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Exact Scaling Form for the Island Size Distribution in Submonolayer Epitaxial Growth

Published online by Cambridge University Press:  15 February 2011

M. C. Bartelt
Affiliation:
Computational Materials Science Department, Sandia National Laboratory, Livermore CA 94550, mcb@io.ca.sandia.gov
J. W. Evans
Affiliation:
Department of Mathematics and Ames Laboratory, Iowa State University, Ames, Iowa 50011, evans@ameslab.gov
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Abstract

The exact scaling form is determined for the size distribution of islands created via irreversible nucleation and growth during submonolayer deposition. This form is controlled by a dependence on size of the propensity for islands to “capture” diffusing adatoms. This sizedependence is determined directly from simulations. It reflects a complex relationship between the size of an island, and the area of its cell in a tessellation of the surface based on the island locations. The relationship corresponds to a correlation between island size and separation.

Type
Research Article
Copyright
Copyright © Materials Research Society 1997

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