We analyze a random resistor-inductor-capacitor $(RLC)$ lattice model of2-dimensional metal-insulator composites. The results are compared withBruggeman's and Landauer's Effective Medium Approximations where a discrepancywas observed for some frequency zones. Such a discrepancy is mainly caused bythe strong conductivity fluctuations. Indeed, a two-branches distribution isobserved for low frequencies. We show also by increasing the system size thatat $p_c$ the so-called Drude peak vanishes; it increases for vanishing losses.
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