Corrections to Finite Size Scaling in Percolation

Details Corrections to Finite Size Scaling in Percolation Corrections to Finite Size Scaling in Percolation

2003-08-26

arxiv.org/abs/cond-mat/0308525v1

Brazilian Journal of Physics 33, 616-618 (2003)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

A 1/L-expansion for percolation problems is proposed, where L is the lattice finite length. The square lattice with 27 different sizes L = 18, 22 ... 1594 is considered. Certain spanning probabilities were determined by Monte Carlo simulations, as continuous functions of the site occupation probability p. We estimate the critical threshold pc by applying the quoted expansion to these data. Also, the universal spanning probability at pc for an annulus with aspect ratio r=1/2 is estimated as C = 0.876657(45).

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