The process of irreversible nucleation in multilayer growth. II. Exact results in one and two dimensions

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We study irreversible dimer nucleation on top of terraces during epitaxial growth in one and two dimensions, for all values of the step-edge barrier. The problem is solved exactly by transforming it into a first passage problem for a random walker in a higher-dimensional space. The spatial distribution of nucleation events is shown to differ markedly from the mean-field estimate except in the limit of very weak step-edge barriers. The nucleation rate is computed exactly, including numerical prefactors.
22 pages, 10 figures. To appear in Phys. Rev. E

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/96427

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0207404
 http://arxiv.org/abs/cond-mat/0207404
 Phys. Rev. E 66, 031606 (2002)
 doi:10.1103/PhysRevE.66.031606

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arXiv