摘要翻译：
应用有限格方法的改进算法，将二维XY模型的高温自由能级数从原来的$β22阶扩展到$β48阶。得到的长级数使我们可以得出结论，当模型的相变为Kosterlitz-Thouless型时，自由能的行为与预期的一致。
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英文标题：
《High-Temperature Expansion of the Free Energy in the Two-Dimensional XY
  Model》
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作者：
Hiroaki Arisue
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We extend the high-temperature series of the free energy for the XY model in two dimensions to order $\beta^{48}$ from the previous order of $\beta^{22}$ by applying the improved algorithm of the finite lattice method. The long series obtained enables us to conclude that the behavior of the free energy is consistent in high accuracy with what is expected when the phase transition of the model is of the Kosterlitz-Thouless type .
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PDF链接：
https://arxiv.org/pdf/708.4084