On the determination of phenomenological coefficients for dielectric materials

We show a method to express unknown phenomenological coefficients as functions of experimentally determinable quantities related to the dielectric re- sponse of materials. The equation proposed by Kluitenberg-Ciancio in [1]-[5] for dielectric relaxation is considered in one-dimensional form. Assuming a si- nusoidal induction vector D (extensive variable = cause), the electric field E (intensive variable = effect) inside the system, which depends on unknown phe- nomenological coefficients, has been obtained by integration. This solution is expressed by phenomenological coefficients which are functions of experimen- tally determinable quantities. Moreover, a condition for the applicability of the theory is determined. Finally we carry out dielectric measurements on PMMA and PVC at different frequencies and fixed temperature in order to obtain the phenomenological coefficients as functions of the frequency. These data are found to be physically consistent.