Self-consistent expansion results for the nonlocal Kardar-Parisi-Zhang equation

Eytan Katzav*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

Predictions for the scaling exponents of the nonlocal Kardar-Parisi-Zhang (NKPZ) equations are discussed. Self-consistent expansion (SCE) method is used to derive reliable results that are consistent with the exact one-dimensional result. It is demonstrated that the results obtained using SCE recover an exact result for a subfamily of the NKPZ models in one dimension. It is shown that SCE result is the only one compatible with simple observations on the dependence of the dynamic exponent z in the NKPZ model on the exponent ρ characterizing the decay of the nonlinear interaction.

Original languageAmerican English
Article number046113
Pages (from-to)461131-461138
Number of pages8
JournalPhysical Review E
Volume68
Issue number4 2
StatePublished - Oct 2003
Externally publishedYes

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