A Connection Between Anomalous Poisson–Nernst–Planck Model and Equivalent Circuits with Constant Phase Elements

A connection between the impedance spectroscopy response of an anomalous Poisson–Nernst–Planck (PNPA) diffusional model and of equivalent circuits containing constant phase elements (CPEs) is established for a typical electrolytic cell. The analysis is carried out in the limit of low frequency in order to highlight the surface effects and to explore how they can be connected to the presence of CPEs in the circuit. It is shown that, depending on the choice of the equivalent circuit, the action of these elements can be the same as the one obtained using integro–differential boundary conditions to describe anomalous diffusive processes in the framework of PNPA models. The predictions are also compared with experimental data obtained from an electrolytic solution.