Rate Equation Theory for Island Sizes and Capture Zone Areas in Submonolayer Deposition: Realistic Treatment of Spatial Aspects of Nucleation
Author(s) -
J.W. Evans,
Maozhi Li,
M. C. Bartelt
Publication year - 2002
Publication title -
mrs proceedings
Language(s) - English
Resource type - Journals
eISSN - 1946-4274
pISSN - 0272-9172
DOI - 10.1557/proc-749-w2.2
Subject(s) - nucleation , ansatz , deposition (geology) , materials science , statistical physics , characterization (materials science) , nanotechnology , thermodynamics , physics , geology , sediment , paleontology , quantum mechanics
Extensive information on the distribution of islands formed during submonolayer deposition is provided by the joint probability distribution (JPD) for island sizes, s, and capture zone areas, A. A key ingredient determining the form of the JPD is the impact of each nucleation event on existing capture zone areas. Combining a realistic characterization of such spatial aspects of nucleation with a factorization ansatz for the JPD, we provide a concise rate equation formulation for the variation with island size of both the capture zone area and the island density.
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