Frequency dependent effective conductivity of two-dimensional metal-dielectric composites

Details Frequency dependent effective conductivity of two-dimensional metal-dielectric composites Frequency dependent effective conductivity of two-dimensional metal-dielectric composites

2004-12-29

arxiv.org/abs/cond-mat/0412741v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages including all figures, accepted in Int. J. Mod. Phys. C

Scientific paper

10.1142/S0129183105007662

We analyze a random resistor-inductor-capacitor $(RLC)$ lattice model of 2-dimensional metal-insulator composites. The results are compared with Bruggeman's and Landauer's Effective Medium Approximations where a discrepancy was observed for some frequency zones. Such a discrepancy is mainly caused by the strong conductivity fluctuations. Indeed, a two-branches distribution is observed for low frequencies. We show also by increasing the system size that at $p_c$ the so-called Drude peak vanishes; it increases for vanishing losses.

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