Berlin 2008 – wissenschaftliches Programm

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MM: Fachverband Metall- und Materialphysik

MM 13: Growth

MM 13.2: Vortrag

Montag, 25. Februar 2008, 15:00–15:15, H 0111

Monte Carlo simulation and mean-field theory of nanocrystalline grain growth — •Dana Zöllner and Peter Streitenberger — Institut für Experimentelle Physik, Abteilung Materialphysik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, D-39106 Magdeburg

Nanocrystalline grain growth in polycrystals is modelled under the assumption that the mobility of grain boundaries is limited at small grain sizes. In particular, following the works of Gottstein, Shvindlerman, Novikov and others, it is assumed that the grain boundary mobility depends, for two-dimensional grain growth, on the triple junction distance.

Based on this assumption a modified Monte Carlo Potts model algorithm is presented allowing the simulation of grain growth controlled by size effects. For initially very small grains linear grain growth kinetics is observed, which is associated with an approximately quasi-stationary self-similar grain size distribution shifted to smaller relative grain sizes. This linear growth regime can adequately be described by a statistical mean-field theory yielding an analytical grain size distribution function that is in good agreement with the simulation results.