Coupling kinetic Monte-Carlo and continuum models with application to epitaxial growth

Tim P. Schulze, Peter Smereka, E. Weinan

Research output: Contribution to journalArticle

45 Scopus citations

Abstract

We present a hybrid method for simulating epitaxial growth that combines kinetic Monte-Carlo (KMC) simulations with the Burton-Cabrera-Frank model for crystal growth. This involves partitioning the computational domain into KMC regions and regions where we time-step a discretized diffusion equation. Computational speed and accuracy are discussed. We find that the method is significantly faster than KMC while accounting for stochastic fluctuations in a comparable way.

Original languageEnglish (US)
Pages (from-to)197-211
Number of pages15
JournalJournal of Computational Physics
Volume189
Issue number1
DOIs
StatePublished - Jul 20 2003

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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