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arXiv · 1307.1341

The Kramers-Kronig relations for usual and anomalous Poisson-Nernst-Planck models

Luiz Roberto Evangelista·Ervin Kaminski Lenzi·Giovanni Barbero
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Abstract

The consistency of the frequency response predicted by a class of electrochemical impedance expressions is analytically checked by invoking the Kramers-Kronig (KK) relations. These expressions are obtained in the context of Poisson-Nernst-Planck usual (PNP) or anomalous (PNPA) diffusional models that satisfy Poisson's equation in a finite-length situation. The theoretical results, besides being successful in interpreting experimental data, are also shown to obey the KK relations when these relations are modified accordingly

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Luiz Roberto Evangelista, Ervin Kaminski Lenzi, Giovanni Barbero. 2013-07-04. The Kramers-Kronig relations for usual and anomalous Poisson-Nernst-Planck models. https://doi.org/10.1088/0953-8984%2F25%2F46%2F465104

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