Abstract:

The renormalization group method is an effective way to calculate percolation parameters of conducting polymer composites. Percolation parameters of the 8-neighbor rule and the 4-neighbor rule are calculated by renormalization group in different correlation dimensions. The results show that more accurate parameters can be obtained by raising the value of correlation dimension M. The fractal dimension of infinite percolation cluster is reduced because of the increase of critical exponent. The 8-neighbor rule is to some degree more appropriate to demonstrate the percolation model of electrical conductivity because its percolation threshold is close to the experimental results.

Key words: site percolation, renormalization group, percolation threshold, critical exponent