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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 ^ (p-{p₂) }^8{5} is satisfied (in three dimensions), with p₂ the critical probability for bond percolation. It is also contrasted with a critical-path analysis recently developed for the study of hopping conduction.
Scott Kirkpatrick (Mon,) studied this question.