Electrical Properties of Percolation Clusters: Exact Results on a Deterministic Fractal
We study general electrical properties of percolation clusters through a Deterministic Fractal Lattice, generalizing a model proposed by Kirkpatrick. The model admits an exact renormalization group transformation, and hence most physical quantities are exactly computable. We focus our attention on the frequency-dependence of the impedance and the loss angle, on the transient response to an arbitrary input signal, and to the amplification of resistor noise (Flicker or 1/f noise).
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