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On Complex Permittivity Of Dilute Random Binary Dielectric Mixtures In Two-Dimensions, Eni̇s Tuncer, Emre Tuncer
On Complex Permittivity Of Dilute Random Binary Dielectric Mixtures In Two-Dimensions, Eni̇s Tuncer, Emre Tuncer
Turkish Journal of Physics
Influence of the number of particles considered in numerical simulations on the complex dielectric permittivity of binary dilute dielectric mixtures in two-dimensions are reported. In the simulations, dodecagons (polygons with 12-sides) were used to mimic disk-shaped inclusions. Using such an approach we were able to consider 16^2 particles in a unit-square. The effective dielectric permittivity of the mixtures were calculated using the finite element method at two different frequecies which were much higher and lower than the characteristic relaxation rate of the Maxwell-Wagner-Sillars polarization. The results were compared to an analytical solution. It was found that the permittivity values at …
How Round Is Round? On Accuracy In Complex Dielectric Permittivity Calculations: A Finite-Size Scaling Approach, Eni̇s Tuncer
How Round Is Round? On Accuracy In Complex Dielectric Permittivity Calculations: A Finite-Size Scaling Approach, Eni̇s Tuncer
Turkish Journal of Physics
Accuracy in complex dielectric permittivity calculations in binary dielectric mixtures in two-dimensions are reported by taking into account the shape of the inclusion phase. The dielectric permittivity of the mixtures were calculated using the finite element method, and the permittivities were estimated by two different procedures. The results were compared with those of analytical models based on a mean field approximation and regular arrangement of disks. We have approached the problem emphasizing the finite-size behavior in which regular polygons with n sides were assumed to mimic the disk inclusion phase. It was found that at low concentrations, < 30%, decagon-approximated circles (n = 10) cause an error of < 0.1% in the effective medium quantities compared with results obtained using analytical models.