Scaling exponent for 3-state Potts model on 3-dimensional random triangle lattice

Abstract

An optimal Monte Carlo renormalization group method is applied to 3-state Potts model on 3-dimensional random triangle lattice. The scaling exponent ν of the first order phase transition of this model has been obtained. In the disorder phase ν = 0.369(±0.044), yT = 1/ν = 2.71(±0.32), in the order phase ν = 0.393(±0.048), yT = 2.54(±0.31). They approximate to the prediction of the scaling theory.