Corrections to Scaling for the Two-dimensional Dynamic XY Model

Details Corrections to Scaling for the Two-dimensional Dynamic XY Model Corrections to Scaling for the Two-dimensional Dynamic XY Model

2001-03-05

arxiv.org/abs/cond-mat/0103115v1

Phys. Rev. E 63, R35101 (2001)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.63.035101

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 $z=2.04(1)$.

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