Abstract
The relaxation process of hopping ionic conduction in interacting lattice gas systems has been treated analytically from first principles in order to gain understanding of the origin of the “universal dynamic response” in solid electrolytes. The derivation is based on the combination of the pair approximation of the Path Probability Method and the Bethe method. The result indicates that the relaxation motion of a single particle in a lattice gas is intrinsically non-Debye and follows the Kohlrausch-Williams-Watts relaxation behavior even without any interactions among mobile particles. This conclusion is in apparent contrast to the current view that the anomaly is created by interaction among mobile particles and their disorder. It can be shown that the appearance of the KWW effect is due to a memory effect arising from the fact that it takes time for information to propagate over a distance by hopping which has been overlooked so far. A Monte Carlo simulation of the relaxation process was made and the results support the above concept.
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