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Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach

Grinfeld, M. and Lamb, W. and O'Neill, K. P. and Mulheran, P. A. (2012) Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach. Journal of Physics A: Mathematical and Theoretical, 45 (1). -. ISSN 1751-8113

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Abstract

The distribution of capture zones formed during the nucleation and growth of point islands on a one-dimensional substrate during monomer deposition is considered for general critical island size i. A fragmentation theory approach yields the small and (for i = 0) large-size asymptotics for the capture-zone distribution (CZD) under the assumption of no neighbour-neighbour gap-size correlation. These CZD asymptotic forms are different to those of the generalized Wigner surmise which has recently been proposed for island nucleation and growth models, and we discuss the reasons for the discrepancies.

Item type: Article
ID code: 37169
Keywords: mediated island growth, size distribution, nucleation, kinetics, epitaxy, Probabilities. Mathematical statistics
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Faculty of Engineering > Chemical and Process Engineering
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Depositing user: Pure Administrator
Date Deposited: 30 Jan 2012 13:19
Last modified: 27 Mar 2014 09:56
URI: http://strathprints.strath.ac.uk/id/eprint/37169

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