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Phase Ordering of 2D XY Systems Below T_{KT}

A. D. Rutenberg·A. J. Bray
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Abstract

We consider quenches in non-conserved two-dimensional XY systems between any two temperatures below the Kosterlitz-Thouless transition. The evolving systems are defect free at coarse-grained scales, and can be exactly treated. Correlations scale with a characteristic length $L(t) \propto t^{1/2}$ at late times. The autocorrelation decay exponent, $\barλ = (η_i+η_f)/2$, depends on both the initial and the final state of the quench through the respective decay exponents of equilibrium correlations, $C_{EQ}(r) \sim r^{-η}$. We also discuss time-dependent quenches.

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A. D. Rutenberg, A. J. Bray. 1994-11-22. Phase Ordering of 2D XY Systems Below T_{KT}. https://doi.org/10.1103/physreve.51.r1641

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