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Electrical conduction in resistor networks with all but a fraction p of the resistors removed is studied as a paradigm of classical transport in disordered materials. A self-consistent effective-medium theory provides a quantitative description of the model, except in a small critical region, where the scaling law σ^∝(p-pc)8/5 is satisfied (in three dimensions), with pc the critical probability for bond percolation. It is also contrasted with a critical-path analysis recently developed for the study of hopping conduction.
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Scott Kirkpatrick (1971) studied this question.
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