General Formulation of Laplacian Transfer Across Irregular Surfaces
- 12 December 1994
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (24), 3314-3316
- https://doi.org/10.1103/physrevlett.73.3314
Abstract
We describe a simple way to study the response of an irregular resistive interface to a Laplacian field. Using this method, one can find the response of an arbitrary electrochemical electrode from its geometry alone. The same method applies to the study of the steady-state transfer across irregular membranes with finite permeability.Keywords
This publication has 6 references indexed in Scilit:
- Equivalent-circuit, scaling, random-walk simulation, and an experimental study of self-similar fractal electrodes and interfacesPhysical Review E, 1993
- Fractal structure of polymer interfacesMacromolecules, 1993
- Electrochemistry at fractal surfacesJournal of Electroanalytical Chemistry and Interfacial Electrochemistry, 1991
- Electrical response of fractal and porous interfacesPhysical Review A, 1988
- On the Distortion of Boundary Sets Under Conformal MappingsProceedings of the London Mathematical Society, 1985
- Fractal model for the ac response of a rough interfacePhysical Review Letters, 1985