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Physical Review Letters
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Classical transport in disordered media: Scaling and effective-medium theories

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Abstract

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)85 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. © 1971 The American Physical Society.

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Physical Review Letters

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