Two-dimensional percolation: logarithmic corrections to the critical behaviour from series expansions
- 1 November 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (11) , L463-L470
- https://doi.org/10.1088/0305-4470/14/11/008
Abstract
Analyses several extant series for the mean cluster size, the zeroth moment of the pair connectedness and the percolation probability for bond and site percolation on two-dimensional lattices with a view to detecting possible logarithmic corrections. The logarithmic correction exponent z is found to be in the range 0-<or=z<or=0.15, and our analysis also provides some new information about the critical exponents gamma and beta .Keywords
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