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Periodic microphases universally emerge in systems for which short-range inter-particle attraction is frustrated by long-range repulsion. The morphological richness of these phases makes them desirable material targets, but our relatively…

Soft Condensed Matter · Physics 2016-03-03 Yuan Zhuang , Kai Zhang , Patrick Charbonneau

This mini-review synthesizes our understanding of the equilibrium behavior of particle models with short-range attractive and long-range repulsive (SALR) interactions. These models, which can form stable periodic microphases, aim to…

Soft Condensed Matter · Physics 2022-05-03 Yuan Zhuang , Patrick Charbonneau

Despite many attempts, ordered equilibrium microphases have yet to be obtained in experimental colloidal suspensions. The recent computation of the equilibrium phase diagram of a microscopic, particle-based microphase former [Zhuang et al.,…

Soft Condensed Matter · Physics 2017-09-07 Yuan Zhuang , Patrick Charbonneau

We introduce a method for solving the "inverse" phase equilibria problem: How should the interactions among a collection of molecular species be designed in order to achieve a target phase diagram? Using techniques from convex optimization…

Soft Condensed Matter · Physics 2023-06-06 Fan Chen , William M. Jacobs

The phase diagram of the penetrable square-well fluid is investigated through Monte Carlo simulations of various nature. This model was proposed as the simplest possibility of combining bounded repulsions at short scale and short-range…

Soft Condensed Matter · Physics 2012-01-12 Riccardo Fantoni , Alexandr Malijevsky , Andres Santos , Achille Giacometti

We study a system formed by soft colloidal spheres attracting each other via a square-well potential, using extensive Monte Carlo simulations of various nature. The softness is implemented through a reduction of the infinite part of the…

Soft Condensed Matter · Physics 2011-02-03 Riccardo Fantoni , Alexandr Malijevsky , Andres Santos , Achille Giacometti

Many materials containing colloids or polymers are polydisperse: They comprise particles with properties (such as particle diameter, charge, or polymer chain length) that depend continuously on one or several parameters. This review…

Soft Condensed Matter · Physics 2007-05-23 Peter Sollich

Mixtures of several macromolecular species can lead to the formation of higher-order structures that often display non-ideal mixing behavior. In this work, we propose a minimal model of a quaternary system which considers the formation of a…

Soft Condensed Matter · Physics 2022-12-14 Ruoyao Zhang , Sheng Mao , Mikko Haataja

Microphase separation is common in active biological systems as exemplified by the separation of RNA and DNA-rich phases in the cell nucleus driven by the transcriptional activity of polymerase enzymes acting similarly to amphiphiles in a…

Soft Condensed Matter · Physics 2025-07-22 Rakesh Chatterjee , Hui-Shun Kuan , Frank Julicher , Vasily Zaburdaev

We study the liquid-vapor phase diagram and the structural properties of discrete potential fluids by means of Gibbs ensemble simulations and integral equations theory. We consider three discrete fluids, namely, the square well (SW), the…

Inspired by recent experiments, we present a phase-field model of microphase separation in an elastomer swollen with a solvent. The imbalance between the molecular scale of demixing and the mesoscopic scale beyond which elasticity operates…

Soft Condensed Matter · Physics 2025-09-05 Manu Mannattil , Haim Diamant , David Andelman

Motivated by recent experimental and theoretical work on the control of phase separation by (electro-)autocatalytic reactions, we analyze pattern formation in externally driven phase separating systems described by a generalization of the…

Chemical Physics · Physics 2023-10-03 Hongbo Zhao , Martin Z. Bazant

By means of classical density functional theory and its dynamical extension, we consider a colloidal fluid with spherically-symmetric competing interactions, which are well known to exhibit a rich bulk phase behavior. This includes complex…

Soft Condensed Matter · Physics 2018-06-11 Daniel Stopper , Roland Roth

Fluid phase behavior of charge-stabilized colloidal suspensions is explored by applying a new variant of the Gibbs ensemble Monte Carlo simulation method to a coarse-grained one-component model with implicit microions and solvent. The…

Soft Condensed Matter · Physics 2011-06-28 Ben Lu , Alan R. Denton

The evolution of the contact zone between pure surfactant and solvent has been studied by mesoscale simulation. It is found that mesophase formation becomes diffusion controlled and follows the equilibrium phase diagram adiabatically almost…

Soft Condensed Matter · Physics 2009-11-07 P. Prinsen , P. B. Warren , M. A. J. Michels

From the Ising model and the Lennard-Jones fluid, to water and the iron-carbon system, phase diagrams are an indispensable tool to understand phase equilibria. In spite of the effort of the simulation community the calculation of a large…

Statistical Mechanics · Physics 2020-04-10 Pablo M. Piaggi , Michele Parrinello

Colloidal fluids can exhibit complex phase behavior and determining phase diagrams via experiments or computer simulations can be laborious. We demonstrate that the dispersion relation $\omega(k)$, obtained from dynamical density functional…

Soft Condensed Matter · Physics 2026-03-20 Michael Wassermair , Gerhard Kahl , Roland Roth , Andrew J. Archer

A novel two-leaflet description of lipid membranes is proposed. Within its framework, phase separation phenomena in multicomponent biological membranes are analyzed. As we show, interactions between the leaflets tend to suppress macroscopic…

Biological Physics · Physics 2016-02-03 Ramon Reigada , Alexander S. Mikhailov

The phase behavior is investigated for systems composed of a large number of macromolecular components N, with N greater or equal to 2. Liquid-liquid phase separation is modelled using a virial expansion up to the second order of the…

Soft Condensed Matter · Physics 2024-05-29 Arjen Bot , Erik van der Linden , Paul Venema

Large-scale Monte Carlo simulations of a phase-separating colloid-polymer mixture are performed and compared to recent experiments. The approach is based on effective interaction potentials in which the central monomers of self-avoiding…

Soft Condensed Matter · Physics 2007-05-23 R. L. C. Vink , A. Jusufi , J. Dzubiella , C. N. Likos
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