title: The Kramers-Kronig relations for usual and anomalous Poisson-Nernst-Planck models.
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.
authors.affiliation: Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790, 87020-900 Maringá, Paraná, Brazil.
authors.forename: Luiz Roberto
authors.initials: LR
authors.lastname: Evangelista
authors.forename: Ervin Kaminski
authors.initials: EK
authors.lastname: Lenzi
authors.forename: Giovanni
authors.initials: G
authors.lastname: Barbero