BibTeX
@MISC{Taylor_anisotropicinterface,
author = {Jean E. Taylor},
title = {Anisotropic Interface Motion},
year = {}
}
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Abstract
Mathematical models for various types of crystal surface motions have been made. They all reduce some energy which includes a given (usually crystalline) anisotropic surface free energy and perhaps a bulk free energy. The mechanisms which govern the motions are attachment/detachment kinetics, diffusion of atoms over surfaces, and perhaps diffusion within the bulk phases. At each instant the motions are gradient flows for the energy with respect to different inner products. Particularly important issues that the models handle are allowing for changes in topology (connectivity). The work involves proving new theorems, developing new methods of computation, and working on specific applications to problems in materials science. This work was partially funded by the Advanced Research Projects Agency through the National Institute of Standards and Technology and by the National Science Foundation. Introduction In this paper I will give examples of some of the types of motions for which I h...
Keyphrases
anisotropic interface motion crystal surface motion bulk free energy gradient flow new method attachment detachment kinetics particularly important issue various type national institute mathematical model different inner product specific application national science foundation new theorem advanced research project agency surface free energy material science
