Universality in a generalised Potts model

A three-state Potts model with pure three-site interactions is analysed using low-temperature series expansions. Universality predicts that the exponents alpha ' and beta should be the same as for the 'hard-hexagons' lattice gas: 1/3 and 1/9 respectively. The series estimates are consistent with these predictions, and the estimates of gamma ' are consistent with the scaling value of 14/9.