关于硬球流体的Carnahan-Starling状态方程的改进 |
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引用本文: | Xian-zhi Wang,Hong-ru Ma. 关于硬球流体的Carnahan-Starling状态方程的改进[J]. 化学物理学报, 2010, 23(6): 675-679 |
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作者姓名: | Xian-zhi Wang Hong-ru Ma |
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作者单位: | 上海交通大学物理系,上海200240;上海交通大学物理系,上海200240 |
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摘 要: | 使用Weierstrass和Chebyshev定理, 并参考标度粒子理论和Percus-Yevick积分方程理论的状态方程,证明硬球流体存在一个多项式序列,致使其状态方程由该序列的极限给出. 获得了从三阶到八阶的最佳多项式,这样Carnahan-Starling方程可以逐级改进. 得到的状态方程和在稳定和亚稳定流体分支上的模拟结果符合得很好.
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关 键 词: | 硬球流体,维里系数,Carnahan-Starling状态方程 |
收稿时间: | 2010-09-12 |
Improvement on the Carnahan-Starling Equation of State for Hard-sphere Fluids |
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Affiliation: | Institute for Theoretical Physics, Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China;Institute for Theoretical Physics, Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China |
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Abstract: | Making use ofWeierstrass's theorem and Chebyshev's theorem and referring to the equations of state of the scaled-particle theory and the Percus-Yevick integration equation, we demon-strate that there exists a sequence of polynomials such that the equation of state is given by the limit of the sequence of polynomials. The polynomials of the best approximation from the third order up to the eighth order are obtained so that the Carnahan-Starling equation can be improved successively. The resulting equations of state are in good agreement with the simulation results on the stable fluid branch and on the metastable fluid branch. |
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Keywords: | Hard-sphere fluid Virial coefficient Carnahan-Starling equation of state |
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