The linear dispersion relation for longwave surface perturbations, as derived by Levine et al. Phys. Rev. B 75, 205312 (2007) 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 films.
Applied Mechanics | Fluid Dynamics | Materials Science and Engineering | Nanoscience and Nanotechnology | Non-linear Dynamics | Numerical Analysis and Computation | Partial Differential Equations | Transport Phenomena
Recommended Repository Citation
Khenner, Mikhail; Tekalign, Wondimu T.; and Levine, Margo S.. (2011). Stability of a strongly anisotropic thin epitaxial film in a wetting interaction with elastic substrate. Accepted in Eur. Phys. Lett..
Available at: http://digitalcommons.wku.edu/math_fac_pub/32
Applied Mechanics Commons, Fluid Dynamics Commons, Materials Science and Engineering Commons, Nanoscience and Nanotechnology Commons, Non-linear Dynamics Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons, Transport Phenomena Commons