Equivalent-circuit, scaling, random-walk simulation, and an experimental study of self-similar fractal electrodes and interfaces - Sorbonne Université Access content directly
Journal Articles Physical Review E Year : 1993

Equivalent-circuit, scaling, random-walk simulation, and an experimental study of self-similar fractal electrodes and interfaces

Abstract

A comprehensive study of the macroscopic transport parameters of self-similar interfaces is presented. The iteration of a simplified equivalent leads to the prediction of a simple mathematical expression for the impedance of fractal electrodes in d=2 and 3 dimensions. The same value is predicted by scaling arguments and verified by extended numerical simulations in d=2. Experiments on model electrodes confirm the theoretical prediction. We introduce the approximate concept of an information fractal. It gives a very simple access to the theory and a description of the regions of the fractal surface which are really active for the transport. The same result should apply to transport across fractal membranes and to certain Eley-Rideal heterogeneous catalysis processes.
No file

Dates and versions

hal-04523361 , version 1 (27-03-2024)

Identifiers

Cite

B. Sapoval, R. Gutfraind, P. Meakin, Michel Keddam, Hisasi Takenouti. Equivalent-circuit, scaling, random-walk simulation, and an experimental study of self-similar fractal electrodes and interfaces. Physical Review E , 1993, 48 (5), pp.3333-3344. ⟨10.1103/PhysRevE.48.3333⟩. ⟨hal-04523361⟩
0 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More