诱导表面张力和曲率张力的概念及硬盘和硬球气体的统一描述
The concept of induced surface and curvature tensions and a unified description of the gas of hard discs and hard spheres
摘要：
本文用诱导表面张力和曲率张力方法严格推导了强子物质状态方程。这样的状态方程允许人们超越硬球相互作用势的范德华近似。单组分和双组分强子混合物的可压缩性被发现的二维和三维的情况下。所得到的结果进行比较，众所周知的一个和两个组件的状态方程的硬球和硬盘。通过对压缩因子的拟合，确定了在不同的填充分数区间上成功地再现上述状态方程的模型参数值。有人认为，经过一些修改后，开发的方法也可以用来描述不同尺寸和形状的凸形硬颗粒的气体的混合物。
英文摘要：
Mathematically rigorous derivation of the hadron matter equation of state within the induced surface and curvature tensions approach is worked out. Such an equation of state allows one to go beyond the Van der Waals approximation for the interaction potential of hard spheres. The compressibility of a single- and two-component hadron mixtures are found for two- and three-dimensional cases. The obtained results are compared to the well known one- and two-component equations of state of hard spheres and hard discs. The values of the model parameters which successfully reproduce the above-mentioned equations of state on different intervals of packing fractions are determined from fitting their compressibility factors. It is argued that after some modification the developed approach can be also used to describe the mixtures of gases of convex hard particles of different sizes and shapes.
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