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.

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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

Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works in February 2014.

Document Type


Department, Program, or Center

School of Mathematical Sciences (COS)


RIT – Main Campus