English

Dynamic Simulations of the Kosterlitz-Thouless Phase Transition

Statistical Mechanics 2009-10-31 v1 Soft Condensed Matter

Abstract

Based on the short-time dynamic scaling form, a novel dynamic approach is proposed to tackle numerically the Kosterlitz-Thouless phase transition. Taking the two-dimensional XY model as an example, the exponential divergence of the spatial correlation length, the transition temperature TKTT_{KT} and all critical exponents are computed. Compared with Monte Carlo simulations in equilibrium, we obtain data at temperatures nearer to TKTT_{KT}.

Keywords

Cite

@article{arxiv.cond-mat/9812149,
  title  = {Dynamic Simulations of the Kosterlitz-Thouless Phase Transition},
  author = {B. Zheng and M. Schulz and S. Trimper},
  journal= {arXiv preprint arXiv:cond-mat/9812149},
  year   = {2009}
}

Comments

to appear in Phys. Rev. E in Rapid Communication