Cluster mean-field study of the parity-conserving phase transition.
The phase transition of the branching and annihilating random walk with even offspring is studied by N-cluster mean-field approximations on one-dimensional lattices. By allowing the system to reach zero branching rate a phase transition can be seen for any N < or = 12. Coherent anomaly extrapolations applied for the series of approximations results in nu(perpendicular) = 1.85(3) and beta=0.96(2).
Odor
Géza
G
Research Institute for Technical Physics and Materials Science, H-1525 Budapest, P.O. Box 49, Hungary.
Szolnoki
Attila
A