Anisotropy in multi-phase systems: A phase field approach
type: Item
instance of: scholarly article
title: Anisotropy in multi-phase systems: A phase field approach
zbMATH Open document ID: 0959.35169
DOI: 10.4171/IFB/8
published in: Interfaces and Free Boundaries
publication date: 2000-11-20T00:00:00Z
review text: Summary: A phase field concept for interface motion in general multi-phase systems with anisotropic interfacial energy is studied. We allow the anisotropy to be even crystalline which leads to a polygonial Wulff shape. A sharp interface model which appears as the limit of small interfacial thickness is stated. Through a series of numerical simulations we demonstrate that our concept can recover features like crystalline curvature flow, an anisotropic version of Young's law at triple-junctions and an anisotropic modification of the right angle condition at points where the interface intersects an external boundary. An important advantage of our approach is that there is a simple relation between the coefficients in the phase field model and the defining parameters of the sharp interface model.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 74A50
Mathematics Subject Classification ID: 74N20
Mathematics Subject Classification ID: 76T30
zbMATH DE Number: 1421561
zbMATH Keywords: interface motion
zbMATH Keywords: multi-phase systems
zbMATH Keywords: anisotropic interfacial energy
zbMATH Keywords: crystalline curvature flow
zbMATH Keywords: right angle condition
zbMATH Keywords: phase field model
zbMATH Keywords: interface model
author: Harald Garcke
author: Barbara E. E. Stoth
author: Britta Nestler
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/ifb/8
OpenAlex ID: W2005173643
description: scientific article; zbMATH DE number 1421561