Analysis of extended series for bond percolation on the directed square lattice
- 1 February 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 33 (3) , 1982-1986
- https://doi.org/10.1103/physrevb.33.1982
Abstract
Series expansions for the mean size and moments of the pair connectedness for bond percolation on the directed square lattice have been extended to order . Standard Padé analysis of the mean-size series leads to the critical probability =0.644 701±0.000 002. Allowance for corrections to scaling gives a leading correction exponent =1.000±0.012 and an increase of the error bar on to 0.000 012. The increased accuracy in the determination of allows a corresponding improvement in the estimates of the exponents γ, , and .
Keywords
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