Island dynamics and the level set method for epitaxial growth

R. E. Caflisch, M. F. Gyure, B. Merriman, S. J. Osher, C. Ratsch, D. D. Vvedensky, J. J. Zinck

Research output: Contribution to journalArticlepeer-review


We adapt the level set method to simulate the growth of thin films described by the motion of island boundaries. This island dynamics model involves a continuum in the lateral directions, but retains atomic scale discreteness in the growth direction. Several choices for the island boundary velocity are discussed, and computations of the island dynamics model using the level set method are presented.

Original languageEnglish (US)
Pages (from-to)13-22
Number of pages10
JournalApplied Mathematics Letters
Issue number4
StatePublished - May 1999


  • Epitaxy
  • Island dynamics
  • Level set method
  • Thin films

ASJC Scopus subject areas

  • Applied Mathematics


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