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). -. 015002. ISSN 1751-8113
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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.
Creators(s): |
Grinfeld, M., Lamb, W. ![]() ![]() | Item type: | Article |
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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 |
Depositing user: | Pure Administrator |
Date deposited: | 30 Jan 2012 13:19 |
Last modified: | 20 Jan 2021 19:57 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/37169 |
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