Friday, July 5, 2013

1307.1341 (Luiz Roberto Evangelista et al.)

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

Luiz Roberto Evangelista, Ervin Kaminski Lenzi, Giovanni Barbero
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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