J. Phys. I France
Volume 7, Numéro 11, November 1997
Page(s) 1487 - 1498
DOI: 10.1051/jp1:1997143
J. Phys. I France 7 (1997) 1487-1498

A Simple Method to Compute the Response of Non-Homogeneous and Irregular Interfaces: Electrodes and Membranes

M. Filoche and B. Sapoval

Laboratoire de Physique de la Matière Condensée, École Polytechnique, 91128 Palaiseau Cedex, France

(Received 23 April 1997, revised 7 July 1997, accepted 23 July 1997)

We present a detailed numerical test of the coarse-graining method proposed by Sapoval to compute the flux through an irregular interface in the case where the local response is inhomogeneously distributed. It is shown, through comparison with detailed finite elements simulations, that this method permits to deduce the flux across an irregular interface from its topography only, as for example in the case of non-uniform polarizability in electrochemistry. The interest of the method lies in its computational simplicity. It then constitutes an essential step towards the understanding of the flux across irregular interfaces in non-linear regimes.

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