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arXiv 1108.6166cond-mat.softcond-mat.stat-mech
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三元非加性硬球混合物的密度泛函

Density functional for ternary non-additive hard sphere mixtures

Matthias Schmidt

摘要:

基于基本测度理论,构造了具有一般非加性相互作用距离的三组分硬球混合物的Helmholtz自由能量密度泛函.的功能构成了一个推广的二元非添加剂混合物的先前给出的理论。这两个泛函中的空间积分的图解结构是星形(或树形)拓扑。三元图比二元图具有更高的复杂性。通过Ornstein-Zernike途径从过量自由能泛函的二阶导数得到的部分对关联函数的结果与蒙特卡罗模拟数据吻合得很好。

英文摘要:

Based on fundamental measure theory, a Helmholtz free energy density functional for three-component mixtures of hard spheres with general, non-additive interaction distances is constructed. The functional constitutes a generalization of the previously given theory for binary non-additive mixtures. The diagrammatic structure of the spatial integrals in both functionals is of star-like (or tree-like) topology. The ternary diagrams possess a higher degree of complexity than the binary diagrams. Results for partial pair correlation functions, obtained via the Ornstein-Zernike route from the second functional derivatives of the excess free energy functional, agree well with Monte Carlo simulation data.

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