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

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

Research output: Contribution to journal › Article

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].

LanguageEnglish
Pages3146-3148
Number of pages3
JournalPhysics Letters A
Volume379
Issue number47-48
DOIs
StatePublished - 18 Dec 2015

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Convolution
fragmentation
Nucleation
data simulation
Substrates
convolution integrals
nucleation
Monte Carlo simulation

Keywords

  • capture zone distribution
  • fragmentation
  • nucleation
  • submonolayer deposition

Cite this

Blackman, J. A. ; Grinfeld, M. ; Mulheran, P. A./ Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition. In: Physics Letters A. 2015 ; Vol. 379, No. 47-48. pp. 3146-3148
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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].",
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Blackman, JA, Grinfeld, M & Mulheran, PA 2015, 'Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition' Physics Letters A, vol. 379, no. 47-48, pp. 3146-3148. DOI: 10.1016/j.physleta.2015.10.024

Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition. / Blackman, J. A.; Grinfeld, M.; Mulheran, P. A.

In: Physics Letters A, Vol. 379, No. 47-48, 18.12.2015, p. 3146-3148.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition

AU - Blackman,J. A.

AU - Grinfeld,M.

AU - Mulheran,P. A.

PY - 2015/12/18

Y1 - 2015/12/18

N2 - 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].

AB - 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].

KW - capture zone distribution

KW - fragmentation

KW - nucleation

KW - submonolayer deposition

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Blackman JA, Grinfeld M, Mulheran PA. Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition. Physics Letters A. 2015 Dec 18;379(47-48):3146-3148. Available from, DOI: 10.1016/j.physleta.2015.10.024

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