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

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, $\bar{\lambda }=({\eta }_i+{\eta }_f)/2$, depends on both the initial and the final state of the quench through the respective decay exponents of equilibrium correlations, $C_{EQ}(r)\sim r^{-\eta }$. We also discuss time-dependent quenches.

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References in corpus (1)

• Growth Laws for Phase Ordering

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