Fluctuation Theory of Mixtures (A Statistical Mechanical Background)

TL;DR

This paper reviews the statistical mechanical foundations of fluctuation theory in mixtures, linking microscopic distribution functions to macroscopic thermodynamic properties and discussing approximations and correlation functions.

Contribution

It provides a comprehensive overview of the statistical mechanical basis of fluctuation theory for mixtures, including distribution functions and correlation functions.

Findings

Relations between distribution functions and thermodynamic properties

Definitions and relations of correlation functions and fluctuation integrals

Overview of approximations to distribution functions

Abstract

The statistical mechanical basis of the fluctuation theory of mixtures is reviewed. An overview of the statistical mechanical relations between the microscopic properties of a system and its macroscopic properties is presented. The distribution functions in equilibrium systems are defined and relations between the distribution functions and thermodynamic properties for pure fluids and fluid mixtures are reported. The available approximations to distribution functions are presented. Definitions of direct correlation functions, direct correlation function integrals, and their relations with fluctuation integrals are reported.