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Virial Expansion Providing of the Linearity for a Unit Compressibility Factor

机译:单位膨胀系数线性的维里展开式

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We show that the law of linearity for a unit compressibility factor testifying a lot of experimental data for many substances can be provided by appropriate procedure following from the rigorous consequences of statistical mechanics,namely,the virial expansion.An equation of state that includes the terms up to the fourth power of density is obtained by using second and third virial coefficients.The critical point parameters,phase densities,and pressure along the liquid-gas coexistence curve for the Lennard-Jones(6~ 12)(LJ)and Buckingham(exp6)potentials are defined.The results corresponding to the LJ potentials are in good agreement with the solution of integral equations and simulation results.For the Buckingham potentials,our predictions agree well with the experimental data for the group of real substances,satisfying the law of corresponding states.
机译:我们证明,根据统计力学的严格后果,即病毒膨胀,可以通过适当的程序来提供证明许多物质的大量实验数据的单位可压缩因子的线性定律。状态方程包括以下项通过使用第二和第三维里系数获得密度的四次方。Lennard-Jones(6〜12)(LJ)和Buckingham(6)的临界点参数,相密度和沿液-气共存曲线的压力定义了电势。与LJ电势相对应的结果与积分方程和模拟结果的解非常吻合。对于白金汉电势,我们的预测与一组真实物质的实验数据吻合良好,满足规律。的相应状态。

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