Are the low temperature-low frequency and high temperature-high frequency ac conductivity of glasses the same phenomenon?

Abstract

Abstract AC conductivity (σ) of 61SiO 2 ·35Li 2 O·3Al 2 O 3 ·1P 2 O 5 glass is obtained in the frequency ( f ) range from 10 Hz to 100 kHz and temperature ( T ) from 4 to 300 K, and also in the frequency range from 100 MHz to 3 GHz at room temperature. The conductivity behaviors with slope ⋍ 1 of a log(σ) versus log( f ) plot in both low temperature-low frequency and high temperature-high frequency regions can be considered as the same phenomenon if one follows the empirical relationship σ = B ′ exp( αT ), where B ′ and α are experimentally determined constants. However, the asymmetric double-well potential (ADWP) model which has been successfully used for describing the low temperature-low frequency conductivity cannot explain the high temperature-high frequency conductivity satisfactorily without further modification.