Campus Units
Mathematics, Ames Laboratory
Document Type
Article
Publication Version
Published Version
Publication Date
12-2002
Journal or Book Title
Physical Review B
Volume
66
Issue
23
First Page
235410-1
Last Page
235410-12
DOI
10.1103/PhysRevB.66.235410
Abstract
The joint probability distribution (JPD) for island sizes, s, and capture zone areas, A, provides extensive information on the distribution of islands formed during submonolayer deposition. For irreversible island formation via homogeneous nucleation, this JPD is shown to display scaling of the type F(s/sav,A/Aav), where “av” denotes average values. The form of F reflects both a broad monomodal distribution of island sizes, and a significant spread of capture zone areas for each island size. A key ingredient determining this scaling behavior is the impact of each nucleation event on existing capture zone areas, which we quantify by kinetic Monte Carlo simulations. Combining this characterization of the spatial aspects of nucleation with a simplified but realistic factorization ansatz for the JPD, we provide a concise rate equation formulation for the variation of both the capture zone area and the island density with island size. This is achieved by analysis of the first two moments of the evolution equations for the JPD.
Copyright Owner
American Physical Society
Copyright Date
2002
Language
en
File Format
application/pdf
Recommended Citation
Evans, James W. and Bartelt, M. C., "Island sizes and capture zone areas in submonolayer deposition: Scaling and factorization of the joint probability distribution" (2002). Mathematics Publications. 12.
https://lib.dr.iastate.edu/math_pubs/12
Comments
This article is from Physical Review B 66 (2002): 234310, doi: 10.1103/PhysRevB.66.235410. Posted with permission.