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The kinetics of chemical reactions are determined by the law of mass action, which has been successfully applied to homogeneous, dilute mixtures. At non-dilute conditions, interactions among the components can give rise to coexisting…

We theoretically study mixtures of chemically-interacting particles, which produce or consume a chemical to which they are attracted or repelled, in the most general case of many coexisting species. We find a new class of active phase…

Soft Condensed Matter · Physics 2019-07-15 Jaime Agudo-Canalejo , Ramin Golestanian

Phase separation routinely occurs in both living and synthetic systems. These phases are often complex and distinguished by features including crystallinity, nematic order, and a host of other nonconserved order parameters. For systems at…

Statistical Mechanics · Physics 2025-12-08 Daniel Evans , Ahmad K. Omar

Chemical activity is known to affect phase coexistence and coarsening in liquid mixtures, most commonly through reaction-induced changes of intermolecular interactions. Here, we analyze a scenario in which chemical reactions regulate…

Soft Condensed Matter · Physics 2026-03-19 Florian Raßhofer , Erwin Frey

Phase separation is the thermodynamic process that explains how droplets form in multicomponent fluids. These droplets can provide controlled compartments to localize chemical reactions, and reactions can also affect the droplets' dynamics.…

Soft Condensed Matter · Physics 2022-09-02 David Zwicker

Turing's mechanism is often invoked to explain periodic patterns in nature, although direct experimental support is scarce. Turing patterns form in reaction-diffusion systems when the activating species diffuse much slower than the…

Biological Physics · Physics 2024-03-15 Lucas Menou , Chengjie Luo , David Zwicker

Under suitable assumptions, the dynamic behaviour of a chemical reaction network is governed by an autonomous set of polynomial ordinary differential equations over continuous variables representing the concentrations of the reactant…

Dynamical Systems · Mathematics 2014-07-15 Matthew D. Johnston , David Siegel

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

The formation of dynamical patterns is one of the most striking features of nonequilibrium physical systems. Recent work has shown that such patterns arise generically from forces that violate Newton's third law, known as nonreciprocal…

Statistical Mechanics · Physics 2025-08-26 James Mason , Robert L. Jack , Maria Bruna

Active matter is not only indispensable to our understanding of diverse biological processes, but also provides a fertile ground for discovering novel physics. Many emergent properties impossible for equilibrium systems have been…

Soft Condensed Matter · Physics 2022-05-27 Thibault Bertrand , Chiu Fan Lee

Phase separation, crucial for spatially segregating biomolecules in cells, is well-understood in the simple case of a few components with pairwise interactions. Yet, biological cells challenge the simple picture in at least two ways: First,…

Soft Condensed Matter · Physics 2024-03-12 Chengjie Luo , Yicheng Qiang , David Zwicker

Systems of dynamical interactions between competing species can be used to model many complex systems, and can be mathematically described by {\em random} networks. Understanding how patterns of activity arise in such systems is important…

Adaptation and Self-Organizing Systems · Physics 2016-01-21 Nick McCullen , Thomas Wagenknecht

We present a systematic theory of chemically active emulsions in the hydrodynamic limit by constructing a thermodynamically consistent framework in which the equilibrium is broken by chemo-stating of fuel molecules. For ternary solutions…

Soft Condensed Matter · Physics 2026-04-21 Efe Ilker , Kathrin Laxhuber , Jean-Francois Joanny , Frank Jülicher

Multicomponent phase separation is a routine occurrence in both living and synthetic systems. Thermodynamics provides a straightforward path to determine the phase boundaries that characterize these transitions for systems at equilibrium.…

Statistical Mechanics · Physics 2025-12-08 Yu-Jen Chiu , Daniel Evans , Ahmad K. Omar

Systems containing active components are intrinsically out of equilibrium, while binary mixtures reach their equilibrium configuration when complete phase separation is achieved. Active particles are found to stabilise non-equilibrium…

Soft Condensed Matter · Physics 2025-03-11 Javier Diaz , Ignacio Pagonabarraga

Collective organisation of patterns into ring-like configurations has been well-studied when patterns are subject to either weak or semi-strong interactions. However, little is known numerically or analytically about their formation when…

Dynamical Systems · Mathematics 2024-03-06 Dan J. Hill , Jason J. Bramburger , David J. B. Lloyd

In this work we have characterized the phase behaviour and the dynamics of bidimensional mixtures of active and passive Brownian particles. We have evaluated state diagrams at several concentrations of the passive components finding that,…

Soft Condensed Matter · Physics 2025-11-12 Diego Rogel Rodriguez , Francisco Alarcon , Raul Martinez , Jorge Ramirez , Chantal Valeriani

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 investigate the emergence of sustained spatio-temporal behaviors in reaction-phase separation systems. We focus on binary systems, in which either one or both species can phase separate, and we discuss the stability of the homogeneous…

Pattern Formation and Solitons · Physics 2024-08-08 Dino Osmanovic , Elisa Franco

Liquid mixtures of many interacting components often exhibit numerous coexisting types of droplets. An exciting example is the cytosol of biological cells, where diverse droplets, called condensates, are essential for cellular function.…

Soft Condensed Matter · Physics 2025-05-28 Yicheng Qiang , Chengjie Luo , David Zwicker
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