An independent pair-link model of simple fluids

TL;DR

This paper introduces a novel reciprocal space approach to simple fluids' thermodynamics, deriving pair correlation functions that are independent of potential shape, demonstrated on hard sphere fluids.

Contribution

It presents a new reciprocal space method for analyzing simple fluids, emphasizing near independence of links and deriving correlation functions without specific potential shapes.

Findings

Derived pair correlation functions independent of potential shape

Applied method successfully to hard sphere fluids

Provided a new theoretical framework for fluid thermodynamics

Abstract

A new approach to thermodynamics of simple fluids is presented. The partition function is first expressed in the reciprocal space, it is argued that the links (p,q) between 2 molecules can reasonably in the thermodynamical limit be considered as a set nearly independent objects characterized by the dynamical variables . It is then possible to derive an expression of the pair correlation function. The results, which are independent of the exact shape of the intermolecular potential, are applied to the simple case of hard sphere fluids.