Anomalous-diffusion model of ionic transport in oxide glasses

D. L. Sidebottom, P. F. Green, R. K. Brow

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Abstract

The power-law frequency dependence of both the conductivity, (), and permittivity, (), of ion-conducting materials suggests that self-similar or scale-invariant behavior influences the transport of ions at high frequencies. Using an anomalous-diffusion model, we derive relevant power-law expressions for () and () and compare these with measurements performed on LiPO3 glass. Superior fits to the measured data are obtained compared to the commonly used Kohlrausch-Williams-Watts (KWW) description of the electrical modulus, most particularly in the notorious high-frequency regime. Evaluation of our results in terms of an anomalous-diffusion model suggests the dominance of interaction-based constraints to diffusion.

Original languageEnglish (US)
Pages (from-to)2770-2776
Number of pages7
JournalPhysical Review B
Volume51
Issue number5
DOIs
StatePublished - Jan 1 1995

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All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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