English

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

Other Condensed Matter 2015-06-16 v1

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

Keywords

Cite

@article{arxiv.1307.1341,
  title  = {The Kramers-Kronig relations for usual and anomalous Poisson-Nernst-Planck models},
  author = {Luiz Roberto Evangelista and Ervin Kaminski Lenzi and Giovanni Barbero},
  journal= {arXiv preprint arXiv:1307.1341},
  year   = {2015}
}

Comments

11 pages, 2 Figures (1a and 1b)