Transfer matrix calculation of the relative noise exponent in a two-dimensional percolating network

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5 Citations (Scopus)

Abstract

A new method is given for calculating the relative noise exponent describing the size dependence of macroscopic fluctuations due to microscopic resistance noise of a random resistor network at the percolation threshold pc. The macroscopic fluctuation is calculated exactly using the transfer matrix idea in a given network. The asymptotic exponent b is found by finite-size scaling.

Original languageEnglish
Article number010
JournalJournal of Physics A: General Physics
Volume19
Issue number10
DOIs
Publication statusPublished - 1986

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Transfer Matrix
Resistors
Exponent
exponents
Fluctuations
Percolation Threshold
Random Networks
Finite-size Scaling
resistors
scaling
thresholds
Resistance

ASJC Scopus subject areas

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

Cite this

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title = "Transfer matrix calculation of the relative noise exponent in a two-dimensional percolating network",
abstract = "A new method is given for calculating the relative noise exponent describing the size dependence of macroscopic fluctuations due to microscopic resistance noise of a random resistor network at the percolation threshold pc. The macroscopic fluctuation is calculated exactly using the transfer matrix idea in a given network. The asymptotic exponent b is found by finite-size scaling.",
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