Anomalous dielectric relaxation of inhomogeneous media with chaotic structure

Authors
Novikov, VV Wojciechowski, KW Privalko, VP
Citation
Vv. Novikov et al., Anomalous dielectric relaxation of inhomogeneous media with chaotic structure, J PHYS-COND, 12(22), 2000, pp. 4869-4879
Citations number
40
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
JOURNAL OF PHYSICS-CONDENSED MATTER
ISSN journal
09538984 → ACNP
Volume
12
Issue
22
Year of publication
2000
Pages
4869 - 4879
Database
ISI
SICI code
0953-8984(20000605)12:22<4869:ADROIM>2.0.ZU;2-4
Abstract
The analogue of a Taylor series for fractal functions was derived by treatm ent of anomalous dielectric relaxation in inhomogeneous media with chaotic structure within the frame of the fractional integro-differential calculus technique. Analysis of a classical problem of polarization of an inhomogene ous medium permitted us to establish the relationship between anomalous rel axation and dimensionality of a temporal fractal ensemble which characteriz es a non-equilibrium state of a medium.