Stretched-exponential decay functions from a self-consistent model of dielectric relaxation

Details Stretched-exponential decay functions from a self-consistent model of dielectric relaxation Stretched-exponential decay functions from a self-consistent model of dielectric relaxation

2007-07-26

arxiv.org/abs/0707.3957v1

Physics

Condensed Matter

Materials Science

17 pages

Scientific paper

10.1016/j.physleta.2007.11.025

There are many materials whose dielectric properties are described by a stretched exponential, the so-called Kohlrausch-Williams-Watts (KWW) relaxation function. Its physical origin and statistical-mechanical foundation have been a matter of debate in the literature. In this paper we suggest a model of dielectric relaxation, which naturally leads to a stretched exponential decay function. Some essential characteristics of the underlying charge conduction mechanisms are considered. A kinetic description of the relaxation and charge transport processes is proposed in terms of equations with time-fractional derivatives.

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