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)

Abstract

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
Volume31
Issue number22
DOIs
Publication statusPublished - Jun 5 1998

Fingerprint

Surface Growth
Mean field theory
Mean-field Theory
Coverage
Recursion Relations
Linear Relation
Continuum Model
Approximation
approximation
Statistical property
Upper and Lower Bounds
Deduce
Exponent
Substrate
exponents
continuums
Numerical Simulation
Computer simulation
Substrates
simulation

ASJC Scopus subject areas

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

Cite this

Mean-field theory of polynuclear surface growth. / Ben-Naim, E.; Bishop, A. R.; Daruka, I.; Krapivsky, P. L.

In: Journal of Physics A: Mathematical and General, Vol. 31, No. 22, 05.06.1998, p. 5001-5012.

Research output: Contribution to journalArticle

Ben-Naim, E. ; Bishop, A. R. ; Daruka, I. ; Krapivsky, P. L. / Mean-field theory of polynuclear surface growth. In: Journal of Physics A: Mathematical and General. 1998 ; Vol. 31, No. 22. pp. 5001-5012.
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