Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-04-14
Int J. Mod. Phys. C, Vol 8, no 2, p. 229 (1997)
Physics
Condensed Matter
Statistical Mechanics
12 pages, Revtex, 12 figures
Scientific paper
10.1142/S0129183197000205
For random percolation at p_c, the probability distribution P(n) of the number of spanning clusters (n) has been studied in large scale simulations. The results are compatible with $P(n) \sim \exp(-an^2)$ for all dimensions. We also study the variation of the average size (mass) of the spanning clusters when there are more than one spanning cluster. While the average size of the spanning clusters scales as usual with $L^D$ where $D = d- \beta/\nu$ for any number of clusters, it shows a smooth decrease as the number of spanning clusters increases.
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