Fractal-polarization correction in time domain dielectric spectroscopy

Feldman, Yuri; Nigmatullin, R. R.; Polygalov, E.; Texter, John

doi:10.1103/physreve.58.7561

Cited by 71 publications

(51 citation statements)

References 14 publications

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“…Electrode polarization has been described in the earlier literature as a series combination of frequency-dependent resistor and capacitor in series with the equivalent parallel capacitance and conductance of the sample (Schwan, 1968). More recently, it has been found that the frequency response of the electrode-electrolyte solution interface can be accurately modeled by a constant phase angle (CPA) element connected in series with the sample dielectric properties (Bao et al, 1992;Feldman et al, 1998;Raicu et al, 1998;Bordi et al, 2001;Stoneman et al, 2007). The CPA element is described by the following equation:…”

Section: Electrical Model Of the Sample-containing Measuring Cellmentioning

confidence: 99%

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Dielectric properties of glucose in bulk aqueous solutions: Influence of electrode polarization and modeling

Yoon

2011

Biosensors and Bioelectronics

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Section: Electrical Model Of the Sample-containing Measuring Cellmentioning

confidence: 99%

“…In fact, it appears that the four-electrode system may also suffer from other undesired problems (Grimnes and Martinsen, 2007). Thus, further steps generally must be taken in order to account for the influence of EP on the measured spectra (Feldman et al, 1998;Raicu et al, 1998;Bordi et al, 2001;Stoneman et al, 2007).…”

Section: Introductionmentioning

confidence: 99%

Dielectric properties of glucose in bulk aqueous solutions: Influence of electrode polarization and modeling

Yoon

2011

Biosensors and Bioelectronics

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“…The CPE is often employed to account for EP in ionic conductors [6,7,10,35,39,46]. Its admittance is defined by Y * = A(iν) n with an exponent n < 1 and the prefactor A.…”

Section: Equivalent-circuit Models For Electrode Polarizationmentioning

confidence: 99%

“…In such cases, for a straightforward modeling of EP effects, simple equivalent circuits are usually employed, which are assumed to be connected in series to the intrinsic bulk contribution of the sample material. The most common ones are a parallel RC circuit [16,19,22,23,44,45] or a so-called constant phase element (CPE) [4,6,7,10,35,39,46], the latter being mainly applied for modeling ionic conductors. Both models work relatively well if only the onset of EP effects is seen, arising close to the low-frequency boundary of the covered frequency range.…”

Section: Introductionmentioning

confidence: 99%

Electrode polarization effects in broadband dielectric spectroscopy

et al. 2011

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In the present work, we provide broadband dielectric spectra showing strong electrode polarization effects for various materials, belonging to very different material classes. This includes both ionic and electronic conductors as, e.g., salt solutions, ionic liquids, human blood, and colossal-dielectricconstant materials. These data are intended to provide a broad data base enabling a critical test of the validity of phenomenological and microscopic models for electrode polarization. In the present work, the results are analyzed using a simple phenomenological equivalent-circuit description, involving a distributed parallel RC circuit element for the modeling of the weakly conducting regions close to the electrodes. Excellent fits of the experimental data are achieved in this way, demonstrating the universal applicability of this approach. In the investigated ionically conducting materials, we find the universal appearance of a second dispersion region due to electrode polarization, which is only revealed if measuring down to sufficiently low frequencies. This indicates the presence of a second charge-transport process in ionic conductors with blocking electrodes.

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“…As shown recently, dielectric relaxation is very revealing of complex media, such as percolation structures and fractals [38,39]. As a special model which leads to convenient, simple forms we focus here on the dielectric response of GGSs, which possess dipole moments directed along their bonds (type A in the usual nomenclature) [40][41][42].…”

Section: Non-scaling Behavior: Measurable Expressionsmentioning

confidence: 99%

Anomalous Diffusion and Relaxation

Coffey¹,

Kalmykov²

2017

The Langevin Equation

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Scaling, namely the algebraic (power-law) dependence of measured properties on frequency or time is of wide-spread occurrence in polymeric systems. In this work we highlight its connection to fractional calculus. As examples of systems that obey scaling, we discuss here linear and fractal generalized Gaussian structures. On the other hand, non-scaling behavior is also found in many realistic situations. In the second part of the paper we consider as example of nonscaling behavior the relaxation of small-world networks. Detailed measurements, such as provided by dielectric spectroscopy or mechanical relaxation can help to determine the basic, mesoscopic properties of the substances under investigation. Ó

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Fractal-polarization correction in time domain dielectric spectroscopy

Cited by 71 publications

References 14 publications

Dielectric properties of glucose in bulk aqueous solutions: Influence of electrode polarization and modeling

Dielectric properties of glucose in bulk aqueous solutions: Influence of electrode polarization and modeling

Electrode polarization effects in broadband dielectric spectroscopy

Anomalous Diffusion and Relaxation

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