Cluster mean-field study of the parity conserving phase transition

Details Cluster mean-field study of the parity conserving phase transition Cluster mean-field study of the parity conserving phase transition

2005-02-03

arxiv.org/abs/cond-mat/0502097v2

Phys. Rev. E 71 (2005) 066128

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.71.066128

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 $\beta=0.96(2)$.

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