EQUIVALENT-CIRCUIT, SCALING, RANDOM-WALK SIMULATION, AND AN EXPERIMENTAL-STUDY OF SELF-SIMILAR FRACTAL ELECTRODES AND INTERFACES

A comprehensive study of the macroscopic transport parameters of self- similar interfaces is presented. The iteration of a simplified equival ent leads to the prediction of a simple mathematical expression for th e impedance of fractal electrodes in d=2 and 3 dimensions. The same va lue is predicted by scaling arguments and verified by extended numeric al simulations in d=2. Experiments on model electrodes confirm the the oretical prediction. We introduce the approximate concept of an inform ation fractal. It gives a very simple access to the theory and a descr iption of the regions of the fractal surface which are really active f or the transport. The same result should apply to transport across fra ctal membranes and to certain Eley-Rideal heterogeneous catalysis proc esses.