Percolation and Clustering
Percolation theory deals with the effects of varying the connectivity of elements (e.g., particles, sites, or bonds) in a random system. A cluster is simply a connected group of elements. Roughly speaking, the percolation transition, or threshold, of the system is the point at which a cluster first spans the system, i.e., the first appearance of long-range connectivity. In the thermodynamic limit, the percolation threshold is the point at which a cluster becomes infinite in size. The percolation transition is a wonderful example of a second-order phase transition and critical phenomenon.
KeywordsCritical Exponent Percolation Threshold Bethe Lattice Bond Percolation Site Percolation
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