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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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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.