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In this paper general dynamic equations describing the time evolution of isothermal quasi-incompressible multicomponent liquids are derived in the framework of the classical Ginzburg-Landau theory of first order phase transformations. Based…

软凝聚态物质 · 物理学 2016-09-28 Gyula I. Toth

Phase separation plays an role in determining the self-assembly of biological and soft-matter systems. In biological systems, liquid-liquid phase separation inside a cell leads to the formation of various macromolecular aggregates. The…

软凝聚态物质 · 物理学 2024-03-26 Tanmay Biswas , Gerhard Kahl , Gaurav P. Shrivastav

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…

生物物理 · 物理学 2016-02-03 Ramon Reigada , Alexander S. Mikhailov

In this paper we consider a multiscale phase-field model for capillarity-driven flows in porous media. The presented model constitutes a reduction of the conventional Navier-Stokes-Cahn-Hilliard phase-field model, valid in situations where…

流体动力学 · 物理学 2016-02-05 Mahnaz Shokrpour Roudbari , E. Harald van Brummelen , Clemens V. Verhoosel

A deep learning model is employed to address the challenging problem of V2O5 nanoparticle segmentation and the correlation between the chemical composition and the geometrical features of lithiated V2O5 nanoparticles as an exemplar of a…

Multicomponent lipid mixtures exhibit complex phase behavior, including coexistence of nanoscopic fluid phases in ternary mixtures mimicking the composition of the outer leaflet of mammalian plasma membrane. The physical mechanisms…

软凝聚态物质 · 物理学 2011-06-01 Frederick A. Heberle , Gerald W. Feigenson

The Cahn-Hilliard equation is a fundamental model that describes phase separation processes of two-phase flows or binary mixtures. In recent years, the dynamic boundary conditions for the Cahn-Hilliard equation have been proposed and…

动力系统 · 数学 2024-12-12 Shuting Gu , Ming Xiao , Rui Chen

We present a model for the morphology evolution of printed organic solar cells which occurs during the drying of a mixture of polymer, the non-fullerene acceptor and the solvent. Our model uses a phase field approach coupled to a…

In this contribution we investigate the application of phase-field fracture models on non-linear multiscale computational homogenization schemes. In particular, we introduce different phase-fields on a two-scale problem and develop a…

计算工程、金融与科学 · 计算机科学 2023-12-21 Felix Schmidt , Stefan Schuß , Christian Hesch

In this thesis, we propose to tackle this important issue by designing and realizing a novel nano-optical device based on the use of a photonic crystal (PC) structure to generate an efficient coupling between the external source and a NA.…

光学 · 物理学 2023-05-25 Taiping Zhang

The space fractional Cahn-Hilliard phase-field model is more adequate and accurate in the description of the formation and phase change mechanism than the classical Cahn-Hilliard model. In this article, we propose a temporal second-order…

数值分析 · 数学 2021-05-13 Yong-Liang Zhao , Meng Li , Alexander Ostermann , Xian-Ming Gu

In this paper, we introduce a model describing the dynamic of vesicle membranes within an incompressible viscous fluid in $3D$ domains. The system consists of the Navier-Stokes equations, with an extra stress tensor depending on the…

偏微分方程分析 · 数学 2017-10-10 Blanca Climent-Ezquerra , Francisco Guillén-González

There are various methods for modeling phase transformations in materials science, including general classes of phase-field methods and reactive diffusion methodologies, which most importantly differ in their treatment of interface energy.…

This work deals with numerical simulation of water freezing and thawing in a complex three-dimensional geometry of a porous medium. The porous structure is represented by a virtual container filled with glass beads. Phase transition…

计算物理 · 物理学 2024-07-23 Pavel Strachota

Polycrystalline thin films can be unstable with respect to island formation (agglomeration) through grooving where grain boundaries intersect the free surface and/or thin film-substrate interface. We develop a phase-field model to study the…

材料科学 · 物理学 2007-05-23 Mathieu Bouville , Shenyang Hu , Long-Qing Chen , Dongzhi Chi , David J Srolovitz

We study the static and dynamical properties of DNA in the vicinity of its melting transition, i.e. the separation of the two strands upon heating. The investigation is based on a simple mechanical model which includes the helicoidal…

统计力学 · 物理学 2007-06-19 Maria Barbi , Stefano Lepri , Michel Peyrard , Nikos Theodorakopoulos

We study a Navier-Stokes/Cahn-Hilliard system modeling the evolution of a compressible binary mixture of viscous fluids undergoing phase separation. The novelty of this work is a free energy potential including the physically relevant…

偏微分方程分析 · 数学 2025-06-10 Danica Basarić , Andrea Giorgini

Phase separation in binary mixtures in the presence of Janus particles has been studied in terms of a Cahn-Hilliard model coupled to the Langevin equations describing the particle dynamics. We demonstrate that the phase separation process…

软凝聚态物质 · 物理学 2015-06-17 Alexei Krekhov , Vanessa Weith , Walter Zimmermann

Phase field models are gradient flows with their energy naturally dissipating in time. In order to preserve this property, many numerical schemes have been well-studied. In this paper we consider a well-known method, namely the exponential…

数值分析 · 数学 2023-12-27 Xinyu Cheng

We study a diffuse-interface model for a binary incompressible mixture in a periodically perforated porous medium, described by a time-dependent Navier-Stokes-Cahn-Hilliard (NSCH) system posed on the pore domain…

偏微分方程分析 · 数学 2026-03-17 Amartya Chakrabortty , Haradhan Dutta , Hari Shankar Mahato