Large scale numerical simulation of the three-state Potts model

Details Large scale numerical simulation of the three-state Potts model Large scale numerical simulation of the three-state Potts model

1992-12-21

arxiv.org/abs/hep-lat/9212028v1

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages (latex file and 3 eps figure files, needs espcrc2 and epsf styles), RIKEN-AF-NP-145

Scientific paper

10.1016/0920-5632(93)90339-8

The three-state Potts model is numerically investigated on three-dimensional simple cubic lattices of up to \(128^3\) volume, concentrating on the neighborhood of the first-order phase transition separating the ordered and disordered phases. The ordered phase is found to allow admixture of disordered domains induced by a long-range attraction acting between the two different non-favored spins. This phenomenon gives an explanation of why the first-order phase transitions associated with the global \(Z_3\) symmetry are so weak. (Talk given at the International Symposium "Lattice 92" in Amsterdam, September 15-19, 1992)

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