Dynamics of surface roughening in disordered media

Z. Csahok, K. Honda, T. Vicsek

Research output: Contribution to journalArticle

61 Citations (Scopus)

Abstract

The authors present results on the roughening of growing interfaces obtained from a Kardar-Parisi-Zhang (KPZ) type continuum equation with quenched additive noise, representing frozen in disorder. Close to the pinning transition, for the exponents describing respectively the temporal and the spatial scaling of the surface from numerical integration in 1+1 dimensions they obtain beta =0.61+or-0.06 and alpha =0.71+or-0.08 up to a crossover time. These estimates are in good agreement with the theoretical prediction beta =3/5 and alpha =3/4 they derive from a dimensional analysis of the equation.

Original languageEnglish
Article number001
Pages (from-to)L171-L178
JournalJournal of Physics A: Mathematical and General
Volume26
Issue number5
DOIs
Publication statusPublished - Dec 1 1993

ASJC Scopus subject areas

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

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