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 ν=0.81(5).
Original language | English |
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Article number | 016114 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 73 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2006 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics