A Monte Carlo study for the universality in short-time critical dynamics

We have studied the finite size scaling and universality of the spin models on the two-dimensional triangle lattice by using the Monte Carlo simulations for the short-time critical dynamics. Our investigation shows that the power-law behavior of the magnetization, the second magnetic moment and the auto-correlation, as well as their finite size scaling relations, can be used to estimate the critical exponents theta, z and beta/v. The results of theta = 0.191(2), z = 2.153(2) and 2 beta/v = 0.252(2) for Ising model, and theta = 0.076(1), z = 2.191(1) and 2 beta/v = 0.266(2) for Potts model are identical with those for the corresponding models on the square lattice. So the universality proposal in the short-time critical dynamics is verified numerically.