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 […]

November 10th, 2016

Anomalous diffusion and transport in heterogeneous systems separated by a membrane

Diffusion of particles in a heterogeneous system separated by a semipermeable membrane is investigated. The particle dynamics is governed by […]

March 24th, 2016

Transient superdiffusion and long-range correlations in the motility patterns of trypanosomatid flagellate protozoa

We report on a diffusive analysis of the motion of flagellate protozoa species. These parasites are the etiological agents of […]

February 14th, 2016

Fractional diffusion equations coupled by reaction terms

We investigate the behavior for a set of fractional reaction–diffusion equations that extend the usual ones by the presence of […]

September 3rd, 2015

Solutions for a sorption process governed by a fractional diffusion equation

We investigate a sorption process where one substance spreads out through another having possibility of chemical reaction between them. So […]

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 […]

January 24th, 2015

Unusual Diffusing Regimes Caused by Different Adsorbing Surfaces

A confined liquid with dispersed neutral particles is theoretically studied when the limiting surfaces present different dynamics for the adsorption–desorption […]

August 11th, 2014

Investigating the interplay between mechanisms of anomalous diffusion via fractional Brownian walks on a comb-like structure

The comb model is a simplified description for anomalous diffusion under geometric constraints. It represents particles spreading out in a […]

July 25th, 2014

Fractional diffusion equation, boundary conditions and surface effects

We investigate a system governed by a fractional diffusion equation with an integro-differential boundary condition on the surface. This condition […]