Capture-zone scaling in Island nucleation: Universal fluctuation behavior

Alberto Pimpinelli, T. L. Einstein

Research output: Contribution to journalArticle

64 Scopus citations

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.

Original languageEnglish (US)
Article number226102
JournalPhysical Review Letters
Volume99
Issue number22
DOIs
StatePublished - Nov 27 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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