Journal article · Preprint article
Stretched exponential relaxation and ac universality in disordered dielectrics
Plasma Physics and Technology, Optics and Plasma Research Department, Risø National Laboratory for Sustainable Energy, Technical University of Denmark1
Plasma Physics and Technology Programme, Risø National Laboratory for Sustainable Energy, Technical University of Denmark2
Risø National Laboratory for Sustainable Energy, Technical University of Denmark3
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.
Language: | English |
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Year: | 2007 |
Pages: | 8 |
ISSN: | 10953795 , 1550235x , 01631829 and 10980121 |
Types: | Journal article and Preprint article |
DOI: | 10.1103/PhysRevB.76.104201 |
ORCIDs: | Juul Rasmussen, Jens |
ANOMALOUS TRANSPORT BEHAVIOUR CHAOS DIFFUSION DYNAMICS EMPIRICAL DECAY FUNCTION Energiteknologier på vej FRACTIONAL KINETICS