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Large-cell Monte Carlo renormalization group: A new weight function for percolation

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Abstract

The large-cell Monte Carlo renormalization group introduced by Reynolds, Stanley, and Klein [Phys. Rev. B 20, 1223 (1980)] is applied with a new weight function to random percolation in two and three dimensions. Our renormalization-group results show different behavior with lattice size than that observed previously. Specifically, we find that Yp=0.73±0.01 (the correlation length exponent =1.37) in two dimensions and Yp=1.124±0.004 (=0.89) in three dimensions. This weight function allows for easy analysis of percolation in higher dimensions.

Original languageEnglish
Pages (from-to)6356-6357
Number of pages2
JournalPhysical Review B
Volume29
Issue number11
DOIs
StatePublished - 1984
Externally publishedYes

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