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化学学报
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化学学报 ›› 2009, Vol. 67 ›› Issue (4): 283-288. 上一篇    下一篇

研究论文

White流体重整化群理论的标度性质

吴 量 蔡 钧*

  

  1. (华东理工大学化学系 上海 200237)

  • 投稿日期:2008-07-09 修回日期:2008-10-15 发布日期:2009-02-28
  • 通讯作者: 蔡钧

Scaling Properties of White’s Renormalization Group Theory of Fluid

Wu, Liang Cai, Jun*

  

  1. (Department of Chemistry, East China University of Science and Technology, Shanghai 200237)
  • Received:2008-07-09 Revised:2008-10-15 Published:2009-02-28
  • Contact: Cai Jun

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平均场状态方程结合重整化群理论的方法能预测流体的临界性质以及远离临界点的热力学性质. 利用经典的参数型状态方程结合White的重整化过程计算了CO2以及多种正构烷烃(C1～C7)的汽液相平衡热力学性质, 并在此基础上讨论了真实流体在临界点附近的非对称性质. 计算结果表明, White的流体重整化群理论能够很好地预测流体的相平衡热力学性质, 但是对于临界非对称性质不能给出与标度理论相符的结果.

关键词: 重整化群理论, 平均场状态方程, 汽液相平衡, 临界非对称

The thermodynamic properties of fluid near to and far from the critical point can be described by the classic mean-field equation-of-state with a correction based on renormalization group theory of fluid developed by White. This work used the parameter equation-of-state with the White’s recursion procedure to calculate the global vapor-liquid equilibrium properties of carbon dioxide and n-alkanes. Furthermore, the asymmetric properties of real fluids in critical loci were analyzed to test the validity of White’s RG theory in the subcritical region. Though the thermodynamic properties of vapor-liquid equilibrium are well predicted by White’s RG theory of fluid, the theory does not reproduce the vapor-liquid asymmetry in fluid criticality derived from the framework of “complete scaling”.

Key words: renormalization group theory, mean-field equation of state, vapor-liquid equilibrium, critical asymmetry