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Multi-Spin Coding Of The Monte Carlo Simulation Of The Three-State Random Potts Model And The Block-Spin Transformation

Author

Listed:
  • MACOTO KIKUCHI

    (Department of Physics, Osaka University, Toyonaka 560, Japan)

  • YUTAKA OKABE

    (Department of Physics, Tokyo Metropolitan University, Tokyo 192-03, Japan)

Abstract

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 multispin 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.

Suggested Citation

  • Macoto Kikuchi & Yutaka Okabe, 1995. "Multi-Spin Coding Of The Monte Carlo Simulation Of The Three-State Random Potts Model And The Block-Spin Transformation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 6(06), pages 747-763.
    • Handle: RePEc:wsi:ijmpcx:v:06:y:1995:i:06:n:s0129183195000617
    DOI: 10.1142/S0129183195000617
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