Study of island formation in epitaxially strained films on unbounded domains
Analysis of PDEs
2015-06-18 v2
Abstract
We consider a variational model for the formation of islands in heteroepitaxial growth on unbounded domains. We first derive the scaling regimes of the minimal energy in terms of the volume of the film and the amplitude of the crystallographic misfit. For small volumes, non-existence of minimizers is then proven. This corresponds to the experimentally observed wetting effect. On the other hand, we show the existence of minimizers for large volumes. We finally study the asymptotic behavior of the optimal shapes.
Keywords
Cite
@article{arxiv.1402.3955,
title = {Study of island formation in epitaxially strained films on unbounded domains},
author = {Peter Bella and Michael Goldman and Barbara Zwicknagl},
journal= {arXiv preprint arXiv:1402.3955},
year = {2015}
}