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- W71402162 abstract "Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY model (i.e., the anisotropic limit of an easy-plane Heisenberg ferromagnet), on square lattices of size up to ${192}^{2}$, for several temperatures below, at, and above ${mathit{T}}_{mathrm{KT}}$. The temporal evolution of spin configurations was determined numerically from coupled equations of motion for individual spins by a fourth-order predictor-corrector method, with initial spin configurations generated by a hybrid Monte Carlo algorithm. The neutron-scattering function S(q,ensuremath{omega}) was calculated from the resultant space-time displaced spin-spin correlation function. Pronounced spin-wave peaks were found both in the in-plane and the out-of-plane scattering function over a wide range of temperatures. The in-plane scattering function ${mathit{S}}^{mathit{xx}}$ also has a large number of clear but weak additional peaks, which we interpret to come from two-spin-wave scattering. In addition, we observed a small central peak in ${mathit{S}}^{mathit{xx}}$, even at temperatures well below the phase transition. We used dynamic finite-size scaling theory to extract the dynamic critical exponent z. We find z=1.00(4) for all Tensuremath{le}${mathit{T}}_{mathrm{KT}}$, in excellent agreement with theoretical predictions, although the shape of S(q,ensuremath{omega}) is not well described by current theory. textcopyright{} 1996 The American Physical Society." @default.
- W71402162 created "2016-06-24" @default.
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- W71402162 date "1996-11-01" @default.
- W71402162 modified "2023-09-25" @default.
- W71402162 title "Critical dynamics in the two-dimensional classical<i>XY</i>model: A spin-dynamics study" @default.
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- W71402162 doi "https://doi.org/10.1103/physrevb.54.12302" @default.
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