Novel Position-Space Renormalization Group for Bond Directed Percolation in Two Dimensions

Abstract

A new position-space renormalization group approach is investigated for bond directed percolation in two dimensions. The threshold value for the bond occupation probabilities is found to be pc=0.6443. Correlation length exponents on time (parallel) and space (transverse) directions are found to be =1.719 and =1.076, respectively, which are in very good agreement with the best known series expansion results.

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