On the basis of the latest advances in Mayer's cluster-based approach, the reduced forms of the well-known virial expansions are derived in terms of scaled reducible and irreducible cluster integrals. This transformation minimizes the dependence on temperature and the effect of parameters specific for each thermodynamic system, thus making the resulting reduced expansions indeed universal on the quantitative level. In particular, the scaling of isotherms and saturation curves for various systems (the Lennard-Jones model, different lattice gases, and real substances with simple nonpolar molecules as well as complex polar ones) confirms the approximate universality of the proposed reduced variables for temperature, pressure, and density at subcritical gaseous states up to the saturation point. In addition, the temperature dependence of the correspondingly scaled second virial coefficients also appears similar for various systems.

中文翻译：

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真实物质和模型流体的亚临界行为的某些普遍性

基于Mayer基于聚类的方法的最新进展，众所周知的病毒式扩展的简化形式是根据可缩放的和不可归约的聚类积分得出的。这种转换将对温度的依赖性以及每个热力学系统特有的参数的影响降到最低，从而使得由此产生的减小的膨胀确实在定量水平上通用。特别是，对于各种系统（Lennard-Jones模型，不同的晶格气体以及具有简单非极性分子和复杂极性分子的真实物质）的等温线和饱和度曲线的缩放比例，证实了拟议的温度降低变量的近似通用性，亚临界气态直至饱和点的压力和密度。此外，