2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38902The 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. In both phases clusters of like spins are observed with irregular boundaries. In the ordered phase the two different non-favored spins are found to attract each other with a long but finite range. As a result, the neighborhoods of the non-favored spins are interpreted as domains of the disordered phase. This explains why the first-order phase transitions associated with the global \(Z_3\) symmetry, including the SU(3) pure-gauge one, are so weak.6 pages including 5 epsf figures, latex file, RIKEN-AF-NP-154High Energy Physics - LatticePhases of the three-state Potts model in three spatial dimensionstext