论文标题
稳定硬盘和硬球体的Carnahan Starling类型状态方程
Carnahan Starling type equations of state for stable hard disk and hard sphere fluids
论文作者
论文摘要
硬球体（HS）流体的状态（EOS）[1]的著名carnahan starling（CS）方程来自病毒系数的整数部分之间的二次关系，即BN及其订单及其订单。在这里，我们将该方法扩展到一般D维情况的完整病毒系数BN。我们假设从n = 4开始的病毒系数的（d-1）阶的多项式函数，并且从其衍生出EOS。对于硬rob（d = 1）情况，获得精确的解决方案。对于稳定的硬盘流体（d = 2），最新的病毒系数直至第10 [2] [2]和准确的可压缩性数据[3,4]用于构建和测试EOS。对于稳定的硬球（d = 3）流体，使用最新的病毒系数[5,2]构建和测试了新的CS型EOS [5,2]，并具有高度准确的仿真数据，以进行可压缩性[6-8]。简单的新EOS结果与基于所有可用病毒系数的最高尺寸近似值一样准确，并且在硬球体情况下显着改善了CS型EOS。我们还表明，只要病毒系数遵守多项式函数，任何EOS都会在非物理堆积分数= 1处发散。
The well-known Carnahan-Starling (CS) equation of state (EoS) [1] for the hard sphere (HS) fluid was derived from a quadratic relation between the integer portions of the virial coefficients, Bn, and their orders, n. Here we extend the method to the full virial coefficients Bn for the general D-dimensional case. We assume a polynomial function of (D-1)th order for the virial coefficients starting from n=4 and EoS are derived from it. For the hard rob (D=1) case, the exact solution is obtained. For the stable hard disk fluid (D=2), the most recent virial coefficients up to the 10th [2] and accurate compressibility data[3,4] are employed to construct and test the EoS. For the stable hard sphere (D=3) fluid, a new CS-type EoS is constructed and tested with the most recent virial coefficients [5,2] up to the 11th and with the highly-accurate simulation data for compressibility [6-8]. The simple new EoS turn out to be as accurate as the highest-level Pade approximations based on all available virial coefficients, and significantly improve the CS-type EoS in the hard sphere case. We also shown that as long as the virial coefficients obey a polynomial function any EoS derived from it will diverge at the non-physical packing fraction=1.
