Percolation theory
- 1 July 1980
- journal article
- review article
- Published by IOP Publishing in Reports on Progress in Physics
- Vol. 43 (7), 833-912
- https://doi.org/10.1088/0034-4885/43/7/001
Abstract
The theory or percolation models is developed following general ideas in the area of critical phenomena. The review is an exposition of current phase transition theory in a geometrical context. As such, it includes a discussion of scaling relations between critical exponents and their calculation using series expansion methods. Renormalisation group techniques are also considered. The major difference between percolation and other phase transition models is the absence of a Hamiltonian. Instead, the theory is based entirely on probabilistic arguments. A discussion of the connections with classical probability theory is also given.Keywords
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