Abstract
Topological properties of clusters are used to extract critical parameters. This method is tested for the bulk properties of d= 2 percolation and the d= 2, 3 Ising model. For the latter we obtain an accurate value of the critical temperature J/kBT c = 0.221617(18). In the case of the d= 3 Ising model with film geometry the critical value of the surface coupling at the special transitions is determined as Jlc/J = 1.5004(20) together with the critical exponents fl~ = 0.237(5) and ~b = 0.461(15).
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