Abstract
We present a new numerical method solving exactly Kirchhoff laws to determine the effective ac and dc conductivity and the local field for large scale 3D composites with any number of components. This method is an extension of a previous one restricted to 2D and two-component composites. It is much slower than the Frank and Lobb method for conductivity but calculates in addition exactly the local field for 3D systems with large sizes (which was not done by any previous method). The local field enhancement obtained by this method is in good agreement with recent experimental results and is two orders of magnitude lower than the values obtained by a widely used real space renormalization group method. We further discuss some 3D example calculations of impedance spectra and Cole and Cole diagrams for a three-component sample as well as the local field at the surface plasmon resonance.
Published Version
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