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ID 30217
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Author
Nishiyama, Yoshihiro Kaken ID publons researchmap
Abstract

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).

Keywords
size-scaling analysis
isingmodel
potts-model
dimensions
Note
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
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Copyright © 2006 The American Physical Society. All rights reserved.
Published Date
2006-1
Publication Title
Physical Review E
Volume
volume73
Issue
issue1
Content Type
Journal Article
language
英語
Refereed
True
DOI
Web of Science KeyUT
Submission Path
electricity_and_magnetism/179