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 $\beta =0.96(2)$.

arXiv comment6 pages, 5 figures, 1 table included, Minor changes, scheduled for pubication in PRE

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Cited by in corpus (4)

• Critical behavior of an even offspringed branching and annihilating random walk cellular automaton with spatial disorder
• Crossovers from parity conserving to directed percolation universality
• Numerical analysis of the rebellious voter model
• Accuracy of the cluster-approximation method in a nonequilibrium model