论文标题
硬盘的标准尺寸系统的分析规范分区功能
Analytical canonical partition function of a quasi-one dimensional system of hard disks
论文作者
论文摘要
硬盘系统在狭窄的准长孔中具有给定长度和宽度的精确规范分区功能在热力学极限下分析得出。结果，许多身体问题减少为解决两个可以在数值上很容易完成的先验方程。整个密度范围内的纵向和横向压力均以三种不同的孔隙宽度提出。发现从固体曲折到液态状态的过渡在密度尺度上非常清晰，但没有真正的奇异性。该过渡是通过曲折窗户的分布来定量描述的，曲折的窗户通过该窗口在整个孔中交换了其位置。
The exact canonical partition function of a hard disk system in a narrow quasi-one dimensional pore of given length and width is derived analytically in the thermodynamic limit. As a result the many body problem is reduced to solving two transcendental equations which can be easily done numerically. The longitudinal and transverse pressures in the whole density range are presented for three different pore widths. The transition from the solidlike zigzag to the liquidlike state is found to be quite sharp in the density scale but shows no genuine singularity. This transition is quantitatively described by the distribution of zigzag's windows through which disks exchange their positions across the pore.
