The universal behavior of the short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using a dynamic Monte Carlo simulation. Our simulation results of the dynamic evolutions from fully ordered initial states show that the universal scaling exists already in the short-time regime by observing the power-law behavior of the magnetization and Binder cumulant. The values estimated for the dynamic and static critical exponents, θ, β and υ, confirm explicitly that the Potts models on the triangular lattices and square lattices are belong to the same universality class. Also our work strongly suggests that the simulation for the dynamic relaxations can be used to determine the universality.
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