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Differential equation of a fractal electrode–electrolyte interface

Carmelo José Felice and Gabriel Alfredo Ruiz

Chaos, Solitons & Fractals, 2016, vol. 84, issue C, 81-87

Abstract: Understanding an electrode–electrolyte interface (EEI) behavior is a valuable tool in several areas of science. There are models based on discrete fractal structures, which explain the measurements of linear and non-linear impedance at fixed frequencies, or at determined ranges of high and low current densities. A level by level discrete calculation is needed to evaluate these models, or the use of black-box models, which affect the good understanding of the phenomenon. A continuous model based on a differential equation of an EEI is presented in this paper. It includes an electrical circuit similar to a long transmission line. It has been deduced from the discrete Liu model.

Keywords: Electrodes; Electrochemistry; Impedance; Fractal; Differential (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:84:y:2016:i:c:p:81-87

DOI: 10.1016/j.chaos.2016.01.003

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