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

Abstract

Ballistic deposition (BD) is believed to belong to the Kardar-Parisi-Zhang (KPZ) universality class. In this paper we study the validity of this belief by rigorously deriving a continuum equation from the BD microscopic rules, which deviates from the KPZ equation. We show that in one dimension and in the presence of noise the deviation is not important. This is not the case in the absence of noise. In more than one dimension and in the presence of noise we obtain an equation that superficially seems to be a continuum equation but in which the symmetry under rotations around the growth direction is broken.

Original languageEnglish
Pages (from-to)8
Number of pages1
JournalPhysical Review E
Volume70
Issue number6
DOIs
StatePublished - 2004
Externally publishedYes

Fingerprint

Dive into the research topics of 'What is the connection between ballistic deposition and the Kardar-Parisi-Zhang equation?'. Together they form a unique fingerprint.

Cite this