Thermodynamics of the multi-component dimerizing hard-sphere Yukawa mixture in the associative mean spherical approximation

TL;DR

This paper derives explicit analytical thermodynamic expressions for multi-component dimerizing Yukawa hard-sphere fluids using the associative mean spherical approximation, simplifying the analysis of complex associating fluid systems.

Contribution

It provides a simplified solution for the AMSA equations, enabling thermodynamic analysis of multi-component and polydisperse associating fluids.

Findings

Explicit formulas for Helmholtz free energy, chemical potential, entropy, and pressure.

Reduction of AMSA to a single nonlinear algebraic equation for the scaling parameter.

Applicability to arbitrary multi-component and polydisperse fluids.

Abstract

Explicit analytical expressions for Helmholtz free energy, chemical potential, entropy and pressure of the multi-component dimerizing Yukawa hard-sphere fluid are presented. These expressions are written in terms of the Blum's scaling parameter $\Gamma$, which follows from the solution of the associative mean spherical approximation (AMSA) for the model with factorized Yukawa coefficients. In this case solution of the AMSA reduces to the solution of only one nonlinear algebraic equation for $\Gamma$. This feature enables the theory to be used in the description of the thermodynamical properties of associating fluids with arbitrary number of components, including the limiting case of polydisperse fluids.