Mean-field theory of polynuclear surface growth

E. Ben-Naim, A. R. Bishop, I. Daruka, P. L. Krapivsky

Research output: Contribution to journalArticle

16 Citations (Scopus)


We study statistical properties of a continuum model of polynuclear surface growth on an infinite substrate. We develop a self-consistent mean-field theory which is solved to deduce the growth velocity and the extremal behaviour of the coverage. Numerical simulations show that this theory gives an improved approximation for the coverage compared to the previous linear recursion relations approach. Furthermore, these two approximations provide useful upper and lower bounds for a number of characteristics including the coverage, growth velocity and the width exponent.

Original languageEnglish
Pages (from-to)5001-5012
Number of pages12
JournalJournal of Physics A: Mathematical and General
Issue number22
Publication statusPublished - Jun 5 1998

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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