TY - JOUR
T1 - Analyzing capture zone distributions (CZD) in growth
T2 - Theory and applications
AU - Einstein, Theodore L.
AU - Pimpinelli, Alberto
AU - Luis González, Diego
N1 - Funding Information:
This work was supported by UMD NSF-MRSEC Grant DMR 05-20471 , NSF-CHE Grants 07-50334 and 13-05892 . We are grateful for collaborations on CZD analysis with theorists Rajesh Sathiyanarayanan and Ajmi BH. Hammouda, with the UMD experimental surface physics group, especially Ellen D. Williams, William G. Cullen, Brad Conrad, and Michelle Groce.
Publisher Copyright:
© 2014 Elsevier B.V.
PY - 2014/9/1
Y1 - 2014/9/1
N2 - We have argued that the capture-zone distribution (CZD) in submonolayer growth can be well described by the generalized Wigner distribution (GWD) P(s)=asβexp(-bs2), where s is the CZ area divided by its average value. This approach offers arguably the most robust (least sensitive to mass transport) method to find the critical nucleus size i, since β ≈i+2. Various analytical and numerical investigations, which we discuss, show that the simple GWD expression is inadequate in the tails of the distribution, it does account well for the central regime 0.5
AB - We have argued that the capture-zone distribution (CZD) in submonolayer growth can be well described by the generalized Wigner distribution (GWD) P(s)=asβexp(-bs2), where s is the CZ area divided by its average value. This approach offers arguably the most robust (least sensitive to mass transport) method to find the critical nucleus size i, since β ≈i+2. Various analytical and numerical investigations, which we discuss, show that the simple GWD expression is inadequate in the tails of the distribution, it does account well for the central regime 0.5
KW - A1. Crystal morphology
KW - A1. Growth models
KW - A1. Low dimensional structures
KW - A1. Surface structure
KW - A2. Single crystal growth
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U2 - 10.1016/j.jcrysgro.2014.01.053
DO - 10.1016/j.jcrysgro.2014.01.053
M3 - Article
AN - SCOPUS:84906959748
VL - 401
SP - 67
EP - 71
JO - Journal of Crystal Growth
JF - Journal of Crystal Growth
SN - 0022-0248
ER -