TY - JOUR

T1 - Computer simulations of conductance noise in a dynamical percolation resistor network

AU - Lust, Lisa M.

AU - Kakalios, J.

N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 1994

Y1 - 1994

N2 - Computer simulations of a dynamical bond percolation model in the form of a random resistor network are described. The conductance of a two-dimensional random resistor network is calculated using the transfer matrix approach when the network is at the percolation threshold. Keeping the total number of broken bonds fixed, a fraction of broken bonds are allowed to exchange places with adjacent unbroken bonds, and the conductance of the network is recalculated. This procedure is repeated a great many (103) times, and the Fourier transform of the resulting time trace of the conductance yields the spectral density of the dynamical percolation network. The dynamical percolation noise has a Lorentzian power spectra with a characteristic lifetime that represents the regeneration rate of the lattice.

AB - Computer simulations of a dynamical bond percolation model in the form of a random resistor network are described. The conductance of a two-dimensional random resistor network is calculated using the transfer matrix approach when the network is at the percolation threshold. Keeping the total number of broken bonds fixed, a fraction of broken bonds are allowed to exchange places with adjacent unbroken bonds, and the conductance of the network is recalculated. This procedure is repeated a great many (103) times, and the Fourier transform of the resulting time trace of the conductance yields the spectral density of the dynamical percolation network. The dynamical percolation noise has a Lorentzian power spectra with a characteristic lifetime that represents the regeneration rate of the lattice.

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U2 - 10.1103/PhysRevE.50.3431

DO - 10.1103/PhysRevE.50.3431

M3 - Article

AN - SCOPUS:0342387981

VL - 50

SP - 3431

EP - 3435

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 5

ER -