Quasi-Debye response of ion-hopping conduction at lowest frequencies

被引:31
作者
Ishii, T [1 ]
Abe, T [1 ]
Shirai, H [1 ]
机构
[1] Okayama Univ, Fac Engn, Dept Mech Engn, Okayama 7008530, Japan
关键词
quasi-Debye response; non-Debye relaxation; relaxation modes; universality of frequency exponents; anomalous conductivity;
D O I
10.1016/S0038-1098(03)00556-8
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
On the basis of the relaxation mode theory, quasi-Debye response in the dynamic conductivity by hopping ions is theoretically investigated in three-dimensional random lattices with a uniform distribution of activation energies. It is shown at lowest frequencies that the dynamic conductivity is approximately given by σ(ω) ∼ σ(0) + A″ω s″, s″ = 2 - n, where n is a non-integer exponent originated from the mode diffusion length and density of states. The numerical analyses give rise to some values of s″ < 2, for example s″ ∼ 1.5, which behaves as s″ → 2 with increasing temperature. © 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:737 / 741
页数:5
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