A lower bound on the variance of conductance in random resistor networks

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8 Scopus citations

Abstract

We study the conductance of random resistor networks in d≥2 dimensions. It is shown (under some technical assumptions) that if a network exhibits a non-zero conductivity in the infinite-volume limit, then the variance of a finite-volume conductance grows at least like the volume.

Original languageEnglish (US)
Pages (from-to)1359-1365
Number of pages7
JournalJournal of Statistical Physics
Volume86
Issue number5-6
DOIs
StatePublished - Mar 1997

Keywords

  • Conductivity
  • Fluctuations
  • Random media
  • Variance bounds

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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