Monte Carlo values for the radial distribution function of a system of fluid hard spheres

Monte Carlo values for the radial distribution function of a system of fluid hard spheres
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DOI:
10.1080/00268977100101331
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发表时间:
1971
期刊:
影响因子:
1.7
通讯作者:
J. Barker;D. Henderson
J. Barker;D. Henderson
中科院分区:
化学4区
文献类型:
--
作者:
J. Barker;D. Henderson

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在MC计算中,通过N乘以g(R)的计算值N-1来近似补偿周期盒中系统N个分子的有限尺寸似乎是相当常见的。如果读者觉得合适,他可以将我们的值乘以这个因子N= 108,得到大约大1~ o的值。我们通过假设g(R)是R中的三次多项式,将这些结果外推得到g(a)。多项式中的系数通过要求fR ~ R2 g(R)dR= R~ 3-R&I-3g(f ~)(4)来确定。
It appears to be fairly common in MC calculations to compensate approximately for the finite size of the system N molecules in the periodic box by N multiplying the computed values of g (R) by N-1" We perfer not to do this because the theoretical justification for this factor is not rigorous. If the reader feels it appropriate, he may multiply our values by this factor with N= 108 and obtain values which are about 1~ o larger. We have extrapolated these results to obtain g (a) by assuming g (R) to be a cubic polynomial in R. The coefficients in the polynomial were identified by requiring that f R~ R2g (R) dR= R~ 3---R&I-3 g (/~)(4)