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Stability of facets of crystals growing from vapor

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83830

Title: Stability of facets of crystals growing from vapor
Authors: Giga, Yoshikazu Browse this author
Rybka, Piotr Browse this author
Issue Date: 14-Dec-2004
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 679
Start Page: 1
End Page: 17
Abstract: Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth from vapor. The equilibrium shape is assumed to be a regular circular cylinder. Our main concern is a problem whether or not a surface of cylindrical crystals (called a facet) is stable under evolution in the sense that its normal velocity is constant over the facet. If a facet is unstable, then it breaks or bends. A typical result we establish is that all facets are stable if the evolving crystal is near the equilibrium. The stability criterion we use is a variational principle for selecting the correct Cahn-Hoffman vector. The analysis of the phase plane of an evolving cylinder (identi ed with points in the plane) near the unique equilibrium provides a bound for ratio of velocities of top and lateral facets of the cylinders. 1
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69484
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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