Percolation theory of nonlinear circuit elements

Stephen W. Kenkel, Joseph P. Straley

Research output: Contribution to journalArticlepeer-review

98 Scopus citations


Percolation theory is extended to the case of circuit elements with nonlinear I-V characteristics, particularly the special cases V=Ir, which form the universality classes. Near the percolation threshold the "conductance" IV1 vanishes like (p-pc)t, where t depends on and dimensionality. The Skal-Shklovskii-De Gennes model gives t=(d-1), where is only weakly dependent on and d, and approaches unity at d=6. Renormalization methods are used to study the dependence of t in two dimensions.

Original languageEnglish
Pages (from-to)767-770
Number of pages4
JournalPhysical Review Letters
Issue number11
StatePublished - 1982

ASJC Scopus subject areas

  • General Physics and Astronomy


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