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We re-explore the kinetics of spinodal decomposition in off-critical polymer blends through numerical simulations of the Cahn-Hilliard equation with the Flory-Huggins-De Gennes free energy functional. Even in the absence of thermal noise,…

凝聚态物理 · 物理学 2009-10-28 Claudio Castellano , Sharon C. Glotzer

We propose an exactly solvable self-consistent kinetic model of polymerization-induced phase separation (PIPS) via spinodal decomposition. Using modified Cahn-Hilliard and Glotzer-Coniglio theories for early and late stages of spinodal…

凝聚态物理 · 物理学 2007-05-23 Valeriy V. Ginzburg , Noel A. Clark

A self consistent field theory for compressible polymer mixtures is developed by introducing elements of classical density functional theory into the framework of the Helfand theory. It is then applied to study free surfaces of binary (A,B)…

凝聚态物理 · 物理学 2009-10-28 F. Schmid

Behavior of two-time autocorrelation during the phase separation in solid binary mixtures are studied via numerical solutions of the Cahn-Hilliard equation as well as Monte Carlo simulations of the Ising model. Results are analyzed via…

统计力学 · 物理学 2015-09-02 Jiarul Midya , Suman Majumder , Subir K. Das

We propose a novel phase-field model to predict elastic microphase separation in polymer gels. To this end, we extend the Cahn-Hilliard free-energy functional to incorporate an elastic strain energy and a coupling term. These contributions…

材料科学 · 物理学 2025-05-05 Hamza Oudich , Pietro Carrara , Laura De Lorenzis

Polymer mixtures fractionate between phases depending on their molecular weight. Consequently, by varying solvent conditions, a polydisperse polymer sample can be separated between phases so as to achieve a particular molecular weight…

软凝聚态物质 · 物理学 2026-04-10 J. Pedro de Souza , William M. Jacobs , Howard A. Stone

We present a lattice model for polymer solutions, explicitly incorporating interactions with a bath of solvent and cosolvent molecules. By exploiting the well-known analogy between polymer systems and the $O(n)$-vector spin model in the…

软凝聚态物质 · 物理学 2025-04-21 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

We study polymer-polymer phase separation in a common good solvent by means of Monte Carlo simulations of the bond-fluctuation model. Below a critical, chain-length dependent concentration, no phase separation occurs. For higher…

软凝聚态物质 · 物理学 2009-11-11 Lei Guo , Erik Luijten

Much work has been devoted to analysing thermodynamic models for solid dispersions with a view to identifying regions in the phase diagram where amorphous phase separation or drug recrystallization can occur. However, detailed partial…

软凝聚态物质 · 物理学 2020-06-26 Martin Meere , Giuseppe Pontrelli , Sean McGinty

A continuum model for the phase separation and coarsening, observed in electrostatically driven granular media, is formulated in terms of a Ginzburg-Landau equation subject to conservation of the total number of grains. In the regime of…

软凝聚态物质 · 物理学 2016-08-31 I. S. Aranson , B. Meerson , P. V. Sasorov , V. M. Vinokur

The derivation of density functional energies from the random phase approximation of self-consistent mean field theory is generalized and applied to a binary blend of diblock copolymers and homopolymers. A nonlocal transformation is…

软凝聚态物质 · 物理学 2023-07-04 Sulin Wang , Yuan Chen , Zengqiang Tan , Keith Promislow

We derive the mean-field theory of disordered block-copolymers composed of two monomeric species, combining Edwards' functional method with the replica technique of disordered systems. In the absence of disorder we recover the canonical…

软凝聚态物质 · 物理学 2011-01-17 Gabriele Migliorini

We numerically investigate local defectiveness control of self-assembled diblock copolymer patterns through appropriate substrate design. We use a nonlocal Cahn-Hilliard (CH) equation for the phase separation dynamics of diblock copolymers.…

软凝聚态物质 · 物理学 2017-02-13 D. Jeong , Y. Choi , J. Kim

The Cahn--Hilliard equation is a widely used model that describes amongst others phase separation processes of binary mixtures or two-phase flows. In the recent years, different types of boundary conditions for the Cahn--Hilliard equation…

数值分析 · 数学 2021-03-04 Stefan Metzger

Previous research focused on two different mechanisms of microstructure stabilization in alloys: thermodynamic stabilization by reducing the grain boundary (GB) free energy and kinetic stabilization by suppressing the GB mobility by solute…

材料科学 · 物理学 2026-02-12 Omar Hussein , Yuri Mishin

A simple expression for the composition dependence of the Flory-Huggins interaction parameter of polymer/solvent systems reported earlier is used to model the demixing of polymer solutions into two liquid phases. To this end the system…

软凝聚态物质 · 物理学 2007-05-23 Sergej Stryuk , Bernhard A. Wolf

Quenched or frozen-in structural disorder is ubiquitous in real experimental systems. Much of the progress is achieved in understanding the phase separation of such systems using the diffusion-driven coarsening in Ising model with quenched…

软凝聚态物质 · 物理学 2023-08-15 Rounak Bhattacharyya , Bhaskar Sen Gupta

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…

软凝聚态物质 · 物理学 2009-09-29 Chris I. Addison , Pierre-Arnaud Artola , Jean-Pierre Hansen , Ard A. Louis

We study a Cahn-Hilliard model for phase separation in composite materials with multiple periodic microstructures. These are modeled by considering a highly oscillating potential. The focus of this paper is in the case where the scales of…

偏微分方程分析 · 数学 2026-02-16 Riccardo Cristoferi , Luca Pignatelli

Phase segregation, the process by which the components of a binary mixture spontaneously separate, is a key process in the evolution and design of many chemical, mechanical, and biological systems. In this work, we present a data-driven…

机器学习 · 计算机科学 2018-03-28 Amir Barati Farimani , Joseph Gomes , Rishi Sharma , Franklin L. Lee , Vijay S. Pande
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