Показать сокращенную информацию
dc.contributor.author | Khamzin A. | |
dc.contributor.author | Nigmatullin R. | |
dc.contributor.author | Popov I. | |
dc.date.accessioned | 2018-09-18T20:09:18Z | |
dc.date.available | 2018-09-18T20:09:18Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 0378-4371 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/137057 | |
dc.description.abstract | A model of the self-similar process of relaxation is given, and a method of derivation of the kinetic equations for the total polarization based on the ideas of fractional kinetics is suggested. The derived kinetic equations contain integro-differential operators having non-integer order. They lead to the Cole-Cole expression for the complex dielectric permittivity. It is shown rigorously that the power-law exponent α in the Cole-Cole expression coincides with the dimension of the mixed space-temporal fractal ensemble. If the discrete scale invariance for the temporal-space structure of the dielectric medium considered becomes important, then the expression for the complex dielectric permittivity contains log-periodic corrections (oscillations) and, hence, it generalizes the conventional Cole-Cole expression. The corrections obtained in this model suggest another way of interpretation and analysis of dielectric spectra for different complex materials. © 2012 Elsevier B.V. All rights reserved. | |
dc.relation.ispartofseries | Physica A: Statistical Mechanics and its Applications | |
dc.subject | Cole-Cole expression | |
dc.subject | Dielectric permittivity | |
dc.subject | Fractals | |
dc.subject | Fractional derivation | |
dc.subject | Log-periodic oscillations | |
dc.title | Log-periodic corrections to the Cole-Cole expression in dielectric relaxation | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 1 | |
dc.relation.ispartofseries-volume | 392 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 136 | |
dc.source.id | SCOPUS03784371-2013-392-1-SID84867328841 |