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Extension of Compressibility-Route Cubic Equations of State and the Radial Distribution Functions at Contact to Multi-Component Hard-Sphere Mixtures

Extension of Compressibility-Route Cubic Equations of State and the Radial Distribution Functions at Contact to Multi-Component Hard-Sphere Mixtures
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摘要 The equation of state(EOS) for hard-sphere fluid derived from compressibility routes of Percus-Yevick theory(PYC) is extended. The two parameters are determined by fitting well-known virial coefficients of pure fluid.The extended cubic EOS can be directly extended to multi-component mixtures, merely demanding the EOS of mixtures also is cubic and combining two physical conditions for the radial distribution functions at contact(RDFC) of mixtures.The calculated virial coefficients of pure fluid and predicted compressibility factors and RDFC for both pure fluid and mixtures are excellent as compared with the simulation data. The values of RDFC for mixtures with extremely large size ratio 10 are far better than the BGHLL expressions in literature. The equation of state(EOS) for hard-sphere fluid derived from compressibility routes of Percus-Yevick theory(PYC) is extended. The two parameters are determined by fitting well-known virial coefficients of pure fluid.The extended cubic EOS can be directly extended to multi-component mixtures, merely demanding the EOS of mixtures also is cubic and combining two physical conditions for the radial distribution functions at contact(RDFC) of mixtures.The calculated virial coefficients of pure fluid and predicted compressibility factors and RDFC for both pure fluid and mixtures are excellent as compared with the simulation data. The values of RDFC for mixtures with extremely large size ratio 10 are far better than the BGHLL expressions in literature.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第8期290-296,共7页 理论物理通讯(英文版)
基金 Supported by the Science and Technology Foundation of State Key Laboratory for Shock Wave and Detonation Physics under Grant No.9140C670103120C6702 the Program for Excellent Talents of Sichuan Province of China under Grant No.2011JQ0053 University Electronic Science and Technology of China under Grant No.23601008
关键词 CUBIC equation of state radial distribution functions at contact hard SPHERE FLUIDS mixtures multi-components cubic equation of state radial distribution functions at contact hard sphere fluids mixtures multi-components
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参考文献4

  • 1Jiu-Xun Sun,Qiang Wu,Ling-Cang Cai,Ke Jin.Universal cubic equation of state and contact values of the radial distribution functions for multi-component additive hard-sphere mixtures[J].Molecular Physics.2013(21)
  • 2Douglas Henderson,Andrij Trokhymchuk,Leslie V. Woodcock,Kwong-Yu Chan.Simulation and approximate formulae for the radial distribution functions of highly asymmetric hard sphere mixtures[J].Molecular Physics.2005(5)
  • 3A. Santos,S. B. Yuste,M. Lopez De Haro.Virial coefficients and equations of state for mixtures of hard discs, hard spheres and hard hyperspheres[J].Molecular Physics.2001(23)
  • 4DAPENG CAO,KWONG-YU CHAN,DOUGLAS HENDERSON,WENCHUAN WANG.Monte Carlo data of dilute solutions of large spheres in binary hard sphere mixtures[J].Molecular Physics.2000(9)

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