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 language | English |
|---|---|
| Pages (from-to) | 2770-2776 |
| Number of pages | 7 |
| Journal | Physical Review B |
| Volume | 51 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1995 |
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All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
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Anomalous-diffusion model of ionic transport in oxide glasses. / Sidebottom, David L.; Green, P. F.; Brow, R. K.
In: Physical Review B, Vol. 51, No. 5, 1995, p. 2770-2776.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Anomalous-diffusion model of ionic transport in oxide glasses
AU - Sidebottom, David L.
AU - Green, P. F.
AU - Brow, R. K.
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevB.51.2770
DO - 10.1103/PhysRevB.51.2770
M3 - Article
VL - 51
SP - 2770
EP - 2776
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
SN - 1098-0121
IS - 5
ER -