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CNA Seminar
Amy Novick-Cohen
Technion, Haifa
Title: Mobility measurements for grain growth: the grim reaper solution

Abstract: Grain growth depends on the motion of the grain boundaries, which have been assumed since the 1956 paper by Mullins to be governed by mean curvature motion, V=AK, although clearly additional effects may be present. In order to make an accurate connection between theory and experiment, it is necessary to have an accurate estimate for A, the ``mobility coefficient." A classical tool in this direction are bi-crystals in the half-loop geometry. In such bi-crystal a single grain boundary is present whose evolution may be roughly described by the grim reaper solution of the mean curvature motion equation in the plane. However, all real physical systems are actually 3D rather than 2D, and thus there are additional effects which influence the measurements and perturb the grim reaper solution. Some perturbed grim reaper solutions are discussed, and how they influence grain boundary mobiility measurements.

Recording (avi): http://mm.math.cmu.edu/recordings/cna/CNA-AmyNovickCohenTape-Oct-10-2013.avi
Recording (mp4): http://mm.math.cmu.edu/recordings/cna/CNA-AmyNovickCohenTape-Oct-10-2013.mp4
Date: Thursday, October 10, 2013
Time: 1:30 pm
Location: Wean 7218
Submitted by:  David Kinderlehrer