The method of collective variables: a link with the density functional theory

TL;DR

This paper establishes a connection between the method of collective variables and classical density functional theory, enhancing the theoretical framework for inhomogeneous fluids in statistical physics.

Contribution

It introduces a formal link between the collective variables approach and density functional theory for multicomponent inhomogeneous systems.

Findings

Established a theoretical link between the two methods

Enhanced understanding of inhomogeneous fluid modeling

Provided a foundation for future methodological developments

Abstract

Recently, based on the method of collective variables the statistical field theory for multicomponent inhomogeneous systems was formulated [O. Patsahan, I. Mryglod, J.-M. Caillol, Journal of Physical Studies, 2007, 11, 133]. In this letter we establish a link between this approach and the classical density functional theory for inhomogeneous fluids.