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

Abstract

The critical scaling and universality in the short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using a Monte Carlo simulation. Emphasis is placed on the dynamic evolutions from fully 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 critical exponents, θ, z, β and ν, confirm explicitly that the Potts models on the triangular lattice and square lattice belong to the same universality classes. Our critical scaling analysis strongly suggests that the simulation for the dynamic relaxations can be used to determine the universality.