Daniel Tiggemann -> Publications -> Fluctuations of cluster numbers in percolation
| Author: | D. Tiggemann. |
| Published in: | International Journal of Modern Physics C13, 777 (2002). |
| Abstract: | In order to study fluctuations in percolating systems, lattices of sizes of up to L=100000 have been simulated several thousand times using the Hoshen-Kopelman algorithm. Distributions of cluster numbers are Gaussians for small clusters and half-sided quasi-Gaussians for large clusters. The variance of cluster numbers is proportional to the mean, with power-law deviations for small clusters. Higher moments like skewness and kurtosis were also studied. |