Stochastic models of epitaxial growth

Dionisios Margetis, Paul N. Patrone, T. L. Einstein

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


We study theoretical aspects of step fluctuations on vicinal surfaces by adding conservative white noise to the Burton-Cabrera-Frank model in one spatial dimension. We consider material deposition from above, as well as entropic and elastic-dipole step repulsions. Two approaches are discussed: (i) the linearization of stochastic equations when fluctuations are small, which captures correlations; and (ii) a mean field approach, which leaves out correlations but captures nonlinearities. Comparisons to kinetic Monte-Carlo simulations are presented.

Original languageEnglish (US)
Title of host publicationAdvances in Spectroscopy and Imaging of Surfaces and Nanostructures
Number of pages6
StatePublished - 2011
Externally publishedYes
Event2010 MRS Fall Meeting - Boston, MA, United States
Duration: Nov 29 2010Dec 3 2010

Publication series

NameMaterials Research Society Symposium Proceedings
ISSN (Print)0272-9172


Other2010 MRS Fall Meeting
Country/TerritoryUnited States
CityBoston, MA

Bibliographical note

Funding Information:
Research by the first author (DM) was supported by NSF under grant DMS 08-47587. Work by the other two authors (PP and TLE) was supported by the NSF MRSEC under grant DMR 05-20471 at the University of Maryland, with ancillary support from CNAM.


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