Universal dielectric responses

An interesting feature can be read from Figure 5-6. If the temperature is sufficiently low, a power-law behavior is found, the exponent being <1. This power-law behavior has been denoted in the literature as the universal dielectric response . It is equivalent to a nearly circular arc in the complex conductivity and impedance plane. 

Let us summarize by modeling the velocity autocorrelation function using Debye-Huckel type interactions between charged point defects in ionic crystals, one can evaluate the frequency-dependent conductivity and give an interpretation of the universal dielectric response. 

A.K. Jonscher, The Universal Dielectric Response. A Review of Data and Their New Interpretation, Chelsea Dielectric Group, Pulton Place, London, UK, 1978. 

J. R. Macdonald, "Generalizations of Universal Dielectric Response and a General Distribution-of-Activation-Energies Model for Dielectric and Conducting Systems," Journal of Applied Physics, 58 (1985) 1971-1978. 

Jacob, M. Varughese, K.T. Thomas, S., (2006). Dielectric Characteristics of Sisal-Oil Palm Hybrid Biofibre Reinforced Natural Rubber Biocomposites. Journal of Materials Science, Vol. 41, No. 17, (September 2006), ISSN 0022-2461 Jonsher, A.K., (1977). The "Universal" Dielectric Response. Nature, Vo, 267, No.5613, (June 1977), pp. 673-679, ISSN 0028-0836... 

Fig. 25.6 shows the curves of logxo as a function of frequency (g>) for some typical materials. Contrary to the plots of non-protonic materials, steps are observed between <7 and according to the presence of well-defined relaxations. This shows that the monotonic universal dielectric response is an oversimplification. In the case of CSHSO4 at room... 

Jonscher [1974,1975a,b, 1980,1983], in an extensive series of papers, working primarily in the dielectric area, independently emphasized the importance and ubiquity of constant phase response, and proposed and demonstrated the utility of three different empirical frequency response functions in IS data fitting. These three equations, termed universal dielectric response by Jonscher, were originally... 

The Universal Dielectric Response A Review of Data and their New Interpretation, Physics of Thin Films 11, 205-317. 

This was first noted by A.K. Jonscher in 1975 [17, 18]. Based on his observations, he introduced his famous power-law description, (j v) — gdc with a constant exponent p. He also coined the terms Universal Dielectric Response and Universal Dynamic Response,... 

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