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Active particles may undergo phase separation when interactions oppose self-propulsion, in the absence of any cohesive forces. The corresponding Motility-Induced Phase Separation (MIPS) is arguably the simplest non-trivial collective…

Soft Condensed Matter · Physics 2023-12-19 Jérémy O'Byrne , Alexandre Solon , Julien Tailleur , Yongfeng Zhao

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

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…

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

Motility-induced phase separation, MIPS, is arguably the most well-studied collective phenomenon occurring in active matter without alignment interactions (scalar active matter). Its basic origin is simple: since self-propelled particles…

Soft Condensed Matter · Physics 2021-12-10 Joakim Stenhammar

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

Motility-induced phase separation (MIPS) is a well-studied nonequilibrium collective phenomenon observed in active particles. Recently, there has been growing interest in how coupling the self-propulsion of active particles to chemical…

Soft Condensed Matter · Physics 2025-07-14 Euijoon Kwon , Yongjae Oh , Yongjoo Baek

We derive a dynamical field theory for self-propelled particles subjected to generic torques and forces by explicitly coarse-graining their microscopic dynamics, described by a many-body Fokker-Planck equation. The model includes both…

Soft Condensed Matter · Physics 2022-12-28 Elena Sesé-Sansa , Demian Levis , Ignacio Pagonabarraga

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

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

We present a hydrodynamic theory for systems of dipolar active Brownian particles which, in the regime of weak dipolar coupling, predicts the onset of motility-induced phase separation (MIPS), consistent with Brownian dynamics (BD)…

Soft Condensed Matter · Physics 2022-03-29 Elena Sesé-Sansa , Guo-Jun Liao , Demian Levis , Ignacio Pagonabarraga , Sabine H. L. Klapp

Collectives of actively-moving particles can spontaneously separate into dilute and dense phases -- a fascinating phenomenon known as motility-induced phase separation (MIPS). MIPS is well-studied for randomly-moving particles with no…

Biological Physics · Physics 2023-01-31 Hongbo Zhao , Andrej Košmrlj , Sujit S. Datta

We present a comprehensive study of a model system of repulsive self-propelled disks in two dimensions with ferromagnetic and nematic velocity alignment interactions. We characterize the phase behavior of the system as a function of the…

Soft Condensed Matter · Physics 2021-12-01 Elena Sesé-Sansa , Demian Levis , Ignacio Pagonabarraga

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

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

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

We propose a one-dimensional model of active particles interpolating between quorum sensing models used in the study of motility-induced phase separation (MIPS) and models of congestion of traffic flow on a single-lane highway. Particles…

Statistical Mechanics · Physics 2026-01-08 Eric Bertin , Alexandre Solon

Motility-induced phase separation (MIPS) is a paradigmatic non-equilibrium transition in active matter, determined by the P\'eclet number and packing fraction. We investigate the single-phase and phase-separated regimes of MIPS using a…

Biological Physics · Physics 2025-10-03 Italo Salas , Francisca Guzmán-Lastra , Denisse Pastén , Ariel Norambuena

Collectives of actively-moving particles can spontaneously segregate into dilute and dense phases through a process known as motility-induced phase separation (MIPS). This captivating phenomenon is well-studied for randomly-moving particles…

Soft Condensed Matter · Physics 2026-03-04 Hongbo Zhao , Qiwei Yu , Andrej Košmrlj , Sujit S. Datta

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
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