Statistical field theory for a multicomponent fluid: The collective variables approach

TL;DR

This paper revisits the statistical field theory of multicomponent non-homogeneous fluids using the collective variables method, deriving explicit relations for field correlations and formulating a perturbation theory.

Contribution

It provides explicit expressions for CV field correlations and their relation to density correlations, and develops a perturbation theory including a detailed mean field analysis.

Findings

Derived explicit CV field correlation expressions

Established relation between CV correlations and density correlations

Formulated a perturbation theory with mean field analysis

Abstract

Using the collective variables (CV) method the basic relations of statistical field theory of a multicomponent non-homogeneous fluids are reconsidered. The corresponding CV action depends on two sets of scalar fields - fields $\rho_{\alpha}$ connected to the local density fluctuations of the $\alpha$th species of particles and fields $\omega_{\alpha}$ conjugated to $\rho_{\alpha}$. The explicit expressions for the CV field correlations and their relation to the density correlation functions are found. The perturbation theory is formulated and a mean field level (MF) of the theory is considered in detail.