Energy Scaling and Asymptotic Properties of Step Bunching in Epitaxial Growth with Elasticity Effects
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Publication:2806424
DOI10.1137/15M1041821zbMath1338.74046MaRDI QIDQ2806424
Tao Luo, Yang Xiang, Nung Kwan Yip
Publication date: 18 May 2016
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Structured surfaces and interfaces, coexistent phases (74A50) Energy minimization in equilibrium problems in solid mechanics (74G65) Optimality conditions (49K99) Bounds for solutions of equilibrium problems in solid mechanics (74G45)
Related Items (2)
Continuum limit of a mesoscopic model with elasticity of step motion on vicinal surfaces ⋮ Energy scaling and asymptotic properties of one-dimensional discrete system with generalized Lennard-Jones \((m, n)\) interaction
Cites Work
- The evolution of a crystal surface: analysis of a one-dimensional step train connecting two facets in the ADL regime
- Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces
- Derivation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surface
- Regularity in Time for Weak Solutions of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
- Derivation of a Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in $2+1$ Dimensions
- Thin film epitaxy with or without slope selection
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Continuum Relaxation of Interacting Steps on Crystal Surfaces in $2+1$ Dimensions
- The growth of crystals and the equilibrium structure of their surfaces
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