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We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume…

Mathematical Physics · Physics 2023-10-31 James Mason , Clement Erignoux , Robert Jack , Maria Bruna

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

The assembly of functional biomolecular condensates often involves liquid-liquid phase separation (LLPS) of proteins with multiple modular domains, which can be folded or conformationally disordered to various degrees. To understand the…

Biomolecules · Quantitative Biology 2022-01-11 Yi-Hsuan Lin , Haowei Wu , Bowen Jia , Mingjie Zhang , Hue Sun Chan

Liposomes that achieve a heterogeneous and spatially organized surface through phase separation have been recognized to be a promising platform for delivery purposes. However, their design and optimization through experimentation can be…

Soft Condensed Matter · Physics 2021-11-05 Y. Wang , Y. Palzhanov , A. Quaini , M. Olshanskii , S. Majd

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

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, 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

We explore phase separation and kinetic arrest in a model active colloidal system consisting of self-propelled, hard-core particles with nonconvex shapes. The passive limit of the model, namely cross-shaped particles on a square lattice,…

Soft Condensed Matter · Physics 2020-05-11 Carl Merrigan , Kabir Ramola , Rakesh Chatterjee , Nimrod Segall , Yair Shokef , Bulbul Chakraborty

One of the most intriguing phenomena in active matter has been the gas-liquid like motility induced phase separation (MIPS) observed in repulsive active particles. However, experimentally no particle can be a perfect sphere, and the…

Soft Condensed Matter · Physics 2022-01-20 Zhan Ma , Ran Ni

The field of active matter, and particularly active emulsions, is growing rapidly, with significant progress made recently on both theoretical and experimental fronts. Here, we summarize experimental research progress related to active…

Soft Condensed Matter · Physics 2022-10-21 Samuel Birrer , Seong Ik Cheon , Lauren D. Zarzar

We study quasi two-dimensional, monodisperse systems of active Brownian particles (ABPs) for a range of activities, stiffnesses, and densities. We develop a microscopic, analytical method for predicting the dense phase structure formed…

Soft Condensed Matter · Physics 2021-06-24 Nicholas Lauersdorf , Thomas Kolb , Moslem Moradi , Ehssan Nazockdast , Daphne Klotsa

We review recent experimental, numerical, and analytical results on active suspensions of self-propelled colloidal beads moving in (quasi) two dimensions. Active colloids form part of the larger theme of active matter, which is noted for…

Soft Condensed Matter · Physics 2014-09-03 Julian Bialké , Thomas Speck , Hartmut Löwen

In living cells, proteins involved in specialized biochemical functions are often spatially organized within biomolecular condensates. Increasing evidence suggests that some of these condensates, including DNA repair condensates, emerge…

Soft Condensed Matter · Physics 2026-05-15 Léa Beaulès , Judith Miné-Hattab , Pierre Illien , Vincent Dahirel

The field of active matter explores the behaviors of self propelled agents out of equilibrium, with active suspensions, such as swimming bacteria in solutions, serving as impactful models. These systems exhibit spatio-temporal patterns akin…

Soft Condensed Matter · Physics 2025-08-26 Pratikshya Jena , Shradha Mishra

Active Brownian particles (ABPs) represent a minimal model of active matter consisting of self-propelled spheres with purely repulsive interactions and rotational noise. Here, we examine the pressure of ABPs in two dimensions in both closed…

Soft Condensed Matter · Physics 2017-01-11 Adam Patch , David Yllanes , M. Cristina Marchetti

Adding a non-adsorbing polymer to passive colloids induces an attraction between the particles via the `depletion' mechanism. High enough polymer concentrations lead to phase separation. We combine experiments, theory and simulations to…

Soft Condensed Matter · Physics 2016-07-13 J. Schwarz-Linek , C. Valeriani , A. Cacciuto , M. E. Cates , D. Marenduzzo , A. N. Morozov , W. C. K. Poon

Because of consuming energy to drive their motion, systems of active colloids are intrinsically out of equilibrium. In the past decade, a variety of intriguing dynamic patterns have been observed in systems of active colloids, and they…

Soft Condensed Matter · Physics 2020-04-16 Zhan Ma , Mingcheng Yang , Ran Ni

We use a continuum, two-fluid approach to study a mixture of two active nematic fluids. Even in the absence of thermodynamically-driven ordering, for mixtures of different activities we observe turbulent microphase separation, where domains…

Soft Condensed Matter · Physics 2025-02-03 Saraswat Bhattacharyya , Julia M. Yeomans

Cell plasma membranes display a dramatically rich structural complexity characterized by functional sub-wavelength domains with specific lipid and protein composition. Under favorable experimental conditions, patterned morphologies can also…

Soft Condensed Matter · Physics 2018-10-02 Nicolas Destainville , Manoel Manghi , Julie Cornet

Phase separation can drive spatial organization of multicomponent mixtures. For instance in developing animal embryos, effective phase separation descriptions have been used to account for the spatial organization of different tissue types.…

Soft Condensed Matter · Physics 2023-01-18 Simon Gsell , Matthias Merkel
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