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

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

1994-11-22

arxiv.org/abs/cond-mat/9411093v1

Phys. Rev. E vol. 51, p. R1641 (1995)

Physics

Condensed Matter

LATeX 11 pages (REVTeX macros), no figures

Scientific paper

10.1103/PhysRevE.51.R1641

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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