Computer simulations of conductance noise in a dynamical percolation resistor network

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.