Current distribution on a three-dimensional, bond-diluted, random-resistor network at the percolation threshold

Edgardo Duering, David J. Bergman

Research output: Contribution to journalArticlepeer-review

Abstract

Current and logarithm-current distributions on a three-dimensional random-bond percolation cubic network were studied at the percolation threshold by computer simulations. Predictions of a hierarchical model that combine fractal structure and randomness agree with our numerical simulations. In the thermodynamic limit the logarithm-current distribution exhibits an n(ln(i))∼i1/3 dependence below some characteristic current ic. This distribution may scale with ln i/ln L, but the data are insufficient to make this a definite conclusion. Due to the small range of ln L considered, a study of the moments does not reveal this behavior and a study of the distribution itself is required.

Original languageEnglish
Pages (from-to)363-381
Number of pages19
JournalJournal of Statistical Physics
Volume60
Issue number3-4
DOIs
StatePublished - Aug 1990
Externally publishedYes

Keywords

  • Percolation
  • distribution
  • multifractals
  • transport processes

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