Electrical properties of 4×4 binary dielectric mixtures

Disordered composite structures deserve attention because of their easier implementations for specific applications, however, complexity in modeling procedures, i.e., topological considerations and interactions between constituents, are drawbacks. In this paper, we consider a simple 4×4 crossword-like binary mixture geometry and calculate electrical properties, e.g., ohmic conductivity, dielectric permittivity and dielectric strength, of all the possible mixture combinations of the generated structures. By using the obtained results different topological arrangements, such as, structures with one of the phases non-percolating, percolating and corner-percolating, can be distinguished. We report that the non-percolating and percolating geometries can be identified by the correlation between the dielectric strength and the complex dielectric permittivity which includes conductivity and permittivity information of a medium. Finally, comparison of electrical properties of the generated disordered structures to Wiener and Hashin-Strikmann bounds has shown the invalidity of the latter bound in the percolating region.