Berlin 2008 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Poster II
DY 29.46: Poster
Donnerstag, 28. Februar 2008, 16:00–18:00, Poster C
Comparison of phase-field models for surface diffusion — •Clemens Müller-Gugenberger1, Robert Spatschek1, 2, and Klaus Kassner3 — 1Institut für Festkörperforschung, Forschungszentrum Jülich, 52425 Jülich — 2Center for Interdisziplinary Research on Complex Systems, Northeastern University, Boston, MA 02115, USA — 3Otto-von-Guericke-Universität Magdeburg, Postfach 4120, 39016 Magdeburg
Many pattern-forming systems require the understanding of the dynamics of the moving boundary between different phases. While phase-field approaches have proven to be versatile tools for tackling such problems, they mostly dealt with nonconservative interface dynamics. But in many cases, like for elastically induced morphological instabilities, the description of surface-diffusion controlled dynamics, which leads to conserved dynamics, is desirable.
We show that a seemingly straightforward approach from the literature to model surface diffusion via the phase-field method fails to produce the correct asymptotics. Two models that approximate known sharp interface equations without adding undesired constraints are constructed. The numerical implications that come with the use of a given model are compared.