中国物理B ›› 2012, Vol. 21 ›› Issue (4): 45102-045102.doi: 10.1088/1674-1056/21/4/045102

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S. B. Khasare   

  • 收稿日期:2011-08-12 修回日期:2011-08-12 出版日期:2012-02-29 发布日期:2012-02-29
  • 通讯作者: S. B. Khasare,shailendrakhasare@yahoo.co.in E-mail:shailendrakhasare@yahoo.co.in

Equation of state for pure fluids at critical temperature

S. B. Khasare   

  1. Department of Physics, Science College Congress Nagar, Nagpur-440010, India
  • Received:2011-08-12 Revised:2011-08-12 Online:2012-02-29 Published:2012-02-29
  • Contact: S. B. Khasare,shailendrakhasare@yahoo.co.in E-mail:shailendrakhasare@yahoo.co.in

Abstract: In this paper, we employ the concept of probability for creating a cavity with diameter d in fluid along with the perturbation and variation approach, and develop an equation of state (EOS) for a hard sphere (HS) and Lennard-Jones (LJ) fluids. A suitable axiomatic form for surface tension S(r) is assumed for the pure fluid, with r as a variable. The function S(r) has an arbitrary parameter m. S(r)=A+B(d/r)/[1+m(d/r)]. We use the condition in terms of radial distribution function G($\lambda$d, η) containing the self-consistent parameter $\lambda$ and the condition of continuity at r=d/2 to determine A and B. A different EOS can be obtained with a suitable choice of m and the EOS has a lower root-mean-square deviation than that of Barker-Henderson BH2 for LJ fluids.

Key words: equation of state, Lenard-Jones potential, hard-sphere potential, liquid mixture

中图分类号:  (Thermodynamic properties, equations of state)

  • 51.30.+i
05.70.Ce (Thermodynamic functions and equations of state)