Critical exponents for conductance and 1/f noise in discrete-lattice percolation

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, , Citation A Kolek and A Kusy 1988 J. Phys. C: Solid State Phys. 21 L573 DOI 10.1088/0022-3719/21/16/005

0022-3719/21/16/L573

Abstract

Monte Carlo simulations of site percolation on 2 D and 3 D regular random resistor networks with free boundary conditions have been performed. An iteration-relaxation procedure has been applied to estimate the network voltage distributions from which conductance and relative noise have been estimated. In the noise calculation the authors have used the formula derived by Rammal and co-worker (1985). Critical exponents for the conductance and relative noise have been calculated using a finite-size scaling method. The 2D results obtained are in good agreement with the recent estimates of other authors. In the 3D case they have calculated the relative noise exponents k=1.47+or-0.04 and b=1.35+or-0.04 which they have found to lie within the error bar limits of the theoretical upper bound derived by Tremblay and coworkers (1986) from a 'nodes-links-blobs' model.

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10.1088/0022-3719/21/16/005