Stretched exponential relaxation and ac universality in disordered dielectrics

Publication: Research - peer-reviewJournal article – Annual report year: 2007

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This paper is concerned with the connection between the properties of dielectric relaxation and alternating-current (ac) 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.
Original languageEnglish
JournalPhysical Review B (Condensed Matter and Materials Physics)
Publication date2007
Volume76
Journal number10
Pages104201
ISSN1098-0121
DOIs
StatePublished

Bibliographical note

Copyright 2007 American Physical Society

CitationsWeb of Science® Times Cited: 7

Keywords

  • CHAOS, FRACTIONAL KINETICS, DIFFUSION, EMPIRICAL DECAY FUNCTION, ANOMALOUS TRANSPORT, BEHAVIOUR, DYNAMICS
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