# Universality of the excess number of clusters and the crossing probability function in three-dimensional percolation

@article{Lorenz1998UniversalityOT, title={Universality of the excess number of clusters and the crossing probability function in three-dimensional percolation}, author={Christian D. Lorenz and Robert M. Ziff}, journal={Journal of Physics A}, year={1998}, volume={31}, pages={8147-8157} }

Extensive Monte Carlo simulations were performed to evaluate the excess number of clusters and the crossing probability function for three-dimensional percolation on the simple cubic (s.c.), face-centred cubic (f.c.c.), and body-centred cubic (b.c.c.) lattices. Systems L L L0 with L0 L were studied for both bond (s.c., f.c.c., b.c.c.) and site (f.c.c.) percolation. The excess number of clusters Q b per unit length was confirmed to be a universal quantity with a value Q b 0:412. Likewise, the…

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