Boundary Conditions for Burton–Cabrera–Frank Type Step-Flow Models: Coarse-Graining of Discrete 2D Deposition-Diffusion Equations

DOI10.1137/090778389zbMath1219.82111OpenAlexW2089755342MaRDI QIDQ3009300

David M. Ackerman, J. W. Evans

Publication date: 24 June 2011

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090778389

zbMATH Keywords

epitaxial growthEhrlich-Schwoebel barrierkinetic coefficientsvicinal surfacesattachment barrierdeposition-diffusion equationsstep-flowterrace and edge diffusion

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (3)

How does your crystal grow? A commentary on Burton, Cabrera and Frank (1951) ‘The growth of crystals and the equilibrium structure of their surfaces’ ⋮ Steric Hindrance of Crystal Growth: Nonlinear Step Flow in 1+1 Dimensions ⋮ Connection of Kinetic Monte Carlo Model for Surfaces to One-Step Flow Theory in 1+1 Dimensions

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