摘要翻译：
我们使用由三维($d=3$)和标量序参量($n=1$)的大质量重整化格式的有界结果估计的平均交叉函数[Garrabos和Bervillier,Phys Rev.E 74,021113(2006)]和标量序参量[Bagnuls和Bervillier,Phys Rev.E 65,066132(2002)],来表示在齐次前渐近域中氙的等温压缩性沿临界等差线的奇异性。讨论了交叉描述的有效性范围和Ising性质，并用单个标度因子进行了讨论，该标度因子的值可以在类Ising前渐近域之外进行解析估计。
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英文标题：
《Analytic application of the mean crossover function to the description
  of the isothermal compressibility of xenon》
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作者：
Yves Garrabos (ICMCB), Carole Lecoutre-Chabot (ICMCB), Fabien Palencia
  (ICMCB)
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最新提交年份：
2007
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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 use the mean crossover functions [Garrabos and Bervillier, Phys Rev. E 74, 021113 (2006)] estimated from the bounded results of the Massive Renormalization scheme applied to the $\Phi_{d}^{4}(n)$ model in three dimensions ($d=3$) and scalar order parameter ($n=1$) [Bagnuls and Bervillier, Phys. Rev. E 65, 066132 (2002)], to represent the singular behavior of the isothermal compressibility of xenon along the critical isochore in the homogeneous preasymptotic domain. The validity range and the Ising nature of the crossover description are discussed in terms of a single scale factor whose value can be analytically estimated beyond the Ising-like preasymptotic domain.
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PDF链接：
https://arxiv.org/pdf/707.3889