MULTI-SPIN CODING OF THE MONTE CARLO SIMULATION OF THE THREE-STATE RANDOM POTTS MODEL AND THE BLOCK-SPIN TRANSFORMATION

Macoto Kikuchi () and Yutaka Okabe ()
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Macoto Kikuchi: Department of Physics, Osaka University, Toyonaka 560, Japan
Yutaka Okabe: Department of Physics, Tokyo Metropolitan University, Tokyo 192-03, Japan

International Journal of Modern Physics C (IJMPC), 1995, vol. 06, issue 06, 747-763

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.

Keywords: Multi-Spin Coding; Potts Model; Block-Spin Transformation (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1142/S0129183195000617

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