Ac and dc conductivity correlation: the coefficient of Barton--Nakajima--Namikawa relation

Details Ac and dc conductivity correlation: the coefficient of Barton--Nakajima--Namikawa relation Ac and dc conductivity correlation: the coefficient of Barton--Nakajima--Namikawa relation

2011-11-25

arxiv.org/abs/1111.5909v1

Physics

Condensed Matter

Materials Science

11 pages, 2 eps figures

Scientific paper

It has been some time since an empirical relation, which correlates dc with ac conductivity and contains a loosely defined coefficient thought to be of order one, was introduced by Barton, Nakajima and Namikawa. In this work, we derived this relation assuming that the conductive response consists of a superposition of dc conductivity and an ac conductivity term which materialized through a Havriliak--Negami dielectric function. The coefficient was found to depend on the Havriliak--Negami shape parameters as well as on the ratio of two characteristic time scales of ions motion which are related to ionic polarization mechanism and the onset of ac conductivity.

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