Am. Alencar et al., SELF-ORGANIZED PERCOLATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 2379-2382
We investigate a growth mechanism for percolation clusters where self-
organization leads the system to criticality. By controlling the numbe
r of sites or bonds in the growth front of the aggregate, the system i
s spontaneously driven to a stationary state that corresponds to the p
ercolation threshold of the lattice topology and percolation process u
sed in the simulation (site or bond percolation). This self-tuning beh
avior around a critical state is then discussed with reference to the
concept of self-organized criticality. We also suggest that the genera
lization of this approach to other controlling rules and lattice,geome
tries could explain the occurrence of percolation structures in some p
hysical and nonphysical disordered systems.