What is the connection between ballistic deposition and the Kardar-Parisi-Zhang equation?

Eytan Katzav*, Moshe Schwartz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

The validity of the belief that the Ballistic deposition (BD) belongs to the Kardar-Parisi-Zhang (KPZ) universality classis studied by deriving a continuum equation from the BD microscopic rules, which deviates from the KPZ equation. It is shown that the deviation is not important in one dimension and in the presence of the noise. It is observed that in more than one dimension and in the presence of noise an equation that seems to be a continuum equation but in which the symmetry under rotations arond the growth is broken is obtained. It is also observed that mainly due to the form of continuum equation in dimensions higher than 1, the burden of proof shifts and heavy simulations are needed.

Original languageAmerican English
Article number061608
Pages (from-to)061608-1-061608-8
JournalPhysical Review E
Volume70
Issue number6 1
DOIs
StatePublished - Dec 2004
Externally publishedYes

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