Level-set methods for the simulation of epitaxial phenomena

Mark F. Gyure, Christian Ratsch, Barry Merriman, Russel E. Caflisch, Stanley Osher, Jennifer J. Zinck, Dimitri D. Vvedensky

Research output: Contribution to journalArticlepeer-review


We introduce a model for epitaxial phenomena based on the motion of island boundaries, which is described by the level-set method. Our model treats the growing film as a continuum in the lateral direction, but retains atomistic discreteness in the growth direction. An example of such an “island dynamics” model using the level-set method is presented and compared with the corresponding rate equation description. Extensions of our methodology to more general settings are then discussed.

Original languageEnglish (US)
Pages (from-to)R6927-R6930
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number6
StatePublished - 1998

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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