Finite Temperature Scaling in Density Functional Theory

TL;DR

This paper extends the analysis of scaling, bounds, and inequalities from non-interacting to full interacting functionals in thermal density functional theory, using thermodynamics of inhomogeneous systems.

Contribution

It introduces a comprehensive extension of previous non-interacting functional analysis to interacting functionals within thermal density functional theory.

Findings

Extended bounds and inequalities for interacting functionals.

Analysis based on equilibrium statistical mechanics.

Framework applicable to inhomogeneous systems.

Abstract

A previous analysis of scaling, bounds, and inequalities for the non-interacting functionals of thermal density functional theory is extended to the full interacting functionals. The results are obtained from analysis of the related functionals from the equilibrium statistical mechanics of thermodynamics for an inhomogeneous system. Their extension to the functionals of density functional theory is described.