Dynamical scaling in the Q-state Potts model

The role of ground-state degeneracy on the kinetics of domain growth is studied via a Monte Carlo simulation. The scaling of the structure factor, the spin-spin correlation function, and the interface-interface correlation function is investigated for the Q-state Potts model for Q=2 and Q=8. The order-parameter–order-parameter correlation function for Q=2 and Q=8 are found to satisfy scaling and to have the same scaling functions. However, the scaling regime for the Q=8 model occurs at a later time for Q=8 as compared to Q=2. Thus, for Q=8 at earlier times, scaling the correlation function with the characteristic length scale leads to a time-dependent scaling function. We have also obtained corrections to Porod’s law for the structure factor. Our results are in excellent agreement with earlier theories.