• Flexible equation of state for a hard sphere and Lennard–Jones fluid near critical temperature

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/083/06/0955-0962

• # Keywords

Equation of state; Lennard–Jones potential; hard-sphere potential; liquid mixture; computer simulation.

• # Abstract

Author uses the condition in terms of contact point radial distribution function $G(\sigma, \lambda(\eta_c, \alpha))$ containing the self-consistent function $\lambda(\eta_c, \alpha)$ and condition of continuity at $\sigma/2$ = contact point, to determine equation of state, (EoS). Different EoSs in terms of built-in parameter, 𝑚, can be obtained with a suitable choice of $\lambda(\eta_c, \alpha)$ and the present EoSs have less r.m.s. deviation than Barker–Henderson BH2 for LJ fluids, and results are much closer to molecular dynamics (MD) simulations than expectations and reproduce the existing simulation data and present EoS for LJ potential, with the help of a set of minimum single-scaled parameter, $a_0(\eta_c, \alpha)$ for a given reduced temperature, $T^\ast = (1/\beta \epsilon)$= 1.4, 2, 3, 4, 5, 6. It has been found that parameter 𝛼 = 1.059128388 can be used to fix up the critical temperature parameter $T_c$ = 1.3120(7) to that of a computer simulation result.

• # Author Affiliations

1. Department of Physics, Science College, Congress Nagar, Nagpur 440 012, India

• # Pramana – Journal of Physics

Current Issue
Volume 93 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019