
The Library
A fractal model for the impedance of a rough surface
Tools
Ball, Robin 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. doi:10.1088/0305-4470/21/1/024 ISSN 0305-4470.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1088/0305-4470/21/1/024
Abstract
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, Engineering and Medicine > 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. | ||||
ISSN: | 0305-4470 | ||||
Official Date: | 1988 | ||||
Dates: |
|
||||
Volume: | Vol.21 | ||||
Number: | No.1 | ||||
Page Range: | pp. 197-204 | ||||
DOI: | 10.1088/0305-4470/21/1/024 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |