Abstract

AbstractWe 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.

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