Kardar-Parisi-Zhang equation with temporally correlated noise: A self-consistent approach

Eytan Katzav*, Moshe Schwarte

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

A time-dependent self-consistent approach was developed to deal with the Kardar-Parisi-Zhang (KPZ) equation driven by a temporally correlated noise. It was found that when temporally correlated noise is present in the system, then slow relaxations of various time-dependent quantities should control the long-time behavior. It was also found that the KPZ equation has both a strong-coupling and a weak-coupling solution. The results indicate towards the advantage in using the self-consistent approach as it can be generalized in a simple way to discuss noise with arbitrary spatiotemporal correlations.

Original languageAmerican English
Article number011601
Pages (from-to)011601-1-011601-12
JournalPhysical Review E
Volume70
Issue number1 1
DOIs
StatePublished - Jul 2004
Externally publishedYes

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