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

M. Castro, R. Cuerno, A. Sánchez, F. Dominguez-Adame

We study the interface dynamics of a discrete model previously shown [A. Sanchez, M. J. Bernal, and J. M. Riveiro, Phys. Rev. E 50, R2427 (1994)] to quantitatively describe electrochemical deposition experiments. The model allows for a finite density of biased random walkers which irreversibly stick onto a substrate. There is no surface diffusion. 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.


Keywords: electrochemical deposition, dendritic growth, columnar growth, surface growth, interfaces, erosion, alloys


Physical Review E. Volume: 57 Issue: 3 Pages: R2491-R2494

Published on paper: March 1998.



Citation:
M. Castro, R. Cuerno, A. Sánchez, F. Dominguez-Adame. Anomalous scaling in a nonlocal growth model in the Kardar-Parisi-Zhang universality class. Physical Review E. vol. 57, no. 3, pp. R2491-R2494, March 1998.


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