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Cluster mean-field study of the parity conserving phase transition

Geza Odor·Attila Szolnoki
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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 $ν_{\perp}=1.85(3)$ and $β=0.96(2)$.

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Geza Odor, Attila Szolnoki. 2005-05-02. Cluster mean-field study of the parity conserving phase transition. https://doi.org/10.1103/physreve.71.066128

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