Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/82348
Type: Artigo de periódico
Title: Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics
Author: de Oliveira, EC
Mainardi, F
Vaz, J
Abstract: We revisit the Mittag-Leffler functions of a real variable t, with one, two and three order-parameters {alpha, beta, gamma}, as far as their Laplace transform pairs and complete monotonicity properties are concerned. These functions, subjected to the requirement to be completely monotone for t > 0, are shown to be suitable models for non-Debye relaxation phenomena in dielectrics including as particular cases the classical models referred to as Cole-Cole, Davidson-Cole and Havriliak-Negami. We show 3D plots of the relaxations functions and of the corresponding spectral distributions, keeping fixed one of the three order-parameters.
Country: Alemanha
Editor: Springer Heidelberg
Rights: fechado
Identifier DOI: 10.1140/epjst/e2011-01388-0
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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