How round is round? On accuracy in complex dielectric permittivity calculations: A finite-size scaling approach

Autor:	Enis Tuncer
Jazyk:	angličtina
Rok vydání:	2001
Předmět:	Condensed Matter::Materials Science Condensed Matter - Materials Science Dielectric mixtures composite materials the finite element method finite size scaling Materials Science (cond-mat.mtrl-sci) FOS: Physical sciences Physics::Optics
Zdroj:	Volume: 27, Issue: 2 121-132 Turkish Journal of Physics Scopus-Elsevier
ISSN:	1300-0101 1303-6122
Popis:	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 $ 13 pages 5 figures, submitted Turkish Journal of Physics
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::efe1facd0b8e7c538b58a586f29d9252 http://arxiv.org/abs/cond-mat/0107384 Zobrazit plný text záznamu