Numerical study of phase transitions in Potts models

A model is defined that interpolates between integer dimension and integer q-state Potts models. Phase transitions in these models are studied, and in particular the critical value ${\mathit{q}}_{\mathit{c}}$, where the phase transition changes from second to first order, is determined for several dimensions. For (d,${\mathit{q}}_{\mathit{c}}$) the values (2.0,4.05), (2.5,2.68), (3.0,2.21), (3.5,2.15), and (4.0,2.07) are obtained.