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

DOI10.1137/16M1110017zbMath1391.74017OpenAlexW2785485077WikidataQ90283101 ScholiaQ90283101MaRDI QIDQ4643800

Joshua Schneider, Paul N. Patrone, Dionisios Margetis

Publication date: 29 May 2018

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

Full work available at URL: https://doi.org/10.1137/16m1110017

zbMATH Keywords

master equationcrystal growthkinetic Monte Carlostep flowsteric hindrancemesoscale limit

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Free boundary problems for PDEs (35R35) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Connection of Kinetic Monte Carlo Model for Surfaces to One-Step Flow Theory in 1+1 Dimensions
• Multispecies epitaxial growth on vicinal surfaces with chemical reactions and diffusion
• A 2 + 1-Dimensional Terrace-Step-Kink Model for Epitaxial Growth Far from Equilibrium
• The growth of crystals and the equilibrium structure of their surfaces

This page was built for publication: Steric Hindrance of Crystal Growth: Nonlinear Step Flow in 1+1 Dimensions