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Self-organized percolation A. M. Alencar,1

Summary: Self-organized percolation
A. M. Alencar,1
J. S. Andrade, Jr.,1,* and L. S. Lucena2
Departamento de Fi´sica, Universidade Federal do Ceara´, 60451-970 Fortaleza, Ceara´, Brazil
Departamento de Fi´sica, Universidade Federal do Rio Grande do Norte, 59072-970, Natal, Rio Grande do Norte, Brazil
Received 19 May 1997
We investigate a growth mechanism for percolation clusters where self-organization leads the system to
criticality. By controlling the number of sites or bonds in the growth front of the aggregate, the system is
spontaneously driven to a stationary state that corresponds to the percolation threshold of the lattice topology
and percolation process used in the simulation site or bond percolation . This self-tuning behavior around a
critical state is then discussed with reference to the concept of self-organized criticality. We also suggest that
the generalization of this approach to other controlling rules and lattice geometries could explain the occur-
rence of percolation structures in some physical and nonphysical disordered systems.
S1063-651X 97 50209-1
PACS number s : 61.41. e, 05.40. j
Percolation is a successful model for many phenomena in
nature 1 . In its original version, percolation is a static geo-
metric model in the sense that we have to simultaneously


Source: Alencar, Adriano Mesquita - Departamento de Física Geral, Universidade de São Paulo


Collections: Physics