2004/02/18 by Inna M. Kaganova, Kaganova, Inna M.
Chemistry · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #Electrostatics and Colloid Interactions #FOS: Physical sciences #Force Microscopy Techniques and Applications #Materials Science (cond-mat.mtrl-sci) #Scientific Research and Discoveries #cond-mat.dis-nn #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0402476
13 pages, 2 Postscript figures, to be published in "Laser Physics"
arxiv created 2004/02/18 · openalex publication_date 2004/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.