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Related papers: Self-Consistent Model of Polymerization-Induced Ph…

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The Cahn-Hilliard system has been used to describe a wide number of phase separation processes, from co-polymer systems to lipid membranes. In this work the convergence properties of a closest-point based scheme is investigated. In place of…

Numerical Analysis · Mathematics 2017-02-28 Prerna Gera , David Salac

Porous gels -- gels with solvent-filled pores that are much larger than their mesh size -- are widely used in engineering and biomedical applications due to their tunable mechanics, high water content, and selective permeability. Among…

Soft Condensed Matter · Physics 2025-08-22 Yanxia Feng , Noel Ringeisen , Eric R. Dufresne , Lucio Isa , Robert W. Style

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

Using Kinetic Monte Carlo simulation, we model gas-liquid spinodal decomposition in a size-polydisperse square well fluid, representing a 'near-monodisperse' colloidal dispersion. We find that fractionation (demixing) of particle sizes…

Soft Condensed Matter · Physics 2012-08-17 John J. Williamson , R. Mike L. Evans

New insights into phase separation in colloidal suspensions are provided via a new dynamical theory based on the Polydisperse Lattice-Gas model. The model gives a simplified description of polydisperse colloids, incorporating a hard-core…

Soft Condensed Matter · Physics 2017-08-03 Pablo de Castro , Peter Sollich

Using a multi-phase field model, we examine how particle deformability, which is a proxy for cell stiffness, affects motility induced phase separation (MIPS). We show that purely repulsive deformable, i.e., squishy, cells phase separate…

Soft Condensed Matter · Physics 2025-02-12 Austin Hopkins , Benjamin Loewe , Michael Chiang , Davide Marenduzzo , M. Cristina Marchetti

Using the Gaussian Ansatz for the monomer-monomer correlation functions we derive a set of the self-consistent equations for determination of the conformational state in the bead-and-spring copolymer model. The latter is based on the…

Soft Condensed Matter · Physics 2007-05-23 Yu. A. Kuznetsov , E. G. Timoshenko

We propose a kinetic Ising model to study phase separation driven by surface diffusion. This model is referred to as "Model S", and consists of the usual Kawasaki spin-exchange kinetics ("Model B") in conjunction with a kinetic constraint.…

Statistical Mechanics · Physics 2015-06-24 S. van Gemmert , G. T. Barkema , Sanjay Puri

The filtration membranes are often elaborated through a phase separation process where a polymer rich phase and a polymer poor phase spontaneously form through spinodal decomposition. One process that is still not well understood from a…

The influence of immobile filler particles (spheres, fibers, platelets) on polymer blend phase separation is investigated computationally using a generalization of the Cahn-Hilliard-Cook (CHC) model. Simulation shows that the selective…

Statistical Mechanics · Physics 2007-05-23 Benjamin P. Lee , Jack F. Douglas , Sharon C. Glotzer

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

We study the growth of a periodic pattern in one dimension for a model of spinodal decomposition, the Cahn-Hilliard equation. We particularly focus on the intermediate region, where the non-linearity cannot be negected anymore, and before…

Statistical Mechanics · Physics 2007-05-23 Simon Villain-Guillot , Christophe Josserand

The simplest statistical-mechanical model of crystalline formation (or alloy formation) that includes electronic degrees of freedom is solved exactly in the limit of large spatial dimensions and infinite interaction strength. The solutions…

Strongly Correlated Electrons · Physics 2009-10-31 J. K. Freericks , Ch. Gruber , N. Macris

We present results from a comprehensive numerical study of {\it morphological phase separation} (MPS) in unstable thin liquid films on a 2-dimensional substrate. We study the quantitative properties of the evolution morphology via several…

Soft Condensed Matter · Physics 2017-09-13 Prabhat K. Jaiswal , Manish Vashishtha , Sanjay Puri , Rajesh Khanna

The phase separation of a simple binary mixture of incompatible linear polymers in solution is investigated using an extension of the sedimentation equilibrium method, whereby the osmotic pressure of the mixture is extracted from the…

Soft Condensed Matter · Physics 2009-09-29 Chris I. Addison , Pierre-Arnaud Artola , Jean-Pierre Hansen , Ard A. Louis

Motility-induced phase separation (MIPS) is of great importance and has been extensively researched in overdamped systems, nevertheless, what impacts inertia will bring on kinetics of MIPS is lack of investigation. Here, we find that, not…

Soft Condensed Matter · Physics 2020-09-09 Jie Su , Huijun Jiang , Zhonghuai Hou

We study the possibility of the spinodal decomposition in the induction period of the polymer crystallization. This phenomenon was first reported in an X-ray scattering experiment, and has still been controversial due to various experiments…

Soft Condensed Matter · Physics 2017-05-02 Hiroshi Yokota , Toshihiro Kawakatsu

We consider systematic numerical approximation of a viscoelastic phase separation model that describes the demixing of a polymer solvent mixture. An unconditionally stable discretisation method is proposed based on a finite element…

Numerical Analysis · Mathematics 2024-07-08 Aaron Brunk , Herbert Egger , Oliver Habrich , Maria Lukacova-Medvidova

The evolution of the microstructure due to spinodal decomposition in phase separated mixtures has a strong impact on the final material properties. In the late stage of coarsening, the system is characterized by the growth of a single…

Soft Condensed Matter · Physics 2021-12-09 Björn König , Olivier J. J. Ronsin , Jens Harting

A fluid composed of two molecular species may undergo phase segregation via spinodal decomposition. However, if the two molecular species can interconvert, e.g. change their chirality, then a phenomenon of phase amplification, which has not…

Statistical Mechanics · Physics 2021-06-23 Nikolay A. Shumovskyi , Thomas J. Longo , Sergey V. Buldyrev , Mikhail A. Anisimov