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

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

2003-09-18

arxiv.org/abs/cond-mat/0309437v1

Phys. Rev. E 70, 061608 (2004)

Physics

Condensed Matter

Statistical Mechanics

16 pages, 3 figures

Scientific paper

10.1103/PhysRevE.70.061608

Ballistic 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.

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