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Applications of fractional calculus to diffusion transport in clay-water system

2005/09/09 by Dean Korosak, Korosak, Dean, Bruno Cvikl +9
Physics and Astronomy · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.cond-mat/0509230

arxiv created 2005/09/09 · arxiv updated 2009/12/01

Abstract

The analysis of the low-frequency conductivity spectra of the clay-water mixtures is presented. The conductivity spectra for samples at different water content values are shown to collapse to a single master curve when appropriately rescaled. The frequency dependence of the conductivity is shown to follow the power-law with the exponent n=0,67 before reaching the frequency-independent part. It is argued that the observed conductivity dispersion is a consequence of the anomalously diffusing ions in the clay-water system. The fractional Langevin equation is then used to describe the stochastic dynamics of the single ion.

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