Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells Article Swipe

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Electrical impedance Anomalous diffusion Displacement current Electrolyte Formalism (music) Electrode Physics Mechanics Voltage Computer science Quantum mechanics Innovation diffusion Visual arts Knowledge management Art Musical

A.M. Scarfone , G. Barbero , L. R. Evangelista , E. K. Lenzi ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.3390/physchem2020012 · OA: W4280621833

We propose an anomalous diffusion approach to analyze the electrical impedance response of electrolytic cells using time-fractional derivatives. We establish, in general terms, the conservation laws connected to a modified displacement current entering the fractional approach formulation of the Poisson–Nernst–Planck (PNP) model. In this new formalism, we obtain analytical expressions for the electrical impedance for the case of blocking electrodes and in the presence of general integrodifferential boundary conditions including time-fractional derivatives of distributed order. A conceptual scenario thus emerges aimed at exploring anomalous diffusion and surface effects on the impedance response of the cell to an external stimulus.