Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition

J. A. Blackman; M. Grinfeld; P. A. Mulheran

doi:10.1016/j.physleta.2015.10.024

Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition

J. A. Blackman, M. Grinfeld, P. A. Mulheran

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1 Citation (Scopus)

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Abstract

We consider the asymptotics of the distribution of the capture zones associated with the islands nucleated during submonolayer deposition onto a one-dimensional substrate. We use a convolution of the distribution of inter-island gaps, the asymptotics of which is known for a class of nucleation models, to derive the asymptotics for the capture zones. The results are in broad agreement with published Monte Carlo simulation data (O'Neill et al., 2012) [13].

Original language	English
Pages (from-to)	3146-3148
Number of pages	3
Journal	Physics Letters A
Volume	379
Issue number	47-48
DOIs	https://doi.org/10.1016/j.physleta.2015.10.024
Publication status	Published - 18 Dec 2015

Keywords

capture zone distribution
fragmentation
nucleation
submonolayer deposition

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10.1016/j.physleta.2015.10.024

Blackman-etal-PLA-2015-Asymptotics-of-capture-zone-distributions-in-a-fragmentation-based-modelAccepted author manuscript, 67.3 KBLicence: CC BY-NC-ND 4.0

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Research Output

1 Citations
1 Article

Long-time behaviour of point islands under fixed rate deposition

Grinfeld, M., O'Neill, K. P., Costin, O. & Park, H., 2013, In : Communications in Information and Systems. 13, 2, p. 183-200 18 p.

Research output: Contribution to journal › Article

Cite this

Blackman, J. A., Grinfeld, M., & Mulheran, P. A. (2015). Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition. Physics Letters A, 379(47-48), 3146-3148. https://doi.org/10.1016/j.physleta.2015.10.024

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