2010
DOI: 10.1103/physrevlett.105.037601
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Cole-Cole Broadening in Dielectric Relaxation and Strange Kinetics

Abstract: We present a fresh appraisal of the Cole-Cole (CC) description of dielectric relaxation. While the approach is phenomenological, it demonstrates a fundamental connection between the parameters of the CC dispersion. Based on the fractal nature of the time set representing the interaction of the relaxing dipole with its encompassing matrix, and the Kirkwood-Froehlich correlation factor, a new 3D phase space linking together the kinetic and structural properties is proposed. The evolution of the relaxation proces… Show more

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Cited by 70 publications
(59 citation statements)
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“…In the dimensionless time interval ξ = τ /τ c an average number N τ of discrete interactions occurs, which can be described by a recursive fractal model, 7 yielding…”
Section: Theoretical Backgroundmentioning
confidence: 99%
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“…In the dimensionless time interval ξ = τ /τ c an average number N τ of discrete interactions occurs, which can be described by a recursive fractal model, 7 yielding…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…As an initial validation of the approach, CC data for two porous silica glasses have been evaluated. 7 In the first part of this paper, results for aqueous solutions of D- many life processes 8,9 and because the hydration properties of carbohydrates are essential for their structural and functional properties. 10…”
Section: Introductionmentioning
confidence: 99%
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“…We have used it here because its flexibility allows us to make a circuit model of the data without any preconceived assumptions regarding the specific form of relaxation peak function. In recent years the power law exponents of the Cole-Cole and Havriliak-Negami functions have received physical interpretation related to a self-similar (fractal) hierarchy of relaxation times associated with correlated cooperative motions of a dipole and its environment [10,11]. The reader is referred to [12] and references therein for further detail.…”
Section: Response Functionsmentioning
confidence: 99%
“…Udo et al [225] and Alexander et al [224] have provided a physical interpretation of CC behaviour in a framework of complex system theory. They propose that CC behaviour can be expected when relaxation times corresponding to the motion of electric dipoles interacting with their surrounding matrices possess fractal nature.…”
Section: Loss Peak Behaviourmentioning
confidence: 99%