A new proposal on mixing rule of the dielectric constant of mixture

We proposed a new equation for predicting the apparent dielectric constant of a mixture of two materials in the Journal of American Ceramic Society last year. This equation was derived using the Monte Carlo and finite element methods with the assumption of a non aspect and randomly dispersed mixture of two different materials. We found that, in the high concentration range of the higher dielectric constant material, the calculated value of the dielectric constant showed a parallel model-like tendency. On the contrary, in the low concentration range of the higher dielectric constant material, the compound showed a serial model-like behavior. For around 35% content of the higher dielectric constant material, the mixture exhibited results similar to the logarithmic mixing rule. In this work we tried to introduce the order parameter n and S which closely relates to the aspect ratio of dispersing material and aligning angle with respect to the applied electric field