Anomalous-diffusion approach applied to the electrical response of water

Anomalous-diffusion approach applied to the electrical response of water

E.K. Lenzi, P.R G. Fernandes, T. Petrucci, H. Mukai, and H.V. Ribeiro, PHYSICAL REVIEW E 84, 041128 (2011) PDF | DOI

We investigate the electrical response of Milli-Q deionized water by using a fractional diffusion equation of distributed order with the interfaces (i.e., the boundary conditions at the electrodes limiting the sample) governed by integrodifferential equations. We also consider that the positive and negative ions have the same mobility and that the electric potential profile across the sample satisfies Poisson’s equation. In addition, the good agreement between the experimental data and this approach evidences the presence of anomalous diffusion due to the surface effects in this system.