Analysis of Island Dynamics in Epitaxial Growth of Thin Films

@article{Caflisch2003AnalysisOI,
  title={Analysis of Island Dynamics in Epitaxial Growth of Thin Films},
  author={Russel E. Caflisch and Bo Li},
  journal={Multiscale Modeling & Simulation},
  year={2003},
  volume={1},
  pages={150-171}
}
This work is concerned with analysis and refinement for a class of island dynamics models for epitaxial growth of crystalline thin films. An island dynamics model consists of evolution equations for step edges (or island boundaries), coupled with a diffusion equation for the adatom density, on an epitaxial surface. The island dynamics model with irreversible aggregation is confirmed to be mathematically ill-posed, with a growth rate that is approximately linear for large wavenumbers. By… CONTINUE READING
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