A continuum description of the energetics and evolution of stepped surfaces in strained nanostructures

DOI10.1016/S0022-5096(02)00015-7zbMath1061.74004arXivcond-mat/0203514OpenAlexW1996737120MaRDI QIDQ700959

D. Kharzeev

Publication date: 16 October 2002

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0203514

zbMATH Keywords

variational formulationnucleationepitaxial film

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Crystalline structure (74E15) Statistical mechanics of crystals (82D25) Statistical mechanics of semiconductors (82D37)

Related Items (14)

Continuum limit of a mesoscopic model with elasticity of step motion on vicinal surfaces ⋮ Effect of elastic anisotropy on surface pattern evolution of epitaxial thin films ⋮ Existence Theorems for a Crystal Surface Model Involving the $p$-Laplace Operator ⋮ Gradient flow approach to an exponential thin film equation: global existence and latent singularity ⋮ Mathematical validation of a continuum model for relaxation of interacting steps in crystal surfaces in 2 space dimensions ⋮ Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model ⋮ The evolution of a crystal surface: analysis of a one-dimensional step train connecting two facets in the ADL regime ⋮ Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface ⋮ Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime ⋮ Surface evolution of elastically stressed films under deposition by a diffuse interface model ⋮ From crystal steps to continuum laws: behavior near large facets in one dimension ⋮ Modification of the elastic properties of nanostructures with surface charges in applied electric fields ⋮ The role of the configurational force balance in the nonequilibrium epitaxy of films ⋮ A proximal-gradient algorithm for crystal surface evolution

Cites Work

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• Evolution of waviness on the surface of a strained elastic solid due to stress-driven diffusion
• A surface chemical potential for elastic solids
• Numerical simulations of island formation in a coherent strained epitaxial thin film system

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