Accounting for the long-range forces in the model of hard sphere

TL;DR

This paper introduces a method to incorporate long-range atomic potentials into the hard-sphere model, enabling more accurate thermodynamic predictions by combining ideal gas, hard-sphere interactions, and long-range effects.

Contribution

It presents a novel approach to account for long-range potentials within the hard-sphere model, extending its applicability to more realistic atomic interactions.

Findings

Thermodynamic quantities are expressed as a sum of three contributions.

Corrections to virial coefficient and heat capacity are calculated.

Long-range effects can be modeled using a self-consistent field approach.

Abstract

A method for taking into account the long-range potential of atoms in the framework of the hard-sphere model is proposed. It is shown that thermodynamic quantities can be represented as a sum of three contribution: that of an ideal gas, the interaction of hard sphere, and the long-range potential. In the leading approximation on density, the corrections to the virial coefficient and heat capacity due to the smooth component of the potential are calculated. Attention is drawn to the fact that the effects determined by the long-range part of of the potential can be described in the framework of the self-consistent field model.