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 $z=2.04(1)$.

arXiv commentto appear as a Rapid commu. in Phys. Rev. E

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Cited by in corpus (7)

• Universality classes in nonequilibrium lattice systems
• Model A of critical dynamics: 5-loop $\epsilon$ expansion study
• Scaling Theories of Kosterlitz-Thouless Phase Transitions
• A Study of Dynamic Finite Size Scaling Behavior of the Scaling Functions-Calculation of Dynamic Critical Index of Wolff Algorithm
• Coarsening Kinetics of a Two Dimensional O(2) Ginzburg-Landau Model: Effect of Reversible Mode Coupling
• Coarsening of two dimensional XY model with Hamiltonian dynamics: Logarithmically divergent vortex mobility
• A new approach to dynamic finite-size scaling