New analytical and numerical results on virial coefficients for 2-D hard convex bodies
New analytical and numerical results on virial coefficients for 2-D hard convex bodies
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二维硬凸体维里系数的新分析和数值结果
DOI：
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发表时间：
1991
期刊：
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通讯作者：
J. Talbot
中科院分区：
文献类型：
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作者：
G. Tarjus;P. Viot;S. Ricci;J. Talbot
我们提出了新的Monte Carlo计算的第三和第四维里系数的各向同性系统的不同的二维硬凸体：椭圆，矩形和spherecylinders为各种纵横比，针。我们的结果与以前公布的值有很大不同。我们的Monte Carlo方法的准确性进行了测试，通过与精确值的B 3的不对齐的硬针，我们已经得到了分析比较。最后，对一些近似状态方程的有效性进行了研究。
We present new Monte Carlo calculations of the third and fourth virial coefficients for isotropic systems of different two-dimensional hard convex bodies: ellipses, rectangles and spherocylinders for various aspect ratios, and needles. Our results differ significantly from previously published values. The accuracy of our Monte Carlo method is tested by comparison with the exact value of B 3 for unaligned hard needles, which we have obtained analytically. Finally, the validity of some approximate equations of state is investigated.