Level-set methods for the simulation of epitaxial phenomena

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

Research output: Contribution to journalArticle

Abstract

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
Volume58
Issue number6
DOIs
StatePublished - 1998

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Level Set Method
Island Model
Rate Equations
dynamic models
Lateral
Dynamic Model
Simulation
Continuum
simulation
methodology
continuums
Motion
Methodology
Model

ASJC Scopus subject areas

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

Cite this

Gyure, M. F., Ratsch, C., Merriman, B., Caflisch, R., Osher, S., Zinck, J. J., & Vvedensky, D. D. (1998). Level-set methods for the simulation of epitaxial phenomena. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 58(6), R6927-R6930. https://doi.org/10.1103/PhysRevE.58.R6927

Level-set methods for the simulation of epitaxial phenomena. / Gyure, Mark F.; Ratsch, Christian; Merriman, Barry; Caflisch, Russel; Osher, Stanley; Zinck, Jennifer J.; Vvedensky, Dimitri D.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 58, No. 6, 1998, p. R6927-R6930.

Research output: Contribution to journalArticle

Gyure, Mark F. ; Ratsch, Christian ; Merriman, Barry ; Caflisch, Russel ; Osher, Stanley ; Zinck, Jennifer J. ; Vvedensky, Dimitri D. / Level-set methods for the simulation of epitaxial phenomena. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1998 ; Vol. 58, No. 6. pp. R6927-R6930.
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