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Simple Implementations of the Cole-Cole Models

2020 2nd Novel Intelligent and Leading Emerging Sciences Conference (NILES), 2020
A novel procedure for the circuit implementation of the single and double dispersion Cole-Cole models is presented in this work. The concept is that the impedance of the whole model is approximated and implemented by appropriately configured RC networks, instead of the conventional implementation method where the approximation of each one of the ...
Stavroula Kapoulea   +2 more
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Monitoring Cole-Cole Parameters During Haemodialysis (HD)

2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2007
The investigation of the hydration process during the haemodialysis treatment sessions is very important for the development of methods for predicting the unbalanced fluid shifts and hypotension crisis hence improving the quality of the haemodialysis procedure.
Omar I, Al-Surkhi   +3 more
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Cole-Cole Broadening in Dielectric Relaxation and Strange Kinetics

Physical Review Letters, 2010
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 ...
Alexander, Puzenko   +2 more
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Robust fitting of the Cole-Cole permittivity equation

2015 XVI Workshop on Information Processing and Control (RPIC), 2015
Several problems in engineering and applied sciences require the parameters optimal determination. An example of such problems is the fitting of a Cole-Cole theoretical curve to experimental measurements of the relative permittivity in a biological media.
Francisco J. Dores Piuma   +2 more
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AN ANISOTROPIC COLE–COLE MODEL OF SEISMIC ATTENUATION

Journal of Computational Acoustics, 2002
A simple model of seismic wave attenuation combining anisotropy with anelastic effects is constructed. The anelastic response is based on the Cole–Cole relaxation function. Time-stepping finite-difference and ray-asymptotic methods of numerical solution are discussed.
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Probabilistic basis for the Cole-Cole relaxation law

Ferroelectrics, 2000
Abstract Dielectric dispersion studies of real ferroelectric crystals in the phase transition region indicate a deviation from the Debye response of pure crystals. In this paper the question of the origins of this deviation is addressed in terms of a probabilistic approach.
Karina Weron, Agnieszka Klauzer
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On the adequacy of identified Cole–Cole models

Computers & Geosciences, 2003
The Cole-Cole model has been widely used to interpret electrical geophysical data. Normally an iterative computer program is used to invert the frequency domain complex impedance data and simple error estimation is obtained from the squared difference of the measured (field) and calculated values over the full frequency range.
Xiang, J   +3 more
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Generalized Cole-Cole behavior and its rheological relevance

Rheologica Acta, 1992
Starting from an analysis of the rheological behavior of the complex modulus predicted by the Cole-Cole formalism, a generalized Cole-Cole ansatz is suggested in order to overcome the related difficulties. The corresponding rheological constitutive equation with fractional derivatives belonging to the generalized Cole-Cole respondance is stated and the
Chr. Friedrich, H. Braun
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Computation of Cole‐Cole parameters from IP data

GEOPHYSICS, 1997
We develop a process to estimate Cole‐Cole parameters from time‐domain induced polarization (IP) surveys carried out over a nonuniform earth. The recovery of parameters takes the following steps. We first divide the earth into rectangular cells and assume that the Cole‐Cole decay parameters [Formula: see text] and c constant in each cell.
null Yuval, Douglas W. Oldenburg
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Cole-Cole diagrams of ionic hopping systems

Journal of Non-Crystalline Solids, 1977
Abstract A hopping conduction mechanism is proposed for the mobile ions in evaporated silicon oxide films. The Cole-Cole diagram, calculated numerically, is identical to that of a simple Debye relaxation mechanism. The hopping conduction mechanism can also be combined with surface trapping, which gives rise to Cole-Cole diagrams similar to those ...
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