Corrections to Scaling for the Two-dimensional Dynamic XY Model

Abstract

With large-scale Monte Carlo simulations, we confirm that for the two-dimensional XY model, there is a logarithmic correction to scaling in the dynamic relaxation starting from a completely disordered state, while only an inverse power law correction in the case of starting from an ordered state. The dynamic exponent $z$ is $z=2.04(1)$.

to appear as a Rapid commu. in Phys. Rev. E