Scaling of island size and capture zone distributions in submonolayer growth

Details Scaling of island size and capture zone distributions in submonolayer growth Scaling of island size and capture zone distributions in submonolayer growth

2011-05-31

arxiv.org/abs/1105.6346v1

Phys. Rev. B 83, 201405(R) (2011)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 3 figures

Scientific paper

10.1103/PhysRevB.83.201405

Island size and capture zone distributions (ISDs, CZDs) are studied numerically in submonolayer growth with various critical island sizes and shapes. CZDs scaled by the variance show excellent agreement with the Wigner surmise, confirming the Pimpinelli-Einstein approach for large CZs / large island dynamics. The ISD decay as exp(-s^x), with x=4, x approx 2.4 and 2 for point, fractal, and square islands, respectively. A scaling approach explains the values of x from the Gaussian decay of CZD and the efficiency of islands to capture diffusing adatoms.

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