Anisotropy in multi-phase systems: a phase field approach

  • Harald Garcke

    Universität Regensburg, Germany
  • Barbara Stoth

    Universität Bonn, Germany
  • B. Nestler

    RWTH Aachen, Germany


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.

Cite this article

Harald Garcke, Barbara Stoth, B. Nestler, Anisotropy in multi-phase systems: a phase field approach. Interfaces Free Bound. 1 (1999), no. 2, pp. 175–198

DOI 10.4171/IFB/8