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

Patsahan Patsahan,Mryglod Mryglod

doi:10.5488/cmp.15.24001

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.

Highlights

Based on the method of collective variables the statistical field theory for multicomponent inhomogeneous systems was formulated [O
The method, proposed initially in the 1950s [3,4,5] for the description of the classical charged many particle systems and developed later for the needs of the phase transition theory [6,7,8,9,10], was one of the first successful attempts to attack the problems of statistical physics using the functional integral representation
The collective variables (CVs) method is based on: (i) the concept of collective coordinates being appropriate for the physics of the system considered and (ii) the functional integral identity exp F [ρ] = Dρ δF ρ − ρ exp F [ρ]

Summary

Introduction

Based on the method of collective variables the statistical field theory for multicomponent inhomogeneous systems was formulated [O. The powerful tools for the study of equilibrium and non-equilibrium properties of many-particle interacting systems are those based on the functional methods. At the same time another method, the method of collective variables (CVs), that allows one in an explicit way to derive a functional representation for many-particle interacting systems, was developed [3, 4].

Results

Conclusion