From Bell shapes to pyramids: a reduced continuum model for self-assembled quantum dot growth

DOI10.1016/j.physd.2010.01.014zbMath1186.82081OpenAlexW2107877854MaRDI QIDQ964907

P. L. Evans, Maciek D. Korzec

Publication date: 21 April 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2010.01.014

zbMATH Keywords

linear stability analysisstationary solutionscoarseninganisotropic surface energyself-assembly of quantum dotssmall slope approximation

Mathematics Subject Classification ID

Thin films (74K35) Statistical mechanics of solids (82D20) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (3)

Time-stepping methods for the simulation of the self-assembly of nano-crystals in MATLAB on a GPU ⋮ Interplay of quantum size effect, anisotropy and surface stress shapes the instability of thin metal films ⋮ Global attractors of sixth order PDEs describing the faceting of growing surfaces

Cites Work

• Effect of elastic anisotropy on surface pattern evolution of epitaxial thin films
• Three-dimensional finite element analysis of the evolution of voids and thin films by strain and electromigration induced surface diffusion
• Multiscale modeling in epitaxial growth. Papers based on the presentation at the workshop, Oberwolfach, Germany, January 18--24, 2004.
• Stationary Solutions of Driven Fourth- and Sixth-Order Cahn–Hilliard-Type Equations
• The Asaro-Tiller-Grinfeld instability revisited

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