SCALING EXPONENT FOR 3-STATE POTTS MODEL ON 3-DIMENSIONAL RANDOM TRIANGLE LATTICE

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