Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach

M. Grinfeld, W. Lamb, K. P. O'Neill, P. A. Mulheran

Research output: Contribution to journalArticle

13 Citations (Scopus)


The distribution of capture zones formed during the nucleation and growth of point islands on a one-dimensional substrate during monomer deposition is considered for general critical island size i. A fragmentation theory approach yields the small and (for i = 0) large-size asymptotics for the capture-zone distribution (CZD) under the assumption of no neighbour-neighbour gap-size correlation. These CZD asymptotic forms are different to those of the generalized Wigner surmise which has recently been proposed for island nucleation and growth models, and we discuss the reasons for the discrepancies.

Original languageEnglish
Article number015002
Pages (from-to)-
Number of pages10
JournalJournal of Physics A: Mathematical and Theoretical
Issue number1
Publication statusPublished - 13 Jan 2012



  • mediated island growth
  • size distribution
  • nucleation
  • kinetics
  • epitaxy

Cite this