• DOI:10.1051/JPHYS:0198500460100162300
• Corpus ID: 8289499

Corrections to scaling and phenomenological renormalization for 2-dimensional percolation and lattice animal problems

@article{Derrida1985CorrectionsTS,
  title={Corrections to scaling and phenomenological renormalization for 2-dimensional percolation and lattice animal problems},
  author={Bernard Derrida and Dietrich Stauffer},
  journal={Journal De Physique},
  year={1985},
  volume={46},
  pages={1623-1630}
}

• B. Derrida, D. Stauffer
• Published 1 October 1985
• Physics
• Journal De Physique

We continue and improve the transfer matrix approach of Derrida and de Seze by incorporating in two different ways the leading corrections to the asymptotic behaviour for wide strips. We find for the site percolation threshold in the square lattice p c =0.59274±0.00010, for the radius exponent of lattice animals 0.64075±0.00015, and for the inverse growth factor or critical fugacity 0.246150±0.000010 in the square lattice and 0.192925±0.000010 in the triangular lattice. These results are consistent with, and sometimes more accurate than, the best estimates published before Nous continuons et ameliorons l'approche par matrice de transfert de Derrida et de Seze en tenant compte de deux manieres differentes de la correction dominante. Nous obtenons pour le seuil de percolation de site sur le reseau carre p c =0,59274±0,00010, pour l'exposant qui caracterise la taille des animaux 0,64075±0,00015 et pour la fugacite critique 0,246150±0,000010 sur le reseau carre et 0,192925±0,000010 sur le reseau triangulaire. Ces resultats sont en accord, et parfois plus precis, que les meilleures estimations connues