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

• Fulltext

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

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

• Pramana – Journal of Physics

Volume 96, 2022
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Posted on July 25, 2019