DC conductive percolation of 2-D fractal random network

We report the numerical investigation of DC conductive percolation in a two -dimensional (2-D) random fractal resistor network. The network is configur ated by covering a deterministic fractal of Sierpinski carpet and occupied with low- or high-value resistors. The percolation current is calculated st raightforwardly and exactly by solving the linear equations of Kirchhoff's law. The DC percolation current below and above threshold p(c) exhibits a s caling behavior in four ranges. Due to the iteration of setting low R resis tors in Sierpinski carpet, the percolation threshold probability p(c) shift s from 0.5 to lower value for higher level iterations. We observed that the fractal constructed in network changes the percolation property, and this results in a bifurcation curve of threshold. This effect gives an explanati on for the usually observed natural phenomena. such as are current or Bicke r noise. Our result reveals good agreement with experimental observation. ( C) 2000 Elsevier Science B.V. All rights reserved.