The impedance of a self-affine surface
- 21 April 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (8) , 1179-1192
- https://doi.org/10.1088/0305-4470/22/8/029
Abstract
A family of self-affine surfaces is used to model the interface between a rough blocking electrode and an electrolyte. It is shown that the surface impedance scales as (i omega )-p where the exponent p varies from 0 to 1. An expression for p is found in terms of the surface geometry. It is shown that p depends on both the Holder exponent, H, and the degree of sparseness of the structure. For surfaces whose structure is everywhere dense, or very sparse, this anomalous power-law behaviour is no longer seen.Keywords
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