Hyperbolic subdiffusive impedance
Abstract
We use the hyperbolic subdiffusion equation with fractional time derivatives (the generalized Cattaneo equation) to study the transport process of electrolytes in media where subdiffusion occurs. In this model the flux is delayed in a non-zero time with respect to the concentration gradient. In particular, we obtain the formula of electrochemical subdiffusive impedance of a spatially limited sample in the limit of large and of small pulsation of the electric field. The boundary condition at the external wall of the sample are taken in the general form as a linear combination of subdiffusive flux and concentration of the transported particles. We also discuss the influence of the equation parameters (the subdiffusion parameter and the delay time) on the Nyquist impedance plots.
Cite
@article{arxiv.0807.2003,
title = {Hyperbolic subdiffusive impedance},
author = {Tadeusz Kosztolowicz and Katarzyna D. Lewandowska},
journal= {arXiv preprint arXiv:0807.2003},
year = {2009}
}
Comments
10 pages, 5 figures