Ordering Kinetics of Conserved XY Models

Details Ordering Kinetics of Conserved XY Models Ordering Kinetics of Conserved XY Models

1995-03-20

arxiv.org/abs/cond-mat/9503114v1

Phys. Rev. E 52, 4699 (1995)

Physics

Condensed Matter

12 pages, latex, no figures

Scientific paper

10.1103/PhysRevE.52.4699

The zero-temperature ordering kinetics of conserved XY models in spatial dimensions $d=2$ and 3 is studied using cell dynamical simulations. The growth of the characteristic length scale $L(t)$ is fully consistent with recent theoretical predictions: $L(t) \sim t^{1/4}$ for $d=2$ and $L(t) \sim (t\ln t)^{1/4}$ for $d=3$. A gaussian closure approximation describes the form of the structure factor rather well for $d=3$.

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