English

Novel Position-Space Renormalization Group for Bond Directed Percolation in Two Dimensions

Statistical Mechanics 2015-06-25 v3

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=0.6443p_c=0.6443. Correlation length exponents on time (parallel) and space (transverse) directions are found to be ν=1.719\nu_\parallel=1.719 and ν=1.076\nu_\perp=1.076, respectively, which are in very good agreement with the best known series expansion results.

Keywords

Cite

@article{arxiv.cond-mat/9810135,
  title  = {Novel Position-Space Renormalization Group for Bond Directed Percolation in Two Dimensions},
  author = {H. Kaya and A. Erzan},
  journal= {arXiv preprint arXiv:cond-mat/9810135},
  year   = {2015}
}

Comments

Latex - Revtex, 5 pages with 6 figures, to be appeared in Physica A

R2 v1 2026-07-22T12:07:05.326Z