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Dielectric relaxation in disordered dielectric mixtures are presented byemphasizing the interfacial polarization. The obtained results coincide withand cause confusion with those of the low frequency dispersion behavior. Theconsidered systems are composed of two phases on two-dimensional square andtriangular topological networks. We use the finite element method to calculatethe effective dielectric permittivities of randomly generated structures. Thedielectric relaxation phenomena together with the dielectric permittivityvalues at constant frequencies are investigated, and significant differences ofthe square and triangular topologies are observed. The frequency dependentproperties of some of the generated structures are examined. We conclude thatthe topological disorder may lead to the normal or anomalous low frequencydispersion if the electrical properties of the phases are chosen properly, suchthat for ``slightly'' {\em reciprocal mixture}--when $\sigma_1\gg\sigma_2$, and$\epsilon_1<\epsilon_2$--normal, and while for ``extreme'' {\em reciprocalmixture}--when $\sigma_1\gg\sigma_2$, and $\epsilon_1\ll\epsilon_2$--anomalouslow frequency dispersions are obtained. Finally, comparison with experimentaldata indicates that one can obtain valuable information from simulations whenthe material properties of the constituents are not available and ofimportance.Comment: 13 pages, 7 figure

Signs of low frequency dispersions in disordered binary dielectric mixtures (fifty–fifty)