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

Research output: Contribution to journalArticle

8 Citations (Scopus)

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
StatePublished - Mar 1997

Fingerprint

Random Networks
Conductance
resistors
Lower bound
Finite Volume
Conductivity
conductivity

Keywords

  • Conductivity
  • Fluctuations
  • Random media
  • Variance bounds

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

A lower bound on the variance of conductance in random resistor networks. / Wehr, Jan.

In: Journal of Statistical Physics, Vol. 86, No. 5-6, 03.1997, p. 1359-1365.

Research output: Contribution to journalArticle

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