Frequency Exponent of Ionic Conductivity in One-Dimensional Random Lattices
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概要
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The temperature dependent frequency exponent s′ in the ionic conductivity Re σ(ω)=σ(0)+A′ωs′ is investigated by the relaxation mode theory in one-dimensional random lattices with exponential, uniform and normal distributions of activation energies: For the exponential distribution, Bernasconi et al.. analytically obtained s′≈sB=(1-T/Tm)/(1+T/Tm) in the effective medium approximation within the range T<Tm. The present theoretical investigation concludes that (e1) the obtained result s′ is reproduced by sB approximately for T<0.5Tm, and (e2) the exponential distribution is not essential to obtain s′≈sB: s′ can be approximated by sB better in the case of uniform distribution.
- 2001-09-15
著者
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Abe Toshinori
Faculty Of Agriculture Yamagata University
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Ishii Tadao
Faculty Of Electrical Engineering Osaka University
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Abe Toshinori
Faculty of Engineering, Okayama University, Okayama 700-8530
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Ishii Tadao
Faculty of Engineering, Okayama University, Okayama 700-8530
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