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Non-Linear Response of Self-Similar Electrodes and Active Membranes

Published online by Cambridge University Press:  03 September 2012

B. Sapoval
B. Sapoval*
Affiliation:
Laboratoire de Physique de la Matière Condensée, C.N.R.S. Ecole Polytechnique, 91128 Palaiseau Cédex., France
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Abstract

We describe a simple way to compute the response of an irregular resistive interface to a Laplacian field in d=2. It permits to find the linear response of electrodes with an arbitrary geometry from the image only of the electrode. It also allows to compute the non-linear response of self similar electrodes. This method applies in principle to arbitrary irregular geometry in d=2 and it permits to predict generally that the slope of the Tafel plot is divided by the fractal dimension. These results may be transposed to the calculation of the steady state diffusion flux across an active self-similar membrane.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 367: Symposium P – Fractal Aspects of Materials , 1994 , 225
Copyright
Copyright © Materials Research Society 1995

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References

References:

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