Non-Debye Behavior of Ion-Hopping Conduction

Abstract

On the basis of the relaxation mode (relaxon) theory, a relaxation function which expresses the time dependence of hopping conduction in a many-ion system on a regular lattice and with a screened Coulomb interaction, is analytically and numerically discussed. It is shown that the hyperbolic and stretched-exponential relaxations determine the non-Debye behavior in the low-temperature, short-time region and in the high-temperature, long-time region, respectively.