Corrections to finite size scaling in percolation

AUTOR(ES)

Oliveira, P.M.C. de, Nóbrega, R.A., Stauffer, D.

FONTE

Brazilian Journal of Physics

DATA DE PUBLICAÇÃO

2003-09

RESUMO

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 p c for an annulus with aspect ratio r = 1=2 is estimated as C = 0.876657(45).

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