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Motility-induced phase separation (MIPS) arises generically in fluids of self-propelled particles when interactions lead to a kinetic slowdown at high densities. Starting from a continuum description of scalar active matter, akin to a…

Statistical Mechanics · Physics 2018-02-28 Alexandre P. Solon , Joakim Stenhammar , Michael E. Cates , Yariv Kafri , Julien Tailleur

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

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

We review a few representative examples of granular experiments or models where phase separation, accompanied by domain coarsening, is a relevant phenomenon. We first elucidate the intrinsic non-equilibrium, or athermal, nature of granular…

Statistical Mechanics · Physics 2015-04-29 Andrea Baldassarri , Andrea Puglisi , Alessandro Sarracino

Motility-induced phase separation (MIPS) is a central collective phenomenon in active matter, theoretically established in the overdamped regime. We discover that the dynamical origin of MIPS is fundamentally altered by inertia, which…

Self-propulsion allows living systems to display unusual collective behavior. Unlike passive systems in thermal equilibrium, active matter systems are not constrained by conventional thermodynamic laws. A question arises however as to what…

Soft Condensed Matter · Physics 2015-03-18 Sho C. Takatori , John F. Brady

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

Active matter is a term encompassing particle-based assemblies with some form of self-propulsion, including certain biological systems as well as synthetic systems such as artificial colloidal swimmers, all of which can exhibit a remarkable…

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

Active transport of biomolecular condensates and cell migration in collectives are fundamental to development, homeostasis, and processes such as cancer progression, wound healing, and infection response. Yet how these assemblies are…

Soft Condensed Matter · Physics 2025-10-24 Hossein Vahid , Jens-Uwe Sommer , Abhinav Sharma

Active matter comprises self-driven units, such as bacteria and synthetic microswimmers, that can spontaneously form complex patterns and assemble into functional microdevices. These processes are possible thanks to the out-of-equilibrium…

Soft Condensed Matter · Physics 2021-11-17 Jens Grauer , Falko Schmidt , Jesus Pineda , Benjamin Midtvedt , Hartmut Löwen , Giovanni Volpe , Benno Liebchen

We present the Brownian dynamics simulation of active colloidal suspension in two dimensions, where the self-propulsion speed of a colloid is regulated according to the local density sensed by it. The role of concentration-dependent…

Soft Condensed Matter · Physics 2021-01-29 Francis Jose , Shalabh K. Anand , Sunil P. Singh

Phase separation drives the formation of biomolecular condensates in cells, which comprise many components and sometimes possess multiple phases. The equilibrium physics of phase separation is well understood, but many components in…

Soft Condensed Matter · Physics 2025-08-14 Yicheng Qiang , Chengjie Luo , David Zwicker

Phase separation, the spontaneous segregation of density, is a ubiquitous phenomenon observed across diverse physical and biological systems. Within a crowd of motile elements, active phase separation emerges from the interplay of activity…

Soft Condensed Matter · Physics 2026-01-26 Kyosuke Adachi

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

Understanding the out-of-equilibrium properties of noisy microscale systems and the extent to which they can be modulated externally, is a crucial scientific and technological challenge. It holds the promise to unlock disruptive new…

Soft Condensed Matter · Physics 2022-09-21 Stephen Williams , Raphaël Jeanneret , Idan Tuval , Marco Polin

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

Swimmers and self-propelled particles are physical models for the collective behaviour and motility of a wide variety of living systems, such as bacteria colonies, bird flocks and fish schools. Such artificial active materials are amenable…

Friction is central to the motion of active (self-propelled) objects such as bacteria, animals, and robots. While in a viscous fluid friction is described by Stokes's law, objects in contact with other solid bodies are often governed by…

Soft Condensed Matter · Physics 2024-11-12 Alexander P. Antonov , Lorenzo Caprini , Anton Ldov , Christian Scholz , Hartmut Löwen

Large ensembles of interacting, out-of-equilibrium agents are a paradigm of active matter. Their constituents' intrinsic activity may entail the spontaneous separation into localized phases of high and low densities. Motile microbes,…

One of the most notable features in repulsive particle based active matter systems is motility-induced-phase separation (MIPS) where a dense, often crystalline phase coexists with a low density fluid. In most active matter studies, the…

Soft Condensed Matter · Physics 2024-04-23 P. Forgacs , A. Libal , C. Reichhardt , N. Hengartner , C. J. O. Reichhardt