Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells
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 Pois...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Physchem |
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| Online Access: | https://www.mdpi.com/2673-7167/2/2/12 |
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| author | Antonio M. Scarfone Giovanni Barbero Luiz R. Evangelista Ervin K. Lenzi |
| author_facet | Antonio M. Scarfone Giovanni Barbero Luiz R. Evangelista Ervin K. Lenzi |
| author_sort | Antonio M. Scarfone |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T22:43:23Z |
| format | Article |
| id | doaj.art-3c1e68e6f05e4da3a99895c44f646b9c |
| institution | Directory Open Access Journal |
| issn | 2673-7167 |
| language | English |
| last_indexed | 2024-03-09T22:43:23Z |
| publishDate | 2022-05-01 |
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| record_format | Article |
| series | Physchem |
| spelling | doaj.art-3c1e68e6f05e4da3a99895c44f646b9c2023-11-23T18:33:37ZengMDPI AGPhyschem2673-71672022-05-012216317810.3390/physchem2020012Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic CellsAntonio M. Scarfone0Giovanni Barbero1Luiz R. Evangelista2Ervin K. Lenzi3Istituto dei Sistemi Complessi del Consiglio Nazionale delle Ricerche (ISC-CNR) c/o Dipartimento di Scienza Applicata del Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyIstituto dei Sistemi Complessi del Consiglio Nazionale delle Ricerche (ISC-CNR) c/o Dipartimento di Scienza Applicata del Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyIstituto dei Sistemi Complessi del Consiglio Nazionale delle Ricerche (ISC-CNR) c/o Dipartimento di Scienza Applicata del Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyDepartamento de Física, Universidade Estadual de Ponta Grossa, Avenida Carlos Cavalcanti, 4748, Ponta Grossa 87030-900, Paraná, BrazilWe 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.https://www.mdpi.com/2673-7167/2/2/12impedance spectroscopyPoisson–Nernst–Planck Modelfractional diffusion |
| spellingShingle | Antonio M. Scarfone Giovanni Barbero Luiz R. Evangelista Ervin K. Lenzi Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells Physchem impedance spectroscopy Poisson–Nernst–Planck Model fractional diffusion |
| title | Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells |
| title_full | Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells |
| title_fullStr | Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells |
| title_full_unstemmed | Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells |
| title_short | Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells |
| title_sort | anomalous diffusion and surface effects on the electric response of electrolytic cells |
| topic | impedance spectroscopy Poisson–Nernst–Planck Model fractional diffusion |
| url | https://www.mdpi.com/2673-7167/2/2/12 |
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