On the Order of the Phase transition in the Three-State Vector Potts Model on a Two-Dimensional Random Lattice

We performed a Monte Carlo simulation of the three-state (Q =3) vector Potts model on a 2-D random lattice. It is shown that there is a peak in the specific heat but no thermal hysterisis of the energy that corresponds to a high-order phase transition (a second-order one). The result agrees with the analytical calculation and the qualitative picture obtained for the same model on the square lattice.