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September 15, 1977Physical review. B, Solid state127 citations

Critical exponents for percolation conductivity in resistor networks

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IWItzhak WebmanJJJoshua JortnerMCMorrel H. Cohen

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Abstract

The conductivity of two-dimensional and of three-dimensional cubic binary random resistor networks is shown to obey a power-law dependence on the conductivity ratio at the percolation threshold. The relation recently derived by Straley between the exponent of this power law and the other two critical exponents of the conductivity above and below the percolation threshold is accurately obeyed. Extension of the scaling laws for a complex dielectric function of a binary network is provided.

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Cite This Study

Webman et al. (1977) studied this question.

synapsesocial.com/papers/6a8364841d524fa873182156https://doi.org/10.1103/physrevb.16.2593
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