Dynamics of surface roughening with quenched disorder

S. Havlin*, L. A N Amaral, S. V. Buldyrev, S. T. Harrington, H. E. Stanley

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We study the dynamical exponent z for the directed percolation depinning (DPD) class of models for surface roughening in the presence of quenched disorder. We argue that z for d+1 dimensions is equal to the exponent dmin characterizing the shortest path between two sites in an isotropic percolation cluster in d dimensions. To test the argument, we perform simulations and calculate z for DPD, and dmin for percolation, from d=1 to d=6.

Original languageEnglish (US)
Pages (from-to)4205-4208
Number of pages4
JournalPhysical review letters
Volume74
Issue number21
DOIs
StatePublished - 1995

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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