Anomalous scaling in a non local growth model in the Kardar-Parisi-Zhang universality class

Details Anomalous scaling in a non local growth model in the Kardar-Parisi-Zhang universality class Anomalous scaling in a non local growth model in the Kardar-Parisi-Zhang universality class

1998-02-03

arxiv.org/abs/cond-mat/9802033v1

Physics

Condensed Matter

Statistical Mechanics

REVTEX (4 pages) and three figures (postscript), to be published in PRE (rapid communication, March, 1998)

Scientific paper

10.1103/PhysRevE.57.R2491

We study the interface dynamics of a discrete model to quantitatively describe electrochemical deposition experiments. Extensive numerical simulations indicate that the interface dynamics is unstable at early times, but asymptotically displays the scaling of the Kardar-Parisi-Zhang universality class. During the time interval in which the surface is unstable, its power spectrum is anomalous; hence the behaviors at length scales smaller than or comparable with the system size are described by different roughness exponents. These results are expected to apply to a wide range of electrochemical deposition experiments.

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