Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/76054
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dc.contributor.authorMedina, J. S.en_US
dc.contributor.authorProsmiti, R.en_US
dc.contributor.authorVillarreal, P.en_US
dc.contributor.authorDelgado-Barrio, G.en_US
dc.contributor.authorAlemán, J. V.en_US
dc.date.accessioned2020-11-26T12:20:42Z-
dc.date.available2020-11-26T12:20:42Z-
dc.date.issued2011en_US
dc.identifier.issn1539-3755en_US
dc.identifier.otherWoS-
dc.identifier.urihttp://hdl.handle.net/10553/76054-
dc.description.abstractAn approximation to the Fourier transform (FT) of the Kohlrausch function (stretched exponential) with shape parameter 0 < beta <= 1 is presented by using Havriliak-Negami-like functions. Mathematical expressions to fit their parameters alpha, gamma, and tau, as functions of beta (0 < beta <= 1 and 1 < beta < 2) are given, which allows a quick identification in the frequency domain of the corresponding shape factor beta. Reconstruction via fast Fourier transform of frequency approximants to time domain are shown as good substitutes in short times though biased in long ones (increasing discrepancies as beta -> 1). The method is proposed as a template to commute time and frequency domains when analyzing complex data. Such a strategy facilitates intensive algorithmic search of parameters while adjusting the data of one or several Kohlrausch-Williams-Watts relaxations.en_US
dc.languageengen_US
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen_US
dc.sourcePhysical Review E [ISSN 1539-3755], v. 84 (6), 066703, (Diciembre 2011)en_US
dc.subject23 Químicaen_US
dc.subject.otherDielectric Relaxation Behaviouren_US
dc.subject.otherEmpirical Decay Functionen_US
dc.subject.otherWilliams-Watts Functionen_US
dc.subject.otherUnderlying Distributionsen_US
dc.subject.otherMathematical Functionsen_US
dc.subject.otherLuminescence Decaysen_US
dc.subject.otherSpectraen_US
dc.subject.otherTimeen_US
dc.subject.otherDynamicsen_US
dc.subject.otherModelen_US
dc.titleFrequency domain description of Kohlrausch response through a pair of Havriliak-Negami-type functions: An analysis of functional proximityen_US
dc.typeinfo:eu-repo/semantics/Articleen_US
dc.typeArticleen_US
dc.identifier.doi10.1103/PhysRevE.84.066703en_US
dc.identifier.isi000298674000003-
dc.identifier.issue6-
dc.relation.volume84en_US
dc.investigacionCienciasen_US
dc.type2Artículoen_US
dc.contributor.daisngid2998272-
dc.contributor.daisngid304198-
dc.contributor.daisngid98218-
dc.contributor.daisngid97108-
dc.contributor.daisngid180019-
dc.description.notasPACS number(s): 07.05.Kf, 02.30.Gp, 61.20.Lc, 02.30.Uuen_US
dc.description.numberofpages15en_US
dc.utils.revisionen_US
dc.contributor.wosstandardWOS:Medina, JS-
dc.contributor.wosstandardWOS:Prosmiti, R-
dc.contributor.wosstandardWOS:Villarreal, P-
dc.contributor.wosstandardWOS:Delgado-Barrio, G-
dc.contributor.wosstandardWOS:Aleman, JV-
dc.date.coverdateDiciembre 2011en_US
dc.identifier.ulpgcen_US
dc.description.jcr2,255
dc.description.jcrqQ1
item.fulltextCon texto completo-
item.grantfulltextopen-
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