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- Title
Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells.
- Authors
Scarfone, Antonio M.; Barbero, Giovanni; Evangelista, Luiz R.; Lenzi, Ervin K.
- Abstract
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.
- Subjects
ELECTROLYTIC cells; ELECTRIC impedance; INTEGRO-differential equations; PLANCK'S energy; DISPLACEMENT currents (Electric); INSULATING materials
- Publication
Physchem, 2022, Vol 2, Issue 2, p163
- ISSN
2673-7167
- Publication type
Article
- DOI
10.3390/physchem2020012