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

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URI: http://hdl.handle.net/10016/6949
ISSN: 1539-3755
DOI: https://www.doi.org/10.1103/PhysRevE.57.R2491
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anomalous_cuerno_pre_1998_ps.pdf (139.68 KB)
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1998-03
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The American Physical Society
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Abstract
We study the interface dynamics of a discrete model previously shown [A. Sánchez, 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.
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4 pages, 3 figures.-- PACS nrs.: 05.40.+j, 05.70.Ln, 68.35.Fx, 81.15.Pq.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/9802033
Final publisher version available Open Access at: http://gisc.uc3m.es/~cuerno/publ_list.html
Keywords
[PACS] Fluctuation phenomena, random processes, noise, and Brownian motion, [PACS] Critical point phenomena, [PACS] Diffusion; interface formation, [PACS] Electrodeposition, electroplating
Bibliographic citation
Physical Review E, 1998, vol. 57, n. 3, p. R2491–R2494
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