Width distribution for (2+1)-dimensional growth and deposition processes

Zoltn Rcz, Michael Plischke

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Nonequilibrium growth processes are frequently characterized by the width w(L,t) of the active zone, where t is the time elapsed since the start of the process and L is the spatial interval over which the measurement is carried out. Quite generally, w(L,t) obeys a scaling form w(L,t)Lf(tL-z), and many workers have attempted to determine the dynamic universality class of such processes by a measurement of the exponents and z. In this paper, we calculate the steady-state width distribution P(w2) for several three-dimensional growth processes and show that, expressed in a suitable form, P(w2) can be used to distinguish between different possible universality classes. We also reanalyze experimental data obtained by scanning-tunneling or atomic-force microscopy and show that P(w2) provides valuable information on the nature of a growth process.

Original languageEnglish
Pages (from-to)3530-3537
Number of pages8
JournalPhysical Review E
Issue number5
Publication statusPublished - Jan 1 1994


ASJC Scopus subject areas

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

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