Non-universal threshold behaviour of random resistor networks with anomalous distributions of conductances

J. P. Straley

Research output: Contribution to journalArticlepeer-review

70 Scopus citations

Abstract

The exponent t which describes the conductivity of a random resistor network near the percolation threshold is generally independent of the form of the distribution h( sigma ) of the non-zero conductors. However, in cases where h approximately sigma - alpha, t comes to depend on alpha . Here this problem is discussed using a combination of the Skal-Shklovskii-de Gennes model, and renormalisation ideas, with the conclusion that t( alpha )=(d-2) nu +(1- alpha )-1 when this is greater than tun, with a continuous transition at a value of alpha -which may be greater than zero.

Original languageEnglish
Article number014
Pages (from-to)2343-2346
Number of pages4
JournalJournal of Physics C: Solid State Physics
Volume15
Issue number11
DOIs
StatePublished - 1982

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering (all)
  • Physics and Astronomy (all)

Fingerprint

Dive into the research topics of 'Non-universal threshold behaviour of random resistor networks with anomalous distributions of conductances'. Together they form a unique fingerprint.

Cite this