Island-size scaling in surface deposition processes
Author(s) -
M. C. Bartelt,
M. C. Tringides,
J. W. Evans
Publication year - 1993
Publication title -
physical review. b, condensed matter
Language(s) - English
Resource type - Journals
eISSN - 1095-3795
pISSN - 0163-1829
DOI - 10.1103/physrevb.47.13891
Subject(s) - scaling , nucleation , deposition (geology) , superlattice , diffusion , surface diffusion , statistical physics , materials science , diffraction , dynamic scaling , condensed matter physics , physics , optics , thermodynamics , chemistry , geology , geometry , mathematics , sediment , paleontology , adsorption
Diffusion-mediated nucleation and growth of islands during deposition occurs essentially irreversibly in a variety of systems. We provide a scaling theory for the full island-size distribution, both with the ratio of surface diffusion to deposition rates and with time. Scaling functions and exponents are determined by simulation and explained analytically by an unconventional rate-equation analysis. Experimental tests for theoretical predictions are discussed, including the scaling of superlattice beam profiles for diffraction studies of heteroepitaxial systems
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