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dc.contributor.authorRasmussen, Jens Juul
dc.contributor.authorMilovanov, Alexander V.
dc.contributor.authorRypdal, Kristoffer
dc.date.accessioned2009-05-18T11:05:39Z
dc.date.available2009-05-18T11:05:39Z
dc.date.issued2007-05-30
dc.description.abstractThis paper is concerned with the connection between the properties of dielectric relaxation and ac (alternating-current) 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.en
dc.format.extent488064 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/10037/1856
dc.identifier.urnURN:NBN:no-uit_munin_1617
dc.language.isoengen
dc.rights.accessRightsopenAccess
dc.subjectVDP::Mathematics and natural science: 400::Physics: 430en
dc.subjectDisordered Systems and Neural Networks (cond-mat.dis-nn)en
dc.subjectStatistical Mechanics (cond-mat.stat-mech)en
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Statistics: 412en
dc.titleStretched exponential relaxation and ac universality in disordered dielectricsen
dc.typeWorking paperen
dc.typeArbeidsnotaten


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