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

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