Width distribution of curvature-driven interfaces

A study of universality

M. Plischke, Z. Rácz, R. K P Zia

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

One-dimensional interfaces with curvature-driven growth kinetics are investigated. We calculate the steady-state distribution P(w2) of the square of the width of the interface w2 and show that, as in the case for random-walk interfaces, the result can be written in a scaling form w2P(w2)=(w2/w2), where w2 is the average of w2. The scaling function (x) is found to be distinct from that of random-walk interfaces, but, as our Monte Carlo simulations indicate, this function is universal for curvature-driven growth. It is argued that comparison of scaling functions can be a useful method for distinguishing between universality classes of growth processes.

Original languageEnglish
Pages (from-to)3589-3593
Number of pages5
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume50
Issue number5
DOIs
Publication statusPublished - 1994

Fingerprint

Universality
Curvature
curvature
Scaling Function
random walk
scaling
Random walk
Steady-state Distribution
Growth Process
Monte Carlo Simulation
Kinetics
Scaling
Distinct
Calculate
kinetics
simulation

ASJC Scopus subject areas

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

Cite this

Width distribution of curvature-driven interfaces : A study of universality. / Plischke, M.; Rácz, Z.; Zia, R. K P.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 50, No. 5, 1994, p. 3589-3593.

Research output: Contribution to journalArticle

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