Abstract
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 language | English |
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Journal | Physical Review B Condensed Matter |
Volume | 76 |
Issue number | 10 |
Pages (from-to) | 104201 |
ISSN | 0163-1829 |
DOIs | |
Publication status | Published - 2007 |
Bibliographical note
Copyright 2007 American Physical SocietyKeywords
- CHAOS
- FRACTIONAL KINETICS
- DIFFUSION
- EMPIRICAL DECAY FUNCTION
- ANOMALOUS TRANSPORT
- BEHAVIOUR
- DYNAMICS