论文信息 - A Monte Carlo calculation of the cluster size critical exponent for 2D bond percolation

A Monte Carlo calculation of the cluster size critical exponent for 2D bond percolation

Reynolds, Stanley and Klein (1978) developed a large-cell renormalisation group scheme and applied it to the site percolation problem in two dimensions. Applying this technique to bond percolation, the authors calculate the cluster size critical exponent nu . This method converges very rapidly when applied to the bond problem. They estimate that nu =1.343+or-0.017, in excellent agreement with the earlier site percolation result, thus supporting the idea of site-bond universality.

C. Lobb | K. Karasek

[1] C. Lobb,et al. A large-cell renormalisation group calculation of the percolation conduction critical exponent , 1979 .

[2] J. Bernasconi. Real-space renormalization of bond-disordered conductance lattices , 1978 .

[3] Peter Reynolds,et al. Percolation by position-space renormalisation group with large cells , 1978 .

[4] H. Stanley,et al. A Real-space Renormalization Group for Site and Bond Percolation? , 1977 .

[5] Raoul Kopelman,et al. Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm , 1976 .

[6] J. W. Essam,et al. Exact Critical Percolation Probabilities for Site and Bond Problems in Two Dimensions , 1964 .