Anomalous Warburg impedance and universal surface magnetic exponent for Gaussian models in the presence of fractal boundaries.

Abstract

Recent results on the anomalous frequency dependence of the diffusion impedance in electrolytic cells with rough electrodes are shown to be relevant for the problem of surface critical exponents of Gaussian models in the presence of fractal boundaries. On the basis of this, surface magnetic exponents are predicted, which turn out to be independent of the surface fractal dimension. Generalizations of the above results to the cases of anomalous diffusion and of cells with fractal bulk properties are also presented.