2001/07/18 by Enis Tuncer, Tuncer, Enis
Chemistry · Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Dielectric materials and actuators #Electrostatics and Colloid Interactions #FOS: Physical sciences #Geophysical and Geoelectrical Methods #Materials Science (cond-mat.mtrl-sci) #Microwave and Dielectric Measurement Techniques #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0107384
13 pages 5 figures, submitted Turkish Journal of Physics
openalex publication_date 2001/07/18 · arxiv created 2002/11/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.