Physics – Condensed Matter – Materials Science
Scientific paper
2001-07-18
Physics
Condensed Matter
Materials Science
13 pages 5 figures, submitted Turkish Journal of Physics
Scientific paper
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, and the permittivities were estimated by two different procedures. The results were compared with those of analytical models based on 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, $< 30 %$, considering an decagon ($n=10$) cause an error of $<0.1 %$ in the effective medium quantities compared with the results obtained using the analytical models.
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