The level set method for epitaxial growth was developed by Stan Osher, the speaker and many collaborators. It is an island dynamics method, following the theory of Burton, Cabrera and Frank (1951), since it describes an epitaxial surface as consisting of a population of islands of atomistic height and a continuum density of adatoms. Nucleation is performed by random selection of a nucleation site, with the correct spatial probability distribution. This talk will describe the level set method, its capabilities and limitation, and some of the applications for which it has been used.
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