Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster II

DY 30.48: Poster

Donnerstag, 29. März 2007, 16:00–18:00, Poster D

How to model surface diffusion using the phase-field approach — •Klaus Kassner — Institut für Theoretische Physik, Otto-von-Guericke-Universität Magdeburg, Postfach 4120, D-39016 Magdeburg

It is demonstrated that the description of surface diffusion controlled dynamics via the phase-field method is less trivial than appears at first sight. A seemingly straightforward approach previously used in the literature is shown to fail to produce the correct asymptotics, albeit in a subtle manner. An apparently obvious alternative fails for a complementary reason. Finally, a model is constructed that asymptotically approaches known sharp-interface equations without adding undesired constraints. For all the models, linear stability of a planar front is investigated both analytically and numerically, in order to assess their utility in numerical simulations.