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Anomalous-diffusion model of ionic transport in oxide glasses

Journal Article · · Physical Review, B: Condensed Matter; (United States)
; ;  [1]
  1. Department 1845, Sandia National Laboratories, Albuquerque, New Mexico 87185-0607 (United States)

The power-law frequency dependence of both the conductivity, [sigma]([omega]), and permittivity, [var epsilon]([omega]), 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 [sigma]([omega]) and [var epsilon]([omega]) and compare these with measurements performed on LiPO[sub 3] 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.

DOE Contract Number:
AC04-94AL85000
OSTI ID:
6604546
Journal Information:
Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 51:5; ISSN PRBMDO; ISSN 0163-1829
Country of Publication:
United States
Language:
English