Relationship between thermodynamic perturbation and scaled particle theories for fused dimers fluids

TL;DR

This paper reviews and compares scaled particle theories and thermodynamic perturbation theories for modeling fused dimers fluids, proposing alternative expressions based on observed analogies and differences.

Contribution

It introduces new theoretical expressions for dumbbell fluids with overlapping spheres by analyzing similarities and differences between existing scaled particle and thermodynamic perturbation theories.

Findings

Identifies analogies between scaled particle and Wertheim's thermodynamic perturbation theories.

Proposes alternative theoretical expressions for overlapping sphere dumbbell fluids.

Enhances understanding of theoretical modeling of fused dimers fluids.

Abstract

Various approaches are reviewed that use scaled particle theories to describe dumbbell fluids made of tangent or overlapped hard spheres. Expressions encountered in the literature are written in a form similar to that presented in the thermodynamic perturbation theory introduced by Wertheim for chains and developed in statistical associating fluid theory (SAFT). Analogies and differences observed in these two types of theoretical descriptions allow one to propose alternative theoretical expressions to describe dumbbell fluids with overlapping spheres.