Transfer-matrix approach to three-dimensional bond percolation:an application of novotny's formalism

• Nishiyama, Yoshihiro

抄録

A transfer-matrix simulation scheme for the three-dimensional (d=3) bond percolation is presented. Our scheme is based on Novotny's transfer-matrix formalism, which enables us to consider arbitrary (integral) number of sites N constituting a unit of the transfer-matrix slice even for d=3. Such an arbitrariness allows us to perform systematic finite-size-scaling analysis of the criticality at the percolation threshold. Diagonalizing the transfer matrix for N=4,5,...,10, we obtain an estimate for the correlation-length critical exponent nu=0.81(5).

収録刊行物

• Physical Review E

  Physical Review E 73 (1), 2006-01

キーワード

• size-scaling analysis
• isingmodel
• potts-model
• dimensions

詳細情報

• CRID: 1050565162439156480
• NII論文ID: 120002314101
• Web Site: https://ousar.lib.okayama-u.ac.jp/30217
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles