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Percolation Theory and Forest Fires--Types of Percolation

已有 5838 次阅读 2007-11-20 09:03 |个人分类:复杂系统

 
Types of Percolation
 
There are two types of percolation, depending how one views the lattice: site percolation and bond percolation.
 
In site percolation one views the lattice as a rectangular array of squares. Each square is populated by a dot, or is colored black below, with probabiility p (open square), otherwise closed with probability 1-p. A cluster is defined as set of neighboring squares that are open.
 
In bond percolation one views the lattice as a graph consisting of horizontal and vertical edges. Each lattice edge is open (boldfaced below) with probabiliy p, otherwise closed with probability 1-p. A cluster is defined as a lattice subgraph consisting of open edges.
 




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