Inhomogeneous laminar conductor model for dielectric relaxation in oxide glasses

An inhomogeneous conductor model involving laminae has been delineated. The ratio of conductivities of two successive laminae is assumed to have a sinusoidal variation with the spatial coordinate. The model has been used to calculate the dielectric modulus values as a function of frequency for two glass systems, viz., an alkali-containing silicate and V₂O ₅-P₂O₅, respectively. Theoretical values are found to be in good agreement with the experimental data. The Kohlrausch-Williams-Watts exponent β appears to be correlated with the ratio of the maximum and minimum values of the conductivity ratio between two successive layers.