Kinetic model for a step edge in epitaxial growth

Russel Caflisch, W. E. Weinan, Mark F. Gyure, Barry Merriman, Christian Ratsch

Research output: Contribution to journalArticle

Abstract

A kinetic theory is formulated for the velocity of a step edge in epitaxial growth. The formulation involves kinetic, mean-field equations for the density of kinks and “edge adatoms” along the step edge. Equilibrium and kinetic steady states, corresponding to zero and nonzero deposition flux, respectively, are derived for a periodic sequence of step edges. The theoretical results are compared to results from kinetic Monte Carlo (KMC) simulations of a simple solid-on-solid model, and excellent agreement is obtained. This theory provides a starting point for modeling the growth of two-dimensional islands in molecular-beam epitaxy through motion of their boundaries, as an alternative to KMC simulations.

Original languageEnglish (US)
Pages (from-to)6879-6887
Number of pages9
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number6
DOIs
StatePublished - 1999

Fingerprint

Epitaxial Growth
Kinetic Monte Carlo
Kinetic Model
Monte Carlo Simulation
Kinetic Formulation
Periodic Sequence
Mean Field Equation
Epitaxy
Solid Model
kinetics
Kinetic Theory
Kink
Kinetics
Motion
Alternatives
Zero
kinetic theory
Modeling
adatoms
molecular beam epitaxy

ASJC Scopus subject areas

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

Cite this

Kinetic model for a step edge in epitaxial growth. / Caflisch, Russel; Weinan, W. E.; Gyure, Mark F.; Merriman, Barry; Ratsch, Christian.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 59, No. 6, 1999, p. 6879-6887.

Research output: Contribution to journalArticle

Caflisch, Russel ; Weinan, W. E. ; Gyure, Mark F. ; Merriman, Barry ; Ratsch, Christian. / Kinetic model for a step edge in epitaxial growth. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1999 ; Vol. 59, No. 6. pp. 6879-6887.
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