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Phys. Rev. E 57, R2491 - R2494 (1998)

Anomalous scaling in a nonlocal growth model in the Kardar-Parisi-Zhang universality class
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Mario Castro1 *, Rodolfo Cuerno2 †, Angel Sánchez2 ‡, and Francisco Domínguez-Adame1 §
1Grupo Interdisciplinar de Sistemas Complicados and Departamento de Física de Materiales, Facultad de Ciencias Físicas, Universidad Complutense, E-28040 Madrid, Spain
2Grupo Interdisciplinar de Sistemas Complicados, Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, E-28911 Leganés, Madrid, Spain

Rapid Communication Received 17 September 1997

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.


©1998 The American Physical Society

URL: http://link.aps.org/abstract/PRE/v57/pR2491
DOI: 10.1103/PhysRevE.57.R2491
PACS: 05.40.+j, 05.70.Ln, 68.35.Fx, 81.15.Pq

* Electronic address: mario@valbuena.fis.ucm.es
† Electronic address: cuerno@dulcinea.uc3m.es
‡ Electronic address: anxo@dulcinea.uc3m.es
§ Electronic address: adame@valbuena.fis.ucm.es

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