Level-set method for island dynamics in epitaxial growth

C. Ratsch, M. F. Gyure, Russel Caflisch, F. Gibou, M. Petersen, M. Petersen, M. Kang, J. Garcia, D. D. Vvedensky, D. D. Vvedensky

Research output: Contribution to journalArticle

Abstract

A level-set model for the simulation of epitaxial growth is described. In this model, the motion of island boundaries of discrete atomic layers is determined by the time evolution of a continuous level-set function φ. The adatom concentration is treated in a mean-field manner. We use this model to systematically examine the importance of various fluctuations in the submonolayer and multilayer regimes. We find that, in the submonolayer regime for large values of D/F, the dominant fluctuations are associated with the spatial seeding of islands. We also show how different microscopic mechanisms can be included into this formalism. In the multilayer regime, our model exhibits surface roughening.

Original languageEnglish (US)
Article number195403
Pages (from-to)1954031-19540313
Number of pages17586283
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume65
Issue number19
DOIs
StatePublished - May 15 2002

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Epitaxial growth
Multilayers
Adatoms
inoculation
adatoms
formalism
simulation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Ratsch, C., Gyure, M. F., Caflisch, R., Gibou, F., Petersen, M., Petersen, M., ... Vvedensky, D. D. (2002). Level-set method for island dynamics in epitaxial growth. Physical Review B - Condensed Matter and Materials Physics, 65(19), 1954031-19540313. [195403]. https://doi.org/10.1103/PhysRevB.65.195403

Level-set method for island dynamics in epitaxial growth. / Ratsch, C.; Gyure, M. F.; Caflisch, Russel; Gibou, F.; Petersen, M.; Petersen, M.; Kang, M.; Garcia, J.; Vvedensky, D. D.; Vvedensky, D. D.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 65, No. 19, 195403, 15.05.2002, p. 1954031-19540313.

Research output: Contribution to journalArticle

Ratsch, C, Gyure, MF, Caflisch, R, Gibou, F, Petersen, M, Petersen, M, Kang, M, Garcia, J, Vvedensky, DD & Vvedensky, DD 2002, 'Level-set method for island dynamics in epitaxial growth', Physical Review B - Condensed Matter and Materials Physics, vol. 65, no. 19, 195403, pp. 1954031-19540313. https://doi.org/10.1103/PhysRevB.65.195403
Ratsch C, Gyure MF, Caflisch R, Gibou F, Petersen M, Petersen M et al. Level-set method for island dynamics in epitaxial growth. Physical Review B - Condensed Matter and Materials Physics. 2002 May 15;65(19):1954031-19540313. 195403. https://doi.org/10.1103/PhysRevB.65.195403
Ratsch, C. ; Gyure, M. F. ; Caflisch, Russel ; Gibou, F. ; Petersen, M. ; Petersen, M. ; Kang, M. ; Garcia, J. ; Vvedensky, D. D. ; Vvedensky, D. D. / Level-set method for island dynamics in epitaxial growth. In: Physical Review B - Condensed Matter and Materials Physics. 2002 ; Vol. 65, No. 19. pp. 1954031-19540313.
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