Improvement on the Carnahan-Starling Equation of State for Hard-sphere Fluids  

关于硬球流体的Carnahan—Starling状态方程的改进

作　　者：王先智[1] 马红儒[1] 

机构地区：[1]上海交通大学物理系,上海200240

出　　处：《Chinese Journal of Chemical Physics》2010年第6期675-679,745,共6页化学物理学报（英文）

摘　　要：Making use of Weierstrass＇s theorem and Chebyshev＇s theorem and referring to the equations of state of the scaled-particle theory and the Pereus-Yevick integration equation, we demonstrate 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.

关 键 词：Hard-sphere fluid Virial coefficient Carnahan-Starling equation of state 

分 类 号：O[理学]