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arXiv · 1311.3991

Analyzing Capture Zone Distributions (CZD) in Growth: Theory and Applications

T. L. Einstein·Alberto Pimpinelli·Diego Luis González
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Abstract

We have argued that the capture-zone distribution (CZD) in submonolayer growth can be well described by the generalized Wigner distribution (GWD) $P(s)=a s^β\exp(-b s^2)$, where $s$ is the CZ area divided by its average value. This approach offers arguably the best method to find the critical nucleus size $i$, since $β\approx i + 2$. 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 $0.5 < s < 2$, where the data is sufficiently large to be reliably accessible experimentally. We summarize and catalog the many experiments in which this method has been applied.

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T. L. Einstein, Alberto Pimpinelli, Diego Luis González. 2013-11-15. Analyzing Capture Zone Distributions (CZD) in Growth: Theory and Applications. https://doi.org/10.1016/j.jcrysgro.2014.01.053

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