Abstract
We consider the nonlinear behavior of the thin-film evolution equation for a strained solid film on a substrate. The evolution equation describes morphological changes to the film by surface diffusion in response to elastic energy, surface energy, and wetting energy. Due to the thin-film approximation, the elastic response of the film is determined analytically, resulting in a self-contained evolution equation which does not require separate numerical solution of the full three-dimensional elasticity problem. Using a pseudospectral predictor-corrector method we numerically determine the family of steady state solutions to this evolution equation which correspond to quantum dot and quantum ridge morphologies.
Publication Date
10-1-2007
Document Type
Article
Department, Program, or Center
School of Mathematical Sciences (COS)
Recommended Citation
W.T. Tekalign and B.J. Spencer, Journal of Applied Physics 102, 073503 (2007). https://doi.org/10.1063/1.2785024
Campus
RIT – Main Campus
Comments
This is the post-print of an article published by the American Institute of Physics. Copyright 2005 American Institute of Physics. The final, published version is available here: https://doi.org/10.1063/1.2785024
This research was supported by the National Science Foundation through a Nanoscale Interdisciplinary Research Team Grant (No. DMR-0102794).ISSN:0021-8979
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