Nonlinear Phenomena in Complex Systems, 2006, Vol.9, No.3, pp.265-268

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2006, Vol.9, No.3, pp.265-268

Applications of Fractional Calculus in the Analysis of Dielectric Response of Porous Media.
Dean Korosak

The measured conductivity of the clay-water samples at different water contents show scaling behavior in the low frequency limit with the power-law frequency dependence. The attempt to explain the experimentally observed features is presented considering the stochastic motion of the ion near the particle-fluid interface described by the fractional Langevin equation.
Key words: dielectric spectroscopy, porous media, conductivity, fractional dynamics

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