Capture-zone scaling in island nucleation: universal fluctuation behavior |
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Authors: | Pimpinelli Alberto Einstein T L |
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Institution: | LASMEA, UMR 6602 CNRS/Université Blaise Pascal-Clermont 2, F-63177 Aubière Cedex, France. alpimpin@univ-bpclermont.fr |
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Abstract: | In island nucleation and growth, the distribution of capture zones (in essence proximity cells) can be described by a simple expression generalizing the Wigner surmise (power-law rise, Gaussian decay) from random matrix theory that accounts for spacing distributions in a host of fluctuation phenomena. Its single adjustable parameter, the power-law exponent, can be simply related to the critical nucleus of growth models and the substrate dimensionality. We compare with extensive published kinetic Monte Carlo data and limited experimental data. A phenomenological theory elucidates the result. |
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