On the Kirkwood superposition approximation
On the Kirkwood superposition approximation
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关于柯克伍德叠加近似
DOI：
10.1063/1.1725757
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发表时间：
1964
影响因子：
4.4
通讯作者：
L. H. Lund
中科院分区：
文献类型：
--
作者：
Russ Cochran;L. H. Lund
当分子对分布函数在Born-Green方程中使用三重态分布函数的Kirkwood叠加近似时，气体的第四维里系数给出不正确。鉴于此，本文提出了一种改进近似的建议。由于G. H. A. Cole的建议，我们研究了利用Born-Green型二阶积分微分方程和三重态和四重态分布函数的叠加近似可以得到更好的结果。对于硬球模型的结果表明，该方法对于第四维里系数的计算结果的可靠性大大低于简单地使用一阶Born-Green方程中的叠加近似所得到的结果。
When the Kirkwood superposition approximation for the triplet distribution function is used in the Born—Green equation for the molecular pair distribution function, the fourth virial coefficient of a gas is given incorrectly. In view of this, a suggestion for improving the approximation has been investigated. A suggestion, due to G. H. A. Cole, that better results could be obtained by using a second‐order integrodifferential equation of the Born—Green type with the superposition approximation used for both the triplet and quadruplet distribution functions has been investigated, and results for hard‐sphere model show that this method gives considerably less reliable results for the fourth virial coefficient than those obtained by simply using the superposition approximation in the first‐order Born—Green equation.