Connection of Kinetic Monte Carlo Model for Surfaces to One-Step Flow Theory in 1+1 Dimensions

DOI10.1137/13091587XzbMath1432.74022OpenAlexW1970574531MaRDI QIDQ5250336

Paul N. Patrone, Dionisios Margetis

Publication date: 19 May 2015

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

Full work available at URL: https://doi.org/10.1137/13091587x

zbMATH Keywords

discrete maximum principlemaster equationaveraging procedureBurton-Cabrera-Frank theorylow-density approximationnear-equilibrium condition

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Molecular, statistical, and kinetic theories in solid mechanics (74A25) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (1)

Steric Hindrance of Crystal Growth: Nonlinear Step Flow in 1+1 Dimensions

Cites Work

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• The role of processing speed in determining step patterns duringdirectional epitaxy
• Boundary Conditions for Burton–Cabrera–Frank Type Step-Flow Models: Coarse-Graining of Discrete 2D Deposition-Diffusion Equations
• Small fluctuations in epitaxial growth via conservative noise
• The growth of crystals and the equilibrium structure of their surfaces
• Continuum theory of epitaxial crystal growth. I.

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