Novel position-space renormalization group for bond directed percolation in two dimensions

Hüseyin Kaya and Ayşe Erzan

Physica A: Statistical Mechanics and its Applications, 1999, vol. 265, issue 1, 53-61

Abstract: A new position-space renormalization group approach is investigated for bond directed percolation in two dimensions. The threshold value for the bond occupation probabilities is found to be pc=0.6443. Correlation length exponents on time (parallel) and space (transverse) directions are found to be ν∥=1.719 and ν⊥=1.076, respectively, which are in very good agreement with the best-known series expansion results.

Keywords: Dynamical RG; Directed percolation; Critical exponents (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:265:y:1999:i:1:p:53-61

DOI: 10.1016/S0378-4371(98)00558-5

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