A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation

DOI10.1016/j.physd.2008.05.009zbMath1375.82118OpenAlexW2045296328MaRDI QIDQ1000709

Yoshikazu Giga, Etsuro Yokoyama, Piotr Rybka

Publication date: 10 February 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69694

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutionfacet instabilitymacroscopic time scale approximationmaximal stable region

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Statistical mechanics of crystals (82D25)

Related Items (10)

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Cites Work

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• Exit Time Problems in Optimal Control and Vanishing Viscosity Method
• User’s guide to viscosity solutions of second order partial differential equations
• The growth of crystals and the equilibrium structure of their surfaces
• Continuum theory of epitaxial crystal growth. I.
• A new approach to the continuum modeling of epitaxial growth: slope selection, coarsening, and the role of the uphill current

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