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Active matter consumes energy from the environment and transforms it into mechanical work. Notable examples from biology include cell division, bacterial swarms, and muscle contraction. In this work, we investigate the nature of active…

Soft Condensed Matter · Physics 2023-09-28 Michael J. Landry

Active matter systems comprise self-propelled particles that move on a substrate while leaving chemical trails that influence other particles through chemotaxis (e.g., slime-depositing bacteria). Orientational chemotaxis manifests as a…

Soft Condensed Matter · Physics 2025-12-11 Aymeric Lutier , Frédéric van Wijland , Jean-Baptiste Fournier

We examine a two-dimensional system of sterically repulsive interacting disks where each particle runs in a random direction. This system is equivalent to a run-and-tumble dynamics system in the limit where the run time is infinite. At low…

Soft Condensed Matter · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

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

Living systems routinely consume energy to achieve motility, often using intricate biomolecular machinery. In this work, we show that active droplets can sustain indefinite self-propulsion of a spherical colloid in an otherwise homogeneous,…

Soft Condensed Matter · Physics 2026-05-01 Benjamin Sorkin , Ned S. Wingreen

A number of novel experimental and theoretical results have recently been obtained on active soft matter, demonstrating the various interesting universal and anomalous features of this kind of driven systems. Here we consider a fundamental…

Soft Condensed Matter · Physics 2015-06-12 Enys Mones , András Czirók , Tamás Vicsek

Membraneless droplets or liquid condensates formed via liquid-liquid phase separation (LLPS) play a pivotal role in cell biology and hold potential for biomedical engineering. While membraneless droplets are often studied in the context of…

Soft Condensed Matter · Physics 2025-11-07 Chenxi Liu , Ding Cao , Siyu Liu , Yilin Wu

Combining model experiments and theory, we investigate the dense phases of polar active matter beyond the conventional flocking picture. We show that above a critical density flocks assembled from self-propelled colloids arrest their…

Soft Condensed Matter · Physics 2019-09-18 Geyer Delphine , Martin David , Tailleur Julien , Denis Bartolo

Using a minimal model of active Brownian discs, we study the effect of a crucial parameter, namely the softness of the inter-particle repulsion, on motility-induced phase separation. We show that an increase in particle softness reduces the…

Soft Condensed Matter · Physics 2021-05-19 Monika Sanoria , Raghunath Chelakkot , Amitabha Nandi

Active matter systems may be characterised by the conversion of energy into active motion, e.g. the self-propulsion of microorganisms. Artificial active colloids form models which exhibit essential properties of more complex biological…

Soft Condensed Matter · Physics 2021-07-19 Abraham Mauleon-Amieva , Michael P. Allen , C. Patrick Royall

Self-powered motion in catalytic colloidal particles provides a compelling example of active matter, i.e. systems that engage in single-particle and collective behavior far from equilibrium. The long-time, long-distance behavior of such…

Soft Condensed Matter · Physics 2017-10-25 Young-Moo Byun , Paul E. Lammert , Yiying Hong , Ayusman Sen , Vincent H. Crespi

Self-propelled particles in anisotropic environments can exhibit a motility that depends on their orientation. This dependence is relevant for a plethora of living organisms but difficult to study in controlled environments. Here, we…

Soft Condensed Matter · Physics 2023-10-27 Alexander R. Sprenger , Christian Scholz , Anton Ldov , Raphael Wittkowski , Hartmut Löwen

Non-equilibrium clustering and percolation are investigated in an archetypal model of two-dimensional active matter using dynamic simulations of self-propelled Brownian repulsive particles. We concentrate on the single-phase region up to…

Statistical Mechanics · Physics 2024-09-09 David Evans , José Martín-Roca , Nathan J. Harmer , Chantal Valeriani , Mark A. Miller

Active matter systems are able to exhibit emergent non-equilibrium states due to activity-induced effective interactions between the active particles. Here we study the aggregation and dynamical behavior of active rotating particles,…

Soft Condensed Matter · Physics 2017-01-25 Juan L. Aragones , Joshua P. Steimel , Alfredo Alexander-Katz

Thanks to a constant energy input, active matter can self-assemble into phases with complex architectures and functionalities such as living clusters that dynamically form, reshape and break-up, which are forbidden in equilibrium materials…

Soft Condensed Matter · Physics 2019-03-27 Falko Schmidt , Benno Liebchen , Hartmut Löwen , Giovanni Volpe

Active systems are driven out of equilibrium by exchanging energy and momentum with their environment. This endows them with anomalous mechanical properties that we review in this colloquium for the case of dry scalar active matter, which…

Soft Condensed Matter · Physics 2025-01-20 Omer Granek , Yariv Kafri , Mehran Kardar , Sunghan Ro , Alexandre Solon , Julien Tailleur

Recent theoretical studies found that mixtures of active and passive colloidal particles phase separate but only at very high activity ratio. The high value poses serious obstacles for experimental exploration of this phenomenon. Here we…

Soft Condensed Matter · Physics 2017-03-08 Jan Smrek , Kurt Kremer

Motility and nonreciprocity are two primary mechanisms for self-organization in active matter. In a recent study [Phys. Rev. Lett. 131, 148301 (2023)], we explored their joint influence in a minimal model of two-species quorum-sensing…

Soft Condensed Matter · Physics 2025-04-15 Yu Duan , Jaime Agudo-Canalejo , Ramin Golestanian , Benoît Mahault

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

We study interacting active Brownian particles (ABPs) with a space-dependent swim velocity via simulation and theory. We find that, although an equation of state exists, a mechanical equilibrium does not apply to ABPs in activity…

Soft Condensed Matter · Physics 2024-12-13 Adam Wysocki , Anil K. Dasanna , Heiko Rieger