Steady-state scaling function of the (1 + 1)-dimensional single-step model

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Abstract

The steady-state height-height correlation function for the (1 + 1)-dimensional single-step model is calculated in a large-scale Monte Carlo simulation. Analysis of the data yields a universal ratio of scaling amplitudes which differs from the value obtained recently from a mode-coupling calculation. An empirical form for a universal scaling function is also presented.
Original languageEnglish
Pages (from-to)819–826
Number of pages8
JournalJournal of Statistical Physics
Volume67
Issue number3-4
DOIs
Publication statusPublished - May 1992

User-Defined Keywords

  • Surface roughening
  • Kardar-Parisi-Zhang theory
  • driven lattice-gas diffusion
  • dynamic scaling
  • universal scaling function

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