Multi-Spin Coding of the Monte Carlo Simulation of the Three-State Random Potts Model and the Block-Spin Transformation

Details Multi-Spin Coding of the Monte Carlo Simulation of the Three-State Random Potts Model and the Block-Spin Transformation Multi-Spin Coding of the Monte Carlo Simulation of the Three-State Random Potts Model and the Block-Spin Transformation

1996-01-29

arxiv.org/abs/cond-mat/9601140v1

Physics

Condensed Matter

16 pages; Figures are available at http://glimmung.phys.sci.osaka-u.ac.jp/kikuchi/preprints.html or they will be sent upon r

Scientific paper

The multi-spin coding of the Monte Carlo simulation of the three-state Potts model on the simple cubic lattice is presented. The ferromagnetic (F) model, the antiferromagnetic (AF) model, and the random mixture of the F and AF couplings are treated. The multi-spin coding technique is also applied to the block-spin transformation. The block-spin transformation of the F Potts model is simply realized by the majority rule, whereas the AF three-state Potts model is transformed to the block spin having a six-fold symmetry.

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