Short-time critical dynamics and universality on a two-dimensional triangular lattice

The critical scaling and universality in the short-time dynamics for spin m odels on a two-dimensional triangular lattice are investigated by using a M onte Carlo simulation. Emphasis is placed on the dynamic evolutions from fu lly ordered initial states to show that universal scaling exists already in the short-time regime in forms of power-law behavior of the magnetizations and Binder cumulant. The results estimated for the dynamic and static crit ical exponents, theta, z, beta and v, confirm explicitly that the Potts mod els on the triangular lattice and square lattice belong to the same univers ality classes. Our critical scaling analysis strongly suggests that the sim ulation for the dynamic relaxations can be used to determine the universali ty. (C) 2001 Elsevier Science B.V. All rights reserved.