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

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dc.creatorKorosak, Dean
dc.creatorCvikl, Bruno
dc.creatorKramer, Janja
dc.creatorJecl, Renata
dc.creatorPrapotnik, Anita
dc.creatorVeselic, Miran
dc.date2005-09-09
dc.date.accessioned2026-07-07T03:06:34Z
dc.date.available2026-07-07T03:06:34Z
dc.descriptionThe 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.
dc.identifierhttps://arxiv.org/abs/cond-mat/0509230
dc.identifierhttp://arxiv.org/abs/cond-mat/0509230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26854
dc.subjectSoft Condensed Matter
dc.titleApplications of fractional calculus to diffusion transport in clay-water system
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