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Percolation Theory
BondPercolation

Percolation theory deals with fluid flow (or any other similar process) in random media. If the medium is a set of regular lattice points, then there are two types of percolation. A site percolation considers the lattice vertices as the relevant entities; a bond percolation considers the lattice edges as the relevant entities.

In the Season 2 episode "Soft Target" (2006) of the television crime drama NUMB3RS, character Charlie uses percolation theory to help locate the person who released potentially lethal gas into the Los Angeles subway system.

SEE ALSO: Bond Percolation, Bootstrap Percolation, Cayley Tree, Cluster, Cluster Perimeter, Lattice Animal, Percolation Threshold, Polyomino, Random Walk, s-Cluster, s-Run, Site Percolation

REFERENCES:

Deutscher, G.; Zallen, R.; and Adler, J. (Eds.). Percolation Structures and Processes. Bristol: Adam Hilger, 1983.

Grimmett, G. Percolation. New York: Springer-Verlag, 1989.

Grimmett, G. Percolation and Disordered Systems. Berlin: Springer-Verlag, 1997.

Kesten, H. Percolation Theory for Mathematicians. Boston, MA: Birkhäuser, 1982.

Stauffer, D. and Aharony, A. Introduction to Percolation Theory, 2nd ed. London: Taylor & Francis, 1992.

Weisstein, E. W. "Books about Percolation Theory." http://www.ericweisstein.com/encyclopedias/books/PercolationTheory.html.




CITE THIS AS:

Weisstein, Eric W. "Percolation Theory." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/PercolationTheory.html

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