Journal of Materials Science

, Volume 45, Issue 11, pp 2843–2851 | Cite as

The anisotropy of ac conductivity and dielectric constant of anisotropic conductor–insulator composites

Article
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Accepted:

Abstract

We study the complex ac admittance tensor (ac conductivity and dielectric constant) of anisotropic conductor–insulator composite materials, based on anisotropic two-dimensional RC-networks consisting of randomly placed conductors and capacitors with different conductor existence (bond occupation) probabilities in two directions. We calculate numerically each component of the complex ac admittance tensor by applying a transfer matrix method and reveal the effect of the anisotropy of the bond occupation probability on the frequency characteristics of the ac admittance tensor. It is found that the dual relation holds for each diagonal component of the complex admittance tensor of the anisotropic two-dimensional RC-network. For the effective conductance in the metallic region, the anisotropy depends not only on the anisotropy of the bond occupation probability, but also on the frequency ω. We derive the analytical relation between the anisotropy of the conductance and the anisotropy of the bond occupation probability, at both the dc limit and ω RC = 1. The calculated results on the ac admittance are compared with the effective medium theory and how the accuracy of the theory is related with the microscopic current path is clarified.

Keywords

Vertical Component Percolation Threshold Transfer Matrix Method Effective Conductance Dual Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Notes

Acknowledgements

We acknowledge Dr. Shigeru Kohinata in Sumitomo Metal Mining Co. for stimulating discussion on high frequency conductance on conductive epoxy adhesive.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Electronic-EngineeringThe University of Electro-CommunicationsTokyoJapan

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