Finite Temperature Scaling in Density Functional Theory

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.

invited paper in honor of Andreas Savin

References in corpus (3)

• Exact conditions and scaling relations in finite temperature density functional theory
• T>0 ensemble state density functional theory revisited
• System-Size Dependence in Grand Canonical and Canonical Ensembles

Cited by in corpus (5)

• Nonempirical Semi-local Free-Energy Density Functional for Matter Under Extreme Conditions
• First-principles derivation and properties of density-functional average-atom models
• Generalized hydrodynamics revisited
• Machine learning the electronic structure of matter across temperatures
• Revised Thomas-Fermi Approximation for Singular Potentials