Physics 2015-07-27 Syeda Sabrina , Matthew Spellings , Sharon C. Glotzer , Kyle J. M. Bishop

A wide range of experimental systems including gliding, swarming and swimming bacteria, in-vitro motility assays as well as shaken granular media are commonly described as self-propelled rods. Large ensembles of those entities display a…

Statistical Mechanics · Physics 2021-01-18 Markus Bär , Robert Großmann , Sebastian Heidenreich , Fernando Peruani

Self-organization phenomena in ensembles of self-propelled particles open pathways to the synthesis of new dynamic states not accessible by traditional equilibrium processes. The challenge is to develop a set of principles that facilitate…

Soft Condensed Matter · Physics 2022-05-26 Bo Zhang , Alexey Snezhko , Andrey Sokolov