A fractal model for the impedance of a rough surface
Ball, R. C. and Blunt, M. J.. (1988) A fractal model for the impedance of a rough surface. Journal of Physics A: Mathematical and General, Vol.21 (No.1). pp. 197-204. ISSN 0305-4470 (In Press)Full text not available from this repository.
Official URL: http://dx.doi.org/10.1088/0305-4470/21/1/024
The authors present a fractal model for a rough interface between an electrode and an electrolyte. They calculate that the complex surface impedance is Z=K(Z0)p where Z0 is the impedance of a flat interface. If the fractal dimension, df, of the boundary is written as 2+ delta , where delta is small, then, to first order in delta , p=1-2 delta . For a purely capacitive interface, Z0=1/i omega C, this gives an anomalous power-law frequency dependence as seen experimentally by Bottelberghs and Broers (1976) and by Armstrong and Burnham (1976). The authors explicitly calculate the prefactor K and the range of frequency for which this law is observed in terms of the range of lengths over which the interface is rough.
|Item Type:||Journal Article|
|Subjects:||Q Science > QC Physics|
|Divisions:||Faculty of Science > Physics|
|Library of Congress Subject Headings (LCSH):||Fractals, Interfaces (Physical sciences) -- Mathematical models, Electrodes -- Surfaces, Electrolytes, Surfaces (Physics)|
|Journal or Publication Title:||Journal of Physics A: Mathematical and General|
|Publisher:||Institute of Physics Publishing Ltd.|
|Page Range:||pp. 197-204|
|Publication Status:||In Press|
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