Growing surfaces with anomalous diffusion: Results for the fractal Kardar-Parisi-Zhang equation

Eytan Katzav*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

A model for a growing surface in the presence of anomalous diffusion, known as the fractal Kardar-Parisi-Zhang equation (FKPZ) was studied. The equation included a fractional Laplacian which accounted for the possibility that the cause of surface transport was a hopping mechanism of a Levy flight. To predict the critical exponents for the FKPZ model for any choice of the parameters and any spatial dimension, the self-consistent expansion (SCE) was used for the purpose.

Original languageAmerican English
Article number031607
Pages (from-to)316071-316075
Number of pages5
JournalPhysical Review E
Volume68
Issue number3 1
StatePublished - Sep 2003
Externally publishedYes

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