Percolação e criticalidade auto-organizada

Abstract

In this study, we investigated the Percolation Theory watching some models of Percolation such as Self-Organized Percolation. First, we propose an overview of Percolation Theory models like Forest fires and Sand pile, these models create a perspective on the growth of branched structures. We analyze the phenomenology involved in the process, such as growth and network scattering. Our objective was to analyze growth mechanisms for branched polymers and percolation thresholds where self-organization leads the system to criticality. In the case of polymers incorporate a dynamic rule that governs the monomer flow (a small molecule that may bind to other monomers forming larger molecules called polymer) available for aggregation and the system is driven spontaneously to the probability of critical branch that separates the finite and infinite growth regimes. In case the percolation, the control is enforced by a growth rule on the number of sites or linked to aggregate growth boundary. The system instead of growing indefinitely, he is taken again, spontaneously, to its steady state that corresponds to the network topology percolation threshold and the type of percolation process, sites percolation or bond percolation. The fact that both systems are and remain close to a critical state without the need for a fine-tuning parameter is discussed in terms of the concept of self-organized criticality. We seek new mechanism that still have criticality to the system, as the radius of gyration.