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Calculation of third to eighth virial coefficients of hard lenses and hard, oblate ellipsoids of revolution employing an efficient algorithm
Physical Review E ( IF 2.2 ) Pub Date : 2021-07-19 , DOI: 10.1103/physreve.104.015308
Philipp Marienhagen 1 , Robert Hellmann 2 , Joachim Wagner 1
Affiliation  

We provide third to eighth virial coefficients of oblate, hard ellipsoids of revolution and hard lenses in dependence on their aspect ratio ν. Employing an algorithm optimized for hard anisotropic shapes, highly accurate data are accessible with comparatively small numerical effort. For both geometries, reduced virial coefficients B̃i(ν)=Bi(ν)/B2i1(ν) are in first approximation proportional to the inverse excess contribution α1 of their excluded volume. The latter quantity is directly accessible from second virial coefficients and analytically known for convex bodies.

中文翻译:

使用有效算法计算硬透镜和硬扁椭圆体的第三到第八维里系数

我们提供扁圆、硬旋转椭球和硬透镜的第三到第八维里系数,具体取决于它们的纵横比 ν. 采用针对硬各向异性形状优化的算法,可以通过相对较小的数值工作获得高精度数据。对于这两种几何形状,降低了维里系数̃(ν)=(ν)/2-1(ν) 与反超额贡献成正比 α-1他们排除的体积。后一个量可以直接从第二维里系数获得,并且在分析上对于凸体是已知的。
更新日期:2021-07-20
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