On Keller Theorem for Anisotropic Media

Details On Keller Theorem for Anisotropic Media On Keller Theorem for Anisotropic Media

2002-01-17

arxiv.org/abs/cond-mat/0201319v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

1 page, 1 figure

Scientific paper

10.1063/1.1480450

The Keller theorem in the problem of effective conductivity in anisotropic two-dimensional (2D) many-component composites makes it possible to establish a simple inequality $\sigma_{{\sf is}}^e(\sigma^{-1}_i)\cdot \sigma_{{\sf is}}^e(\sigma_k)> 1$ for the isotropic part $\sigma_{{\sf is}}^e(\sigma_k)$ of the 2-nd rank symmetric tensor ${\widehat \sigma}_{i,j}^e$ of effective conductivity.

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