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Crossover of interface growth dynamics during corrosion and passivation

F D A Aarão Reis1 and Janusz Stafiej2

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We study a model of corrosion and passivation of a metallic surface in contact with a solution using scaling arguments and simulation. The passive layer is porous, so the metal surface is in contact with the solution. The volume excess of the products may suppress the access of the solution to the metal surface, but it is then restored by a diffusion mechanism. A metallic site in contact with the solution or with the porous layer can be passivated with rate p and the volume excess diffuses with rate D. At small times, the corrosion front grows linearly in time, but the growth velocity shows a t−1/2 decrease after a crossover time of order tc~D/p2, where the average front height is of order hc~D/p. A universal scaling relation between h/hc and t/tc is proposed and confirmed by simulation for 0.000 05≤p≤0.5 in square lattices. The roughness of the corrosion front shows a crossover from Kardar–Parisi–Zhang (KPZ) scaling to Laplacian growth (diffusion-limited erosion—DLE) at tc. The amplitudes of roughness scaling are obtained by the same kind of arguments as previously applied to the other competitive growth models. The simulation results confirm their validity. Since the proposed model captures the essential ingredients of different corrosion processes, we also expect these universal features to appear in real systems.


PACS

81.65.Rv Passivation

68.47.De Metallic surfaces

68.35.Ct Interface structure and roughness

81.65.Kn Corrosion protection

68.35.Fx Diffusion; interface formation

Subjects

Surfaces, interfaces and thin films

Dates

Issue 6 (14 February 2007)

Received 7 July 2006, in final form 18 September 2006

Published 22 January 2007



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