Percolation theory for nonlinear conductors

Joseph P. Straley, Stephen W. Kenkel

Research output: Contribution to journalArticlepeer-review

78 Scopus citations


Under broad conditions, a network of nonlinear conductors has an I-V characteristic uniquely determined by Kirchhoff's rules. By means of a renormalization calculation, we show that near the percolation threshold the details of the microscopic I-V characteristic are averaged out, so that the bulk material approaches power-law conductor behavior (V=I±). The threshold exponents t(±) and s(±) are discussed in the limiting cases of two dimensions (where they are related by duality) and high dimensionality (by solving the Cayley-tree model).

Original languageEnglish
Pages (from-to)6299-6305
Number of pages7
JournalPhysical Review B
Issue number11
StatePublished - 1984

ASJC Scopus subject areas

  • Condensed Matter Physics


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