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The 'fractional' kinetic equations and general theory of dielectric relaxation

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dc.contributor.author Nigmatullin R.
dc.date.accessioned 2018-09-17T22:00:45Z
dc.date.available 2018-09-17T22:00:45Z
dc.date.issued 2005
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/135721
dc.description.abstract Based on the Mori-Zwanzig formalism it becomes possible to suggest a general decoupling procedure, which reduces a wide set of various micromotions distributed over a self-similar structure to a few collective/reduced motions describing the relaxation/exchange behavior of a complex system in the mesoscale region. The frequency dependence of the reduced collective motion contains real and pair of complex-conjugate power-law exponents in the frequency domain and explains naturally the "universal response" (UR) phenomenon discovered by A. Jonscher in a wide class of heterogeneous materials. This strict mathematical result allows in developing a consistent and general theory of dielectric relaxation that can describe wide set of dielectric spectroscopy (DS) data measured in some frequency/temperature range in many heterogeneous materials. Based on this result it becomes possible also to suggest a new set of two-pole elements, which generalizes the conventional RLC-elements and can constitute the basis of new theory of the linear electric circuits. Copyright © 2005 by ASME.
dc.subject Fractional kinetic equations with non-integer real and complex-conjugate exponents
dc.subject General theory of dielectric relaxation of non-crystalline materials
dc.subject The generalized reind/recap element
dc.title The 'fractional' kinetic equations and general theory of dielectric relaxation
dc.type Conference Paper
dc.relation.ispartofseries-volume 6 B
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 1513
dc.source.id SCOPUS-2005-6-SID33244491704

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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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