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The Flory-Huggins theory is a well-established lattice model that is commonly used to study the mixing of distinct chemical species. It can successfully predict phase separation phenomena in blends of incompatible materials. However, it is…

Materials Science · Physics 2025-12-19 Maxime Siber , Olivier J. J. Ronsin , Jens Harting

The Flory-Huggins theory describes the phase separation of solutions containing polymers. Although it finds widespread application from polymer physics to materials science to biology, the concentrations that coexist in separate phases at…

Soft Condensed Matter · Physics 2024-04-30 J. Pedro de Souza , Howard A. Stone

Normal mode dynamics are ubiquitous underlying the motions of diverse systems from rotating stars to crystal structures. These behaviors are composed of simple collective motions of particles which move with the same frequency and phase,…

Quantum Gases · Physics 2020-07-15 D. K. Watson

In many interfacial flow systems, variations of surface properties lead to novel and interesting behaviors. In this work a three-dimensional model of flow dynamics for multicomponent vesicles is presented. The surface composition is modeled…

Soft Condensed Matter · Physics 2017-12-07 Prerna Gera , David Salac

Phase separation of multicomponent liquid mixtures plays an integral part in many processes ranging from industry to cellular biology. In many cases the morphology of coexisting phases is crucially linked to the function of the separated…

Soft Condensed Matter · Physics 2020-11-25 Sheng Mao , Milena S. Chakraverti-Wuerthwein , Hunter Gaudio , Andrej Kosmrlj

Fluid mixtures, such as the cellular cytoplasm and synthetic DNA nanostars, can spontaneously compartmentalize into many coexisting phases through liquid-liquid phase separation. Despite the diversity of fluid structures that emerge from…

Fluid Dynamics · Physics 2026-03-05 Michael Rennick , Xitong Zhang , Halim Kusumaatmaja

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

Thermoresponsive polymers hold both fundamental and technological importance, but the essential physics driving their intriguing behavior is not wholly understood. We introduce a lattice framework that incorporates elements of Flory-Huggins…

Soft Condensed Matter · Physics 2024-03-04 Satyen Dhamankar , Michael A. Webb

We study the properties of a trapped interacting three component Fermi gas. We assume that one of the components can have a different mass from the other two. We calculate the different phases of the three component mixture and find a rich…

Superconductivity · Physics 2007-05-23 T. Paananen , P. Torma , J. -P. Martikainen

In this paper a generalization of the Cahn-Hilliard theory of binary liquids is presented for multi-component incompressible liquid mixtures. First, a thermodynamically consistent convection-diffusion type dynamics is derived on the basis…

Materials Science · Physics 2016-02-03 Gyula I. Toth , Mojdeh Zarifi , Bjorn Kvamme

In this work, Flory-Huggins phase diagrams for correlated random copolymers with realistic chain lengths are calculated. This is achieved in two steps. At first we derive a distribution function of copolymer chains with respect to…

Soft Condensed Matter · Physics 2021-03-17 Elena Patyukova , Erte Xi , Mark R. Wilson

Understanding the (de)mixing behavior of multicomponent lipid bilayers is an important step towards unraveling the nature of spatial composition heterogeneities in cellular membranes and their role in biological function. We use…

Soft Condensed Matter · Physics 2018-05-17 Shushan He , Lutz Maibaum

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

A multicomponent extension of our recent theory of simple fluids [ U.M.B. Marconi and S. Melchionna, Journal of Chemical Physics, 131, 014105 (2009) ] is proposed to describe miscible and immiscible liquid mixtures under inhomogeneous, non…

Statistical Mechanics · Physics 2011-02-11 Umberto Marini Bettolo Marconi , Simone Melchionna

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

We analyze the critical gas-liquid phase behavior of arbitrary fluid mixtures in their coexistence region. We focus on the setting relevant for polydisperse colloids, where the overall density and composition of the system are being…

Soft Condensed Matter · Physics 2019-11-22 Pablo de Castro , Peter Sollich

We present a set of effective outflow/open boundary conditions and an associated algorithm for simulating the dynamics of multiphase flows consisting of $N$ ($N\geqslant 2$) immiscible incompressible fluids in domains involving outflows or…

Fluid Dynamics · Physics 2018-05-09 Zhiguo Yang , Suchuan Dong

The homogeneous partly pinned fluid systems are simple models of a fluid confined in a disordered porous matrix obtained by arresting randomly chosen particles in a one-component bulk fluid or one of the two components of a binary mixture.…

Soft Condensed Matter · Physics 2010-12-07 Vincent Krakoviack

We propose a new class of phase field models coupled to viscoelasticity with large deformations, obtained from a diffuse interface mixture model composed by a phase with elastic properties and a liquid phase. The model is formulated in the…

Analysis of PDEs · Mathematics 2022-04-12 Abramo Agosti , Pierluigi Colli , Harald Garcke , Elisabetta Rocca

Fluid mixture models are essential for describing a wide range of physical phenomena, including wave dynamics and spinodal decomposition. However, there is a lack of consensus in the modeling of compressible mixtures, with limited…

Fluid Dynamics · Physics 2025-04-01 M. F. P. ten Eikelder , E. H. van Brummelen , D. Schillinger
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