The free energy and the equation of state of a hard-sphere system for homogeneous stable and metastable phases

被引:0
作者
P. N. Nikolaev
机构
[1] Moscow State University,Department of Quantum Statistics and Field Theory, Faculty of Physics
来源
Moscow University Physics Bulletin | 2011年 / 66卷
关键词
equations of state; freezing; phase transition;
D O I
暂无
中图分类号
学科分类号
摘要
A new free energy equation is deduced; it serves as a basis for the derivation of an equation for the homogeneous phase of a hard-sphere system. It exactly reproduces all the known virial coefficients and agrees with the molecular dynamics data within their accuracy. The absence of singular points during transition from the stable region to the metastable region is shown. According to the properties of the statistical integral, the free energy and the equation of state have a singularity at close packing.
引用
收藏
页码:207 / 211
页数:4
相关论文
共 37 条
  • [1] Clisby N.(2006)undefined J. Stat. Phys. 122 15-undefined
  • [2] McCoy B. M.(1993)undefined J. Phys. A: Math. 26 4805-undefined
  • [3] van Rensburg E. J. J.(1964)undefined I. Chem. Phys. 40 939-undefined
  • [4] Ree F. H.(1967)undefined J. Chem. Phys. 46 4181-undefined
  • [5] Hoover W. G.(1936)undefined Phys. Rev. 50 955-undefined
  • [6] Ree F. H.(1957)undefined J. Chem. Phys. 27 1207-undefined
  • [7] Hoover W. G.(1957)undefined J. Chem. Phys. 27 1208-undefined
  • [8] Tonks L.(2007)undefined J. Chem. Phys. 126 164508-undefined
  • [9] Wood W. W.(2005)undefined Phys. Rev. E 72 031402-undefined
  • [10] Jacobson J. D.(1992)undefined J. Chem. Phys. 94 551-undefined