Series expansion study of the pair connectedness in bond percolation models
- 21 December 1975
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 8 (24) , 4219-4235
- https://doi.org/10.1088/0022-3719/8/24/014
Abstract
The pair connectedness C(r,p) in a percolation model is the probability that a lattice site at position r belongs to a finite cluster containing the origin when neighbouring sites are connected with probability p. Low-density power series expansions have been used to show that the spherical moments of C(r,p) are consistent with a scaling form. Assuming scaling theory to be valid, the results may be used to estimate the exponent describing the vanishing of percolation probability.Keywords
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