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

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dc.creatorKatzav, Eytan
dc.creatorSchwartz, Moshe
dc.date2003-09-18
dc.date.accessioned2026-07-07T09:33:32Z
dc.date.available2026-07-07T09:33:32Z
dc.descriptionBallistic deposition (BD) is considered to be a paradigmatic discrete growth model that represents the Kardar-Parisi-Zhang (KPZ) universality class. In this paper we question this connection by rigorously deriving a formal continuum equation from the BD microscopic rules, which deviates from the KPZ equation. In one dimension these deviations are not important in the presence of noise, but for higher dimensions or when considering deterministic evolution they are very relevant.
dc.description16 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0309437
dc.identifierhttp://arxiv.org/abs/cond-mat/0309437
dc.identifierPhys. Rev. E 70, 061608 (2004)
dc.identifierdoi:10.1103/PhysRevE.70.061608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159166
dc.subjectStatistical Mechanics
dc.titleWhat is the connection between ballistic deposition and the Kardar-Parisi-Zhang equation?
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