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Differential equation of a fractal electrode–electrolyte interface

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  • Felice, Carmelo José
  • Ruiz, Gabriel Alfredo

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.

Suggested Citation

  • Felice, Carmelo José & Ruiz, Gabriel Alfredo, 2016. "Differential equation of a fractal electrode–electrolyte interface," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 81-87.
    • Handle: RePEc:eee:chsofr:v:84:y:2016:i:c:p:81-87
    DOI: 10.1016/j.chaos.2016.01.003
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    References listed on IDEAS

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    1. Ruiz, G. & Felice, C.J., 2007. "Non-linear response of an electrode–electrolyte interface impedance with the frequency," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 327-335.
    2. Ruiz, G.A. & Felice, C.J. & Valentinuzzi, M.E., 2005. "Non-linear response of electrode–electrolyte interface at high current density," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 649-654.
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    1. Ruiz, G. & Felice, C.J., 2007. "Non-linear response of an electrode–electrolyte interface impedance with the frequency," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 327-335.

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