探索强受限硬盘流体中的各向异性压力与空间关联：精确结果
Exploring anisotropic pressure and spatial correlations in strongly confined hard-disk fluids. Exact results
AI总结：
本文通过将窄通道中的硬盘系统精确映射为一维非相加硬棒混合物，解析计算了横向与纵向状态方程及结构关联函数，揭示了强受限条件下的各向异性热力学行为，并用模拟验证了结果。
摘要：
本研究考察了被限制在狭窄通道中的硬盘的横向与纵向性质。通过将系统精确映射为一个具有相等化学势的一维多分散、非相加硬棒混合物，我们计算了多种热力学性质，包括横向和纵向状态方程，以及它们在低密度和高密度下的行为。利用针对该系统高度各向异性几何结构而调整的双体关联函数和径向分布函数，分析了结构性质。所得结果得到了计算机模拟的证实。
英文摘要：
This study examines the transverse and longitudinal properties of hard disks confined in narrow channels. Employing an exact mapping of the system onto a one-dimensional polydisperse, nonadditive mixture of hard rods with equal chemical potentials, we compute various thermodynamic properties, including the transverse and longitudinal equations of state, along with their behaviors at both low and high densities. Structural properties are analyzed using the two-body correlation function and the radial distribution function, tailored for the highly anisotropic geometry of this system. The results are corroborated by computer simulations.
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