Abstract
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.
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© 2002 Springer Science+Business Media New York
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Torquato, S. (2002). Percolation and Clustering. In: Random Heterogeneous Materials. Interdisciplinary Applied Mathematics, vol 16. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6355-3_9
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DOI: https://doi.org/10.1007/978-1-4757-6355-3_9
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