Abstract
Kirkpatrick's effective medium approximation is extended to deal with a random resistor-capacitor network in which the conductance (with a fraction p) obeys an anomalous distribution of the form h( g)≈ g −α (0<α<1). In the limit of small concentration p and low frequencies, the results are in good accord with previous calculations via the Maxwell-Garnett formula. The ac conductivity is also calculated near the percolation threshold. As one increases the frequency, both the real and imaginary parts of the conductivity cross over to the same high-frequency behavior g eff ≈ω 1 (2−α . Corrections to the leading behavior are obtained at the percolation threshold.
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