Shape Evolution by Surface-Diffusion End Surface Attachment Limited Kinetics on Completely Faceted Surfaces

TitleShape Evolution by Surface-Diffusion End Surface Attachment Limited Kinetics on Completely Faceted Surfaces
Publication TypeJournal Article
Year of Publication1995
AuthorsCarter, WCraig, Roosen, AR, Cahn, JW, Taylor, JE
JournalActa Metallurgica Et Materialia
Volume43
Issue12
Pagination4309 - 4323
Date Published1995/12//
Abstract

The evolution of two-dimensional shapes to equilibrium shapes is investigated for two kinetic mechanisms, surface diffusion and surface attachment limited kinetics. Qualitative differences are found that may be used in experiments for easy distinction among the two mechanisms, and find topological changes not expected for the corresponding isotropic problems. We take advantage of the mathematical developments for surface evolution and equilibration problems when surface energy anisotropy is ''crystalline'', so extreme that crystals are fully faceted. We confirm the prediction that with this anisotropy these problems are more easily solvable than for lesser anisotropies, and the techniques developed may even be useful for approximating isotropic problems.