Signs of low frequency dispersions in disordered binary dielectric mixtures (50-50)

TL;DR

This study investigates low frequency dispersions in disordered binary dielectric mixtures, highlighting how topological disorder and phase properties influence dielectric relaxation and dispersion behaviors through finite element simulations.

Contribution

It demonstrates the impact of topological disorder and phase properties on dielectric dispersion, providing insights through finite element modeling of 2D disordered mixtures.

Findings

Topological disorder can induce normal or anomalous low frequency dispersion.

Differences observed between square and triangular network topologies.

Simulation results align with experimental data, aiding material property estimation.

Abstract

Dielectric relaxation in disordered dielectric mixtures are presented by emphasizing the interfacial polarization. The obtained results coincide with and cause confusion with those of the low frequency dispersion behavior. The considered systems are composed of two phases on two-dimensional square and triangular topological networks. We use the finite element method to calculate the effective dielectric permittivities of randomly generated structures. The dielectric relaxation phenomena together with the dielectric permittivity values at constant frequencies are investigated, and significant differences of the square and triangular topologies are observed. The frequency dependent properties of some of the generated structures are examined. We conclude that the topological disorder may lead to the normal or anomalous low frequency dispersion if the electrical properties of the phases are chosen properly, such that for ``slightly'' {\em reciprocal mixture}--when $\sigma_1\gg\sigma_2$, and $\epsilon_1<\epsilon_2$--normal, and while for ``extreme'' {\em reciprocal mixture}--when $\sigma_1\gg\sigma_2$, and $\epsilon_1\ll\epsilon_2$--anomalous low frequency dispersions are obtained. Finally, comparison with experimental data indicates that one can obtain valuable information from simulations when the material properties of the constituents are not available and of importance.