Relationship between a generalized restricted solid-on-solid growth model and a continuum equation for interface growth

David A. Huse, Jacques G. Amar, Fereydoon Family

Research output: Contribution to journalArticle

38 Scopus citations

Abstract

The equivalence between a recently studied generalized restricted solid-on-solid growth model and the corresponding continuum equation is discussed. It is shown that the unusual behavior observed in this model is due to a crossing of the corresponding nonlinearity parameter in the continuum equation from negative to positive values. The observed critical point where logarithmic (Edwards-Wilkinson) behavior was observed corresponds to the point at which this parameter vanishes. Monte Carlo simulations for the growth velocity as a function of overall interface tilt lend support to this idea.

Original languageEnglish (US)
Pages (from-to)7075-7077
Number of pages3
JournalPhysical Review A
Volume41
Issue number12
DOIs
StatePublished - Jan 1 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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