Island dynamics and the level set method for epitaxial growth

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

Research output: Contribution to journalArticle

Abstract

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
Volume12
Issue number4
DOIs
StatePublished - 1999

Fingerprint

Island Model
Epitaxial Growth
Level Set Method
Epitaxial growth
Dynamic models
Dynamic Model
Thin Films
Lateral
Continuum
Thin films
Motion

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Caflisch, R., Gyure, M. F., Merriman, B., Osher, S. J., Ratsch, C., Vvedensky, D. D., & Zinck, J. J. (1999). Island dynamics and the level set method for epitaxial growth. Applied Mathematics Letters, 12(4), 13-22. https://doi.org/10.1016/S0893-9659(99)00026-9

Island dynamics and the level set method for epitaxial growth. / Caflisch, Russel; Gyure, M. F.; Merriman, B.; Osher, S. J.; Ratsch, C.; Vvedensky, D. D.; Zinck, J. J.

In: Applied Mathematics Letters, Vol. 12, No. 4, 1999, p. 13-22.

Research output: Contribution to journalArticle

Caflisch, R, Gyure, MF, Merriman, B, Osher, SJ, Ratsch, C, Vvedensky, DD & Zinck, JJ 1999, 'Island dynamics and the level set method for epitaxial growth', Applied Mathematics Letters, vol. 12, no. 4, pp. 13-22. https://doi.org/10.1016/S0893-9659(99)00026-9
Caflisch R, Gyure MF, Merriman B, Osher SJ, Ratsch C, Vvedensky DD et al. Island dynamics and the level set method for epitaxial growth. Applied Mathematics Letters. 1999;12(4):13-22. https://doi.org/10.1016/S0893-9659(99)00026-9
Caflisch, Russel ; Gyure, M. F. ; Merriman, B. ; Osher, S. J. ; Ratsch, C. ; Vvedensky, D. D. ; Zinck, J. J. / Island dynamics and the level set method for epitaxial growth. In: Applied Mathematics Letters. 1999 ; Vol. 12, No. 4. pp. 13-22.
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