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ID 30217
フルテキストURL
著者
Nishiyama, Yoshihiro Okayama University Kaken ID publons researchmap
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).

キーワード
size-scaling analysis
isingmodel
potts-model
dimensions
備考
Digital Object Identifer:10.1103/PhysRevE.73.016114
Published with permission from the copyright holder. This is the institute's copy, as published in Physical Review E, January 2006, Volume 73, Issue 1, Pages 6.
Publisher URL:http://dx.doi.org/10.1103/PhysRevE.73.016114
Direct access to Thomson Web of Science record
Copyright © 2006 The American Physical Society. All rights reserved.
発行日
2006-1
出版物タイトル
Physical Review E
73巻
1号
資料タイプ
学術雑誌論文
言語
English
査読
有り
DOI
Web of Science KeyUT
Submission Path
electricity_and_magnetism/179