On calculation of effective conductivity of inhomogeneous metals

Details On calculation of effective conductivity of inhomogeneous metals On calculation of effective conductivity of inhomogeneous metals

2004-02-18

arxiv.org/abs/cond-mat/0402476v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 2 Postscript figures, to be published in "Laser Physics"

Scientific paper

In the framework of the perturbation theory an expression suitable for calculation of the effective conductivity of 3-D inhomogeneous metals is derived. Formally, the final expression is an exact result, however, a function written as a perturbation series enters the answer. More accurately, when statistical properties of the given inhomogeneous medium are known, our result provides the regular algorithm for calculation of the effective conductivity up to an arbitrary term of the perturbation series. As examples, we examine (i) an isotropic metal whose local conductivity is a Gaussianly distributed random function, (ii) the effective conductivity of polycrystalline metals.

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