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Unusual changeover in the transition nature of local-interaction Potts models

Unusual changeover in the transition nature of local-interaction Potts models

A combinatorial approach is used to study the critical behavior of a $q$-state Potts model with a round-the-face interaction. Using this approach, it is shown that the model exhibits a first order transition for $q>3$. A second order transition is numerically detected for $q=2$. Based on these findings, it is …