October 13th, 2017

Fractional Calculus in Electrical Impedance Spectroscopy: Poisson-Nernst-Planck model and Extensions

We review some analytical results obtained in the context of the fractional calculus for the electrical spectroscopy impedance, a technique […]

May 14th, 2017

Ion Motion in Electrolytic Cells: Anomalous Diffusion Evidences

In this study, we argue that ion motion in electrolytic cells containing Milli-Q water, weak electrolytes, or liquid crystals may […]

January 9th, 2017

Asymptotic behaviors of the Poisson-Nernst-Planck model, generalizations and best adjust of experimental data

We analyze the asymptotic behavior of the impedance (or immittance) spectroscopy response of an electrolytic cell in a finite-length situation […]

April 4th, 2015

Electrolytic cell containing different groups of ions with anomalous diffusion approach

The electrical response of an electrolytic cell containing more than one group of ions is investigated under the fractional approach […]

July 25th, 2014

Fractional Diffusion Equations and Equivalent Circuits Applied to Ionic Solutions

We investigate dilute solutions of different salts (KClO3, K2SO4, and CdCl2H2O) dissolved in Milli-Q deionized water in the context of […]

July 25th, 2014

Anomalous Diffusion and Electrical Response of Ionic Solutions

We analyze the electrical response obtained in the framework of a model in which the diffusion of mobile ions in […]

July 25th, 2014

Anomalous-diffusion approach applied to the electrical response of water

We investigate the electrical response of Milli-Q deionized water by using a fractional diffusion equation of distributed order with the […]