• Perturbation approach for equation of state for hard-sphere and Lennard–Jones pure fluids

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      https://www.ias.ac.in/article/fulltext/pram/076/06/0901-0908

    • Keywords

       

      Equation of state (EOS); LJ fluid; HS fluid; computer simulation.

    • Abstract

       

      In this paper we have established the equation of state (EOS) for liquids. The EOS was established for hard-sphere (HS) fluid along with Lennard–Jones (LJ) fluid incorporating perturbation techniques. The calculations are based on suitable axiomatic functional forms for surface tension $S_m (r )$, $r \geq d/2$ with intermolecular separation 𝑟, as a variable, and 𝑚 is an arbitrary real number (pole). The results for $\beta P/ \rho$ from the present EOS thus obtained are compared with Percus-Yevick (PY), scaled particle theory (SPT), and Carnahan–Starling (CS). In addition, we have found a simple EOS for the HS fluid in the region which represents the simulation data accurately.

      It is observed that, this EOS for HS gives, PY (pressure) for $m = 0$, CS for $m = 4/5$, whereas for $m = 1$ it corresponds to SPT.

    • Author Affiliations

       

      S B Khasare1 M S Deshpande1

      1. 90, New Jagruti Colony, Katol Road, Nagpur 440 013, India
    • Dates

       
  • Pramana – Journal of Physics | News

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