Evangelista LR, Lenzi EK, Barbero G. The Kramers-Kronig relations for usual and anomalous Poisson-Nernst-Planck models.
JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2013;
25:465104. [PMID:
24131984 DOI:
10.1088/0953-8984/25/46/465104]
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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 or anomalous 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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