A unified derivation of Percus–Yevick and hyper-netted chain integral equations in liquid state theory

Abstract

A general one-parameter integral equation for liquids is derived that incorporates intrinsically both the famous Percus–Yevick and hyper-netted chain equations as special cases. To examine its accuracy and reliability, the equation is solved self-consistently to find the structure and thermodynamics of Lennard–Jones fluid successfully.

GRAPHICAL ABSTRACT

KEYWORDS:

• Integral equations
• Percus–Yevick
• hyper-netted chain
• a unifying closure
• liquid state theory

I would like to thank the Islamic Azad University, Amol Branch for generous financial support of the research project.

Disclosure statement

No potential conflict of interest was reported by the author(s).