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We study non-equilibrium phases for interacting two-dimensional self-propelled particles with isotropic pair-wise interactions using a persistent kinetic Monte Carlo (MC) approach. We establish the quantitative phase diagram, including the…

Soft Condensed Matter · Physics 2019-04-17 Juliane U. Klamser , Sebastian C. Kapfer , Werner Krauth

Motility-Induced Phase Separation (MIPS) is a distinctive phenomenon in active matter that arises from its inherent non-equilibrium nature. Despite recent progress in understanding MIPS in dry active systems, it has been debated whether…

Soft Condensed Matter · Physics 2025-10-01 Tingtao Zhou , John F. Brady

The motility-induced phase separation (MIPS) phenomenon in active matter has been of great interest for the past decade or so. A central conceptual puzzle is that this behavior, which is generally characterized as a nonequilibrium…

Statistical Mechanics · Physics 2024-05-28 Venkat Venkatasubramanian , Abhishek Sivaram , N. Sanjeevrajan , Arun Sankar

We study the dynamical steady-states of a monolayer of chemically active self-phoretic colloids as a function of packing fraction and self-propulsion speed by means of Brownian dynamics simulations. We focus on the case that a chemical…

Soft Condensed Matter · Physics 2022-03-11 Federico Fadda , D. A. Matoz-Fernandez , René van Roij , Sara Jabbari-Farouji

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 study motility-induced phase separation~(MIPS) in active AB binary mixtures undergoing the chemical reaction $A \rightleftharpoons B$. Starting from the evolution equations for the density fields $\rho_i(\vec r, t)$ describing MIPS, we…

Soft Condensed Matter · Physics 2025-05-05 Sayantan Mondal , Prasenjit Das

We investigate the nonequilibrium dynamics of active matter using a two-dimensional active Brownian particles model. In these systems, self-propelled particles undergo motility-induced phase separation (MIPS), spontaneously segregating into…

Soft Condensed Matter · Physics 2026-02-26 Toranosuke Umemura , Issei Sakai , Takuma Akimoto

We demonstrate that active rotations in chemically signalling particles, such as autochemotactic {\it E. coli} close to walls, create a route for pattern formation based on a nonlinear yet deterministic instability mechanism. For slow…

Soft Condensed Matter · Physics 2016-08-19 Benno Liebchen , Michael E. Cates , Davide Marenduzzo

In a system of Self-Propelled Particles (SPPs), the combination of self-propulsion and excluded volume effects can result in a phase separation called Motility-Induced Phase Separation (MIPS). Previous studies reported that MIPS is one of…

Soft Condensed Matter · Physics 2025-07-03 Hiroya Yamamoto

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

Motility-induced phase separation (MIPS) is of great importance and has been extensively researched in overdamped systems, nevertheless, what impacts inertia will bring on kinetics of MIPS is lack of investigation. Here, we find that, not…

Soft Condensed Matter · Physics 2020-09-09 Jie Su , Huijun Jiang , Zhonghuai Hou

Motility-induced phase separation (MIPS) leads to cohesive active matter in the absence of cohesive forces. We present, extend and illustrate a recent generalized thermodynamic formalism which accounts for its binodal curve. Using this…

Statistical Mechanics · Physics 2018-10-11 Alexandre P. Solon , Joakim Stenhammar , Michael E. Cates , Yariv Kafri , Julien Tailleur

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

Particles that are catalytically-active and chemotactic can interact through the concentration fields upon which they act, which in turn may lead to wide-scale spatial self-organization. When these active particles interact through several…

Soft Condensed Matter · Physics 2023-10-12 Vincent Ouazan-Reboul , Ramin Golestanian , Jaime Agudo-Canalejo

As a result of the competition between self-propulsion and excluded volume interactions, purely repulsive self-propelled spherical particles undergo a motility-induced phase separation (MIPS). We carry out a systematic computational study,…

Soft Condensed Matter · Physics 2017-03-08 Demian Levis , Joan Codina , Ignacio Pagonabarraga

To study the role of torque in motility-induced phase separation (MIPS), we simulate a system of self-propelled particles whose shape varies smoothly from isotropic (disks/spheres) to weakly elongated (rods). We construct the phase diagrams…

Statistical Mechanics · Physics 2019-05-10 Robin van Damme , Jeroen Rodenburg , René van Roij , Marjolein Dijkstra

The aim of this paper is to discuss the mathematical modeling of Brownian active particle systems, a recently popular paradigmatic system for self-propelled particles. We present four microscopic models with different types of repulsive…

Statistical Mechanics · Physics 2022-05-31 M. Bruna , M. Burger , A. Esposito , S. M. Schulz

Using a multi-phase field model, we examine how particle deformability, which is a proxy for cell stiffness, affects motility induced phase separation (MIPS). We show that purely repulsive deformable, i.e., squishy, cells phase separate…

Soft Condensed Matter · Physics 2025-02-12 Austin Hopkins , Benjamin Loewe , Michael Chiang , Davide Marenduzzo , M. Cristina Marchetti

In contrast to equilibrium systems, inertia can profoundly impact the phase behavior of active systems. This has been made particularly evident in recent years, with motility-induced phase separation (MIPS) exhibiting several intriguing…

Soft Condensed Matter · Physics 2025-04-21 Jiechao Feng , Ahmad K. Omar

We introduce a system of active matter swarmalators composed of elastically interacting run-and-tumble active disks with an internal phase $\phi_i$. The disks experience an additional attractive or repulsive force with neighboring disks…

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