### 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 p_{c}. 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 language | English |
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Article number | 010 |

Journal | Journal of Physics A: General Physics |

Volume | 19 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1986 |

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### ASJC Scopus subject areas

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

### Cite this

**Transfer matrix calculation of the relative noise exponent in a two-dimensional percolating network.** / Csordás, A.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Transfer matrix calculation of the relative noise exponent in a two-dimensional percolating network

AU - Csordás, A.

PY - 1986

Y1 - 1986

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36149030987&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36149030987&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/19/10/010

DO - 10.1088/0305-4470/19/10/010

M3 - Article

AN - SCOPUS:36149030987

VL - 19

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 10

M1 - 010

ER -