Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions

Journal Article (Journal Article)

The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological grounds. Our goal is to show via scaling arguments the emergence of the BCF theory for noninteracting steps from a stochastic atomistic scheme of a kinetic restricted solid-on-solid model in one spatial dimension. Our main assumptions are: adsorbed atoms (adatoms) form a dilute system, and elastic effects of the crystal lattice are absent. The step edge is treated as a front that propagates via probabilistic rules for atom attachment and detachment at the step. We formally derive a quasistatic step flow description by averaging out the stochastic scheme when terrace diffusion, adatom desorption, and deposition from above are present.

Full Text

Duke Authors

Cited Authors

  • Lu, J; Liu, JG; Margetis, D

Published Date

  • March 4, 2015

Published In

Volume / Issue

  • 91 / 3

PubMed ID

  • 25871119

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/PhysRevE.91.032403

Citation Source

  • Scopus