Resistance fluctuations in random resistor networks above and below the percolation threshold

David C. Wright*, David J. Bergman, Yacov Kantor

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

114 Scopus citations

Abstract

We examine the critical behavior of resistance fluctuations in random resistor networks near a percolation threshold. The links-nodes-blobs picture is used to discuss a conductor-insulator mixture above the percolation threshold of the conducting bonds. A similar picture is used to discuss a normal-conductor superconductor mixture below the percolation threshold of the superconducting bonds. Upper and lower bounds are found for the critical behavior in each case. An exact relation is found between the two types of behavior in the case of two-dimensional networks.

Original languageEnglish
Pages (from-to)396-401
Number of pages6
JournalPhysical Review B-Condensed Matter
Volume33
Issue number1
DOIs
StatePublished - 1986

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