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Percolation Theory


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.

See also Bond Percolation, Cayley Tree, Cluster, Cluster Perimeter, Lattice Animal, Percolation Threshold, Polyomino, s-Cluster, s-Run, Site Percolation


Percolation Theory

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

Finch, S. ``Favorite Mathematical Constants.''

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

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.

© 1996-9 Eric W. Weisstein