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

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

48 Downloads (Pure)

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

Access to Document

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

Fingerprint Dive into the research topics of 'Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition'. Together they form a unique fingerprint.

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 › peer-review

Cite this

@article{2f65e180d412437c96f5128cf84b1dda,

title = "Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition",

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].",

keywords = "capture zone distribution, fragmentation, nucleation, submonolayer deposition",

author = "Blackman, {J. A.} and M. Grinfeld and Mulheran, {P. A.}",

year = "2015",

month = dec,

day = "18",

doi = "10.1016/j.physleta.2015.10.024",

language = "English",

volume = "379",

pages = "3146--3148",

journal = "Physics Letters A",

issn = "0375-9601",

number = "47-48",

}

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

UR - http://www.scopus.com/inward/record.url?scp=84946108742&partnerID=8YFLogxK

UR - http://www.sciencedirect.com/science/article/pii/S0375960115008968

U2 - 10.1016/j.physleta.2015.10.024

DO - 10.1016/j.physleta.2015.10.024

M3 - Article

AN - SCOPUS:84946108742

VL - 379

SP - 3146

EP - 3148

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 47-48

ER -

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

Abstract

Keywords

Access to Document

Long-time behaviour of point islands under fixed rate deposition

Cite this