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A connection between the impedance spectroscopy response of anomalousPoisson-Nernst-Planck (PNPA) diffusional models and of equivalent circuitscontaining constant phase elements (CPE) is established for a typicalelectrolytic cell. The analysis is carried out in the limit of low frequency inorder to highlight the surface effects and to explore how they can be connectedto the presence of CPE in the circuit. It is shown that, depending on thechoice of the equivalent circuit, the action of these elements can be the sameas the one obtained by using integro-differential boundary conditions todescribe anomalous diffusive processes in the framework of PNPA models. Thepredictions are also compared with an experimental data obtained from anelectrolytic solution.

A connection between anomalous Poisson-Nernst-Planck models and equivalent circuits with constant--phase elements