Stretched exponential relaxation and ac universality in disordered dielectrics

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Stretched exponential relaxation and ac universality in disordered dielectrics

 

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Title: Stretched exponential relaxation and ac universality in disordered dielectrics
Author: Milovanov, Alexander V.; Rasmussen, Jens Juul; Rypdal, Kristoffer
Date: 30-May-2007
Type: Working paper; Arbeidsnotat
Abstract: This paper is concerned with the connection between the properties of dielectric relaxation and ac (alternating-current) conduction in disordered dielectrics. The discussion is divided between the classical linear-response theory and a self-consistent dynamical modeling. The key issues are, stretched exponential character of dielectric relaxation, power-law power spectral density, and anomalous dependence of ac conduction coefficient on frequency. We propose a self-consistent model of dielectric relaxation, in which the relaxations are described by a stretched exponential decay function. Mathematically, our study refers to the expanding area of fractional calculus and we propose a systematic derivation of the fractional relaxation and fractional diffusion equations from the property of ac universality.
URI: http://hdl.handle.net/10037/1856


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