Hyperbolic subdiffusive impedance

Details Hyperbolic subdiffusive impedance Hyperbolic subdiffusive impedance

2008-07-12

arxiv.org/abs/0807.2003v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 5 figures

Scientific paper

10.1088/1751-8113/42/5/055004

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.

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