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• W2092640021 abstract "A variational model for the epitaxial deposition of a film on a rigid substrate in the presence of a crystallographic misfit is studied. The scaling behavior of the minimal energy in terms of the volume of the film and the amplitude of the misfit is considered, and reduced models in the various regimes are derived by $Gamma$-convergence methods. Depending on the relation between the thickness of the film and the amplitude of the misfit, the surface or the elastic energy contribution dominates, and in the critical case the two contributions balance. In particular, the formation of islands is proven if the amplitude of the misfit is large compared to the volume of the film." @default.
• W2092640021 created "2016-06-24" @default.
• W2092640021 creator A5006823576 @default.
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• W2092640021 date "2014-01-01" @default.
• W2092640021 modified "2023-10-18" @default.
• W2092640021 title "Scaling Law and Reduced Models for Epitaxially Strained Crystalline Films" @default.
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• W2092640021 doi "https://doi.org/10.1137/120897250" @default.
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