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.
1
Universität Regensburg, Germany
2
Universität Bonn, Germany
3
RWTH Aachen, Germany
Harald Garcke; Barbara Stoth; B. Nestler. Anisotropy in multi-phase systems: a phase field approach. Interfaces and free boundaries, Tome 1 (1999) no. 2, pp. 175-198. doi: 10.4171/ifb/8
@article{10_4171_ifb_8,
author = {Harald Garcke and Barbara Stoth and B. Nestler},
title = {Anisotropy in multi-phase systems: a phase field approach},
journal = {Interfaces and free boundaries},
pages = {175--198},
year = {1999},
volume = {1},
number = {2},
doi = {10.4171/ifb/8},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/8/}
}
TY - JOUR
AU - Harald Garcke
AU - Barbara Stoth
AU - B. Nestler
TI - Anisotropy in multi-phase systems: a phase field approach
JO - Interfaces and free boundaries
PY - 1999
SP - 175
EP - 198
VL - 1
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/8/
DO - 10.4171/ifb/8
ID - 10_4171_ifb_8
ER -
%0 Journal Article
%A Harald Garcke
%A Barbara Stoth
%A B. Nestler
%T Anisotropy in multi-phase systems: a phase field approach
%J Interfaces and free boundaries
%D 1999
%P 175-198
%V 1
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/8/
%R 10.4171/ifb/8
%F 10_4171_ifb_8
