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Stochastic Models of Epitaxial Growth

Published online by Cambridge University Press:  07 March 2011

Dionisios Margetis ,
Paul N. Patrone  and
T. L. Einstein
Dionisios Margetis
Affiliation:
Department of Mathematics, and Institute for Physical Science and Technology, and Center for Scientific Computation and Mathematical Modeling, University of Maryland, College Park, MD 20742, U.S.A.
Paul N. Patrone
Affiliation:
Department of Physics, University of Maryland, College Park, MD 20742, U.S.A.
T. L. Einstein
Affiliation:
Department of Physics, University of Maryland, College Park, MD 20742, U.S.A.
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Abstract

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.

Keywords

epitaxydiffusionsimulation
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1318: Symposium SS/TT/UU/VV – Advances in Spectroscopy and Imaging of Surfaces and Nanostructures , 2011 , mrsf10-1318-uu07-04
Copyright
Copyright © Materials Research Society 2011

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References

REFERENCES

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