Critical exponents for percolation conductivity in resistor networks

Itzhak Webman, Joshua Jortner, Morrel H. Cohen

Research output: Contribution to journalArticle

114 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)2593-2596
Number of pages4
JournalPhysical Review B
Volume16
Issue number6
DOIs
StatePublished - Jan 1 1977
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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