Percolation on growing lattices

Author:D. Tiggemann.
Published in:International Journal of Modern Physics C17, 1141 (2006).
Abstract:In order to inverstigate the dependence on lattice size of several observables in percolation, the Hoshen-Kopelman algorithm was modified so that growing lattices could be simulated. By this way, when simulating a lattice of size L, lattices of smaller sizes can be simulated in the same run for free, saving computing time. Here, site percolation in three dimensions was studied. Lattices of up to L=5000, with many L-steps in between, have been simulated, for occupation probabilities of p=0.25, p=0.3, p=p_c=0.311608, and p=0.35.