Anomalous-diffusion model of ionic transport in oxide glasses
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Authors
Sidebottom, David L.
Green, P. F.
Brow, R. K.
Issue Date
1995
Volume
51
Issue
5
Type
Journal Article
Language
Keywords
Alternative Title
Abstract
The power-law frequency dependence of both the conductivity, σ(ω), and permittivity, ɛ(ω), 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 σ(ω) and ɛ(ω) 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.
Description
Citation
Sidebottom, D. L., Green, P. F., & Brow, R. K. (1995). Anomalous-diffusion model of ionic transport in oxide glasses. Physical Review B, 51(5), 2770-2776.
Publisher
American Physical Society
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Volume
Issue
PubMed ID
DOI
Identifier
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ISSN
1098-0121
0163-1829
0163-1829