Dynamic Simulations of the Kosterlitz-Thouless Phase Transition

Details Dynamic Simulations of the Kosterlitz-Thouless Phase Transition Dynamic Simulations of the Kosterlitz-Thouless Phase Transition

1998-12-09

arxiv.org/abs/cond-mat/9812149v1

Phys. Rev. E59 (1999) R1351

Physics

Condensed Matter

Statistical Mechanics

to appear in Phys. Rev. E in Rapid Communication

Scientific paper

10.1103/PhysRevE.59.R1351

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 $T_{KT}$ and all critical exponents are computed. Compared with Monte Carlo simulations in equilibrium, we obtain data at temperatures nearer to $T_{KT}$.

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