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 $p_c=0.6443$. Correlation length exponents on time (parallel) and space (transverse) directions are found to be $��_\parallel=1.719$ and $��_\perp=1.076$, respectively, which are in very good agreement with the best known series expansion results.Latex - Revtex, 5 pages with 6 figures, to be appeared in Physica A