Analysis of island dynamics in epitaxial growth of thin films

Russel Caflisch, Bo Li

Research output: Contribution to journalArticle

Abstract

This work is concerned with analysis and refinement for a class of island dynamics models for epitaxial growth of crystalline thin films. An island dynamics model consists of evolution equations for step edges (or island boundaries), coupled with a diffusion equation for the adatom density, on an epitaxial surface. The island dynamics model with irreversible aggregation is confirmed to be mathematically ill-posed, with a growth rate that is approximately linear for large wavenumbers. By including a kinetic model for the structure and evolution of step edges, the island dynamics model is made mathematically well-posed. In the limit of small edge Peclet number, the edge kinetics model reduces to a set of boundary conditions, involving line tension and one-dimensional surface diffusion, for the adatom density. Finally, in the infinitely fast terrace diffusion limit, a simplified model of one-dimensional surface diffusion and kink convection is derived and found to be linearly stable.

Original languageEnglish (US)
Pages (from-to)150-171
Number of pages22
JournalMultiscale Modeling and Simulation
Volume1
Issue number1
DOIs
StatePublished - 2003

Fingerprint

Island Model
Epitaxial Growth
Epitaxial growth
Thin Films
Dynamic models
Dynamic Model
dynamic models
Surface Diffusion
Thin films
Adatoms
Surface diffusion
Kinetic Model
thin films
surface diffusion
adatoms
Fast Diffusion
Diffusion Limit
Kinetics
Peclet number
Kink

Keywords

  • Adatom diffusion
  • Epitaxial growth
  • Island dynamics
  • Line tension
  • Linear stability
  • Normal velocity
  • Step edges
  • Step-edge kinetics
  • Surface diffusion

ASJC Scopus subject areas

  • Chemistry(all)
  • Modeling and Simulation
  • Ecological Modeling
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

Analysis of island dynamics in epitaxial growth of thin films. / Caflisch, Russel; Li, Bo.

In: Multiscale Modeling and Simulation, Vol. 1, No. 1, 2003, p. 150-171.

Research output: Contribution to journalArticle

Caflisch, Russel ; Li, Bo. / Analysis of island dynamics in epitaxial growth of thin films. In: Multiscale Modeling and Simulation. 2003 ; Vol. 1, No. 1. pp. 150-171.
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