Using an optimal Monte Carlo renormalization group method, the scaling exponent for six-state Potts model on 2-dimensional random triangle lattice is studied. The scaling exponent , is consistent with the expectant value of the scaling theory.
We have found using the dynamic Monte Carlo renormalization-group method that the dynamic critical exponent z for the three-state Potts model on a square lattice has the value 2.7\ifmmode\pm\else\textpm\fi{}0.4.
Monte Carlo results are presented for a variety of one-dimensional dynamical q-state Potts models. Our calculations confirm the expected universal value z=2 for the dynamic scaling exponent. Our results also indicate that an increase in q at fixed correlation length drives the dynamics into the scaling regime
The thermal critical exponent of the four-state Potts model in two dimensions is evaluated as ${\ensuremath{\nu}}^{\ensuremath{-}1}=1.49\ifmmode\pm\else\textpm\fi{}0.01$, using the Monte Carlo renormalization-group method. The presence of a marginal scaling direction is also indicated. These results confirm previous conjectures, universality, and logarithmic corrections. A purely Potts Hamiltonian is considered. A four-point interaction is used to control the chemical potential of effective vacancies, without the introduction of explicit vacancy states.