Theoretical model of the impedance of a fractal metal-electrolyte interface

W. Geerstsma, J.E. Gols and L. Pietronero

Physica A: Statistical Mechanics and its Applications, 1989, vol. 158, issue 3, 691-705

Abstract: The impedance of a rough metal-electrolyte interface is known to show a complex impedance of type Z(ω) ∼ (iω)−gh at low frequencies. We study this problem for interfaces characterized by a self-similar fractal geometry. In contrast to previous theoretical studies we show that: (i) local field effects play an important role and have to be included explicitly in the model; (ii) power law behaviour is obtained for a broad range of parameters but other behaviours are also possible; (iii) the exponent η depends explicitly on various features of the model and not only on the fractal dimensions of the surface.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:158:y:1989:i:3:p:691-705

DOI: 10.1016/0378-4371(89)90486-X

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