New method for the exact determination of the effective conductivity and the local field in RLC networks

Lotfi Zekri, Rachid Bouamrane, Nouredine Zekri

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We present a new numerical method for exactly determining the effective conductivity and the local field for random RLC networks. This method is compared with a real-space renormalization group method and the Frank and Lobb (FL) method. Although our method is slower than the FL method, it also exactly computes the local field for large-size systems. We also show that the renormalization group method fails in determining the local field.

Original languageEnglish
Pages (from-to)649-656
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number3
DOIs
StatePublished - 28 Jan 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy

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