Spacing distribution functions for the one-dimensional point-island model with irreversible attachment

Diego Luis González, Alberto Pimpinelli, T. L. Einstein

Research output: Contribution to journalArticle

19 Scopus citations

Abstract

We study the configurational structure of the point-island model for epitaxial growth in one dimension. In particular, we calculate the island gap and capture zone distributions. Our model is based on an approximate description of nucleation inside the gaps. Nucleation is described by the joint probability density pnXY(x,y), which represents the probability density to have nucleation at position x within a gap of size y. Our proposed functional form for pnXY(x,y) describes excellently the statistical behavior of the system. We compare our analytical model with extensive numerical simulations. Our model retains the most relevant physical properties of the system.

Original languageEnglish (US)
Article number011601
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume84
Issue number1
DOIs
StatePublished - Jul 6 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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