UNIVERSAL MASS RATIOS OF NONUNIQUE SPANNING CLUSTERS IN PERCOLATION

We find that when two or more spanning clusters exist at the percolati on threshold, the mass of each scales with the same fractal dimension D = 1.89 in two dimensions and D = 2.53 in three dimensions. We also d etermine the ratios of the masses of the spanning clusters. In two dim ensions, this is done for different lattices of different shapes. In t he case of two spanning clusters, the ratio of the larger spanning clu ster to the smaller lies around 1.4 for two dimensions, almost indepen dent of lattice structure and shape.