硬球物态方程的一个分支点近似
A branch-point approximant for the equation of state of hard spheres
摘要：
利用已知的前七个维里系数，强迫它具有两个分支点奇点，提出了一个新的硬球流体状态方程。该状态方程预测了高阶维里系数的精确值，收敛半径小于密堆积值，与重标维里展开式一样精确，优于Padé [3/3]状态方程。关于维里级数的收敛性质和使用类似的状态方程的硬核流体在$d$尺寸的后果也指出。
英文摘要：
Using the first seven known virial coefficients and forcing it to possess two branch-point singularities, a new equation of state for the hard-sphere fluid is proposed. This equation of state predicts accurate values of the higher virial coefficients, a radius of convergence smaller than the close-packing value, and it is as accurate as the rescaled virial expansion and better than the Padé [3/3] equations of state. Consequences regarding the convergence properties of the virial series and the use of similar equations of state for hard-core fluids in $d$ dimensions are also pointed out.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
