Stability of a strongly anisotropic thin epitaxial film in a wetting interaction with elastic substrate
Department of Mathematics and Computer Science, Western Kentucky University Bowling Green, KY 42101, USA
2 School of Mathematical Sciences, Rochester Institute of Technology - Rochester, NY 14623, USA
3 Department of Radiology at Massachusetts General Hospital and Harvard Medical School - Boston, MA 02114, USA
Accepted: 31 December 2010
The linear dispersion relation for surface perturbations, as derived by Levine et al., Phys. Rev. B, 75 (2007) 205312, is extended to include a smooth surface energy anisotropy function with a variable anisotropy strength (from weak to strong, such that sharp corners and slightly curved facets occur on the corresponding Wulff shape). Through detailed parametric studies it is shown that a combination of a wetting interaction and strong anisotropy, and even a wetting interaction alone results in complicated linear stability characteristics of strained and unstrained solid films.
PACS: 68.55.J- – Morphology of films / 81.15.Aa – Theory and models of film growth / 81.16.Dn – Self-assembly
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