Growth, structure and pattern formation for thin films

DOI10.1007/s10915-008-9206-8zbMath1203.74099OpenAlexW2108748043MaRDI QIDQ618399

Russel E. Caflisch

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9206-8

zbMATH Keywords

strain energylevel set methodepitaxial growthquantum dotsnanocrystalsisland dynamicslattice statics

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Statistical mechanics of crystals (82D25) Thin films (74K35) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (3)

The island dynamics model on parallel quadtree grids ⋮ Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method ⋮ A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces

Cites Work

• Unnamed Item
• An application of multigrid methods for a discrete elastic model for epitaxial systems
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• A level set approach to a unified model for etching, deposition, and lithography. III: Redeposition, reemission, surface diffusion, and complex simulations
• A level-set method for simulating island coarsening
• Spiral crystal growth
• Level set methods and dynamic implicit surfaces
• A level set approach to a unified model for etching, deposition, and lithography. I: Algorithms and two-dimensional simulations
• A level set approach to a unified model for etching, deposition, and lithography. II: Three-dimensional simulations
• Computation of strained epitaxial growth in three dimensions by kinetic Monte Carlo
• The elastic field of a surface step: The Marchenko--Parshin formula in the linear case
• Exact Artificial Boundary Conditions for Continuum and Discrete Elasticity
• Analysis of Island Dynamics in Epitaxial Growth of Thin Films
• Strain in layered nanocrystals
• A Step‐Flow Model for the Heteroepitaxial Growth of Strained, Substitutional, Binary Alloy Films with Phase Segregation: I. Theory
• The growth of crystals and the equilibrium structure of their surfaces
• A level set method for thin film epitaxial growth

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