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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

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

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 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

Minimal models of self-propelled particles with short-range volume exclusion interactions have been shown to exhibit signatures of phase separation. Here I show that the observed interfacial stability and fluctuations in motility-induced…

Soft Condensed Matter · Physics 2017-01-11 Chiu Fan Lee

Self-propelled particles include both self-phoretic synthetic colloids and various micro-organisms. By continually consuming energy, they bypass the laws of equilibrium thermodynamics. These laws enforce the Boltzmann distribution in…

Soft Condensed Matter · Physics 2015-04-15 Michael E. Cates , Julien Tailleur

We simulate active Brownian particles (ABPs) with soft-repulsive interactions subjected to a four-roll-mill flow. In the absence of flow, this system exhibits motility-induced phase separation (MIPS). To investigate the interplay between…

Soft Condensed Matter · Physics 2025-05-28 Soni D. Prajapati , Akshay Bhatnagar , Anupam Gupta

Self-propulsion in run-and-tumble particles (RTPs) generates effective attractive interactions that can drive motility-induced phase separation (MIPS), a phenomenon absent in passive systems. Here, we investigate RTPs in the presence of…

Statistical Mechanics · Physics 2025-10-22 Abir Bhowmick , Sayantan Mitra , P. K. Mohanty

Phase diagram of the phenomenon of motility induced phase separation (MIPS) for a collection of self-propelled interacting disks is explored using Langevin dynamics simulation with particular emphasis on disk wall softness and the range of…

Soft Condensed Matter · Physics 2022-01-20 Soumen De Karmakar , Rajaraman Ganesh

Lattice models allow for a computationally efficient investigation of motility-induced phase separation (MIPS) compared to off-lattice systems. Simulations are less demanding and thus bigger systems can be accessed with higher accuracy and…

Statistical Mechanics · Physics 2021-01-26 Florian Dittrich , Thomas Speck , Peter Virnau

We study motility-induced phase separation (MIPS) in symmetric and asymmetric active binary mixtures. We start with the coarse-grained run-and-tumble bacterial model that provides evolution equations for the density fields $\rho_i(\vec r,…

Soft Condensed Matter · Physics 2024-10-02 Sayantan Mondal , Prasenjit Das

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

Understanding the mechanical properties of active suspensions is crucial for their potential applications in materials engineering. Among the various phenomena in active matter that have no analogue in equilibrium systems, motility-induced…

Soft Condensed Matter · Physics 2025-11-10 José Martín-Roca , Chantal Valeriani , Kristian Thijssen , Tyler Shendruk , Angelo Cacciuto

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

Active matter systems, from self-propelled colloids to motile bacteria, are characterized by the conversion of free energy into useful work at the microscopic scale. They involve physics beyond the reach of equilibrium statistical…

Statistical Mechanics · Physics 2024-06-18 Nicholas M. Boffi , Eric Vanden-Eijnden

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

Motility-induced phase separation (MIPS), the phenomenon in which purely repulsive active particles undergo a liquid-gas phase separation, is among the simplest and most widely studied examples of a nonequilibrium phase transition. Here, we…

Soft Condensed Matter · Physics 2021-05-11 Ahmad K. Omar , Katherine Klymko , Trevor GrandPre , Phillip L. Geissler

Suspensions of Active Brownian Particles (ABP) undergo motility induced phase separation (MIPS) over a wide range of mean density and activity strength [1], even in the absence of an explicit attraction. Negative values of the mechanical…

Soft Condensed Matter · Physics 2022-02-07 Enrique Chacon , Francisco Alarcon , Jorge Ramirez , Pedro Tarazona , Chantal Valeriani

We study a system of purely repulsive spherical self-propelled particles in the minimal set-up inducing Motility-Induced Phase Separation (MIPS). We show that, even if explicit alignment interactions are absent, a growing order in the…

Statistical Mechanics · Physics 2020-02-26 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Andrea Puglisi

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