Continuum limit of a step flow model of epitaxial growth

@inproceedings{Kohn2001ContinuumLO,
  title={Continuum limit of a step flow model of epitaxial growth},
  author={Robert V. Kohn and Tak Shing Lo and Nung Kwan Yip},
  year={2001}
}
We examine a class of step ow models of epitaxial growth obtained from a BurtonCabrera-Frank (BCF) type approach in one space dimension. Our goal is to derive a consistent contin uummodel for the ev olutionof the lm surface. Away from peaks and valleys, the surface height solves a Hamilton-Jacobi equation (HJE). The peaks are free boundaries for this HJE. Their evolution must be speci ed by boundary conditions re ecting the microscopic physics of nucleation. We inv estigate this boundary… CONTINUE READING

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