Cluster mean-field study of the parity conserving phase transition

Abstract

The phase transition of the even offspringed branching and annihilating random walk is studied by N-cluster mean-field approximations on one-dimensional lattices. By allowing to reach zero branching rate a phase transition can be seen for any N <= 12.The coherent anomaly extrapolations applied for the series of approximations results in ${\nu }_{\perp }=1.85(3)$ and $\beta =0.96(2)$.

6 pages, 5 figures, 1 table included, Minor changes, scheduled for pubication in PRE