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

Mario Castro·Rodolfo Cuerno·Angel S\anchez·Francisco Domínguez-Adame
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Abstract

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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Mario Castro, Rodolfo Cuerno, Angel S\anchez, Francisco Domínguez-Adame. 1998-02-03. Anomalous scaling in a non local growth model in the Kardar-Parisi-Zhang universality class. https://doi.org/10.1103/physreve.57.r2491

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