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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

Active matter comprised of many self-driven units can exhibit emergent collective behaviors such as pattern formation and phase separation in both biologica and synthetic systems. While these behaviors are increasingly well understood for…

Soft Condensed Matter · Physics 2015-07-27 Syeda Sabrina , Matthew Spellings , Sharon C. Glotzer , Kyle J. M. Bishop

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

Phase separating systems that are maintained away from thermodynamic equilibrium via molecular processes represent a class of active systems, which we call active emulsions. These systems are driven by external energy input for example…

Soft Condensed Matter · Physics 2019-06-07 Christoph A. Weber , David Zwicker , Frank Jülicher , Chiu Fan Lee

The study of liquid-liquid phase transition has attracted considerable attention. One interesting example of such phenomenon is phosphorus for which the existence a first-order phase transition between a low density insulating molecular…

Soft Condensed Matter · Physics 2021-08-25 Manyi Yang , Tarak Karmakar , Michele Parrinello

Spontaneous emergence of organized states in materials driven by non-equilibrium conditions is of significant fundamental and technological interest. In many cases, the organized states are complex, hence, with some well-studied exceptions,…

Soft Condensed Matter · Physics 2021-09-17 Geet Raju , Nikos Kyriakopoulos , Jaakko V. I. Timonen

Cell deformability is an essential determinant for tissue-scale mechanical nature, such as fluidity and rigidity, and is thus crucial for understanding tissue homeostasis and stable developmental processes. However, numerical simulations…

Tissues and Organs · Quantitative Biology 2023-03-08 Nen Saito , Shuji Ishihara

One method for computationally determining phase boundaries is to explicitly simulate a direct coexistence between the two phases of interest. Although this approach works very well for fluid-fluid coexistences, it is often considered to be…

Soft Condensed Matter · Physics 2025-04-24 Frank Smallenburg , Giovanni Del Monte , Marjolein de Jager , Laura Filion

We study the structure and dynamics of the interface separating a passive fluid from a microtubule-based active fluid. Turbulent-like active flows power giant interfacial fluctuations, which exhibit pronounced asymmetry between regions of…

These lecture notes describe a basic theory of chemically active droplets, which are droplets kept away from equilibrium by driven chemical reactions. The notes assume a basic familiarity with equilibrium thermodynamics of phase separation,…

Soft Condensed Matter · Physics 2024-07-16 David Zwicker

Fluids in which the interparticle potential has a hard core, is attractive at moderate separations, and repulsive at greater separations are known to exhibit novel phase behavior, including stable inhomogeneous phases. Here we report a…

Soft Condensed Matter · Physics 2008-09-17 Andrew J. Archer , Nigel B. Wilding

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

Active particles under soft confinement such as droplets or vesicles present intriguing phenomena, as collective motion emerges alongside the deformation of the environment. A model is employed to systematically investigate droplet…

Soft Condensed Matter · Physics 2024-07-25 Javier Diaz , Ignacio Pagonabarraga

A simple fluid, described by point-like particles interacting via the Lennard-Jones potential, is considered under confinement in a slit geometry between two walls at distance Lz apart for densities inside the vapor-liquid coexistence…

Soft Condensed Matter · Physics 2009-11-13 Katarzyna Bucior , Leonid Yelash , Kurt Binder

To study the impact of active systems on their surroundings, we introduce a model that couples an active nematic fluid to an isotropic substrate fluid via friction. We numerically show that as the active layer develops turbulence, the…

Soft Condensed Matter · Physics 2025-12-01 Gianmarco Spera , Julia M. Yeomans , Sumesh P. Thampi

Biological systems achieve precise control over ambient fluids through the self-organization of active protein structures including flagella, cilia, and cytoskeletal networks. In active structures individual proteins consume chemical energy…

We study experimentally and numerically the motion of a self-phoretic active particle in two-dimensional (2D) loosely-packed colloidal crystals at fluid interfaces. Two scenarios emerge depending on the interaction between the active…

Soft Condensed Matter · Physics 2018-07-04 Kilian Dietrich , Ivo Buttinoni , Giovanni Volpe , Lucio Isa

Biological tissues exhibit complex behaviors with their dynamics often resembling inert soft matter such as liquids, polymers, colloids, and liquid crystals. These analogies enable physics-based approaches for investigations of emergent…

We review understanding of kinetics of fluid phase separation in various space dimensions. Morphological differences, percolating or disconnected, based on overall composition in a binary liquid or density in a vapor-liquid system, have…

Statistical Mechanics · Physics 2020-06-05 Subir K. Das , Sutapa Roy , Jiarul Midya

Living and engineered systems rely on the stable coexistence of two interspersed liquid phases. Yet surface tension drives their complete separation. Here we show that stable droplets of uniform and tuneable size can be produced through…