Denoting by M(L) the number of cells in the largest cluster, simulations show in the limit of large L, M(L) scales as | ||||||
| ||||||
where d = 1.89 ± 0.03. | ||||||
That is, at the percolation threshold, the largest cluster is a statistically self-similar fractal. | ||||||
For percolation on triangular lattices, in 1964
Sykes and Essam showed analytically that |
Return to percolation.