Classical Density Functional Theory: Representability and Universal Bounds

Abstract

We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density $\rho (x)$. We study both the canonical and grand-canonical cases, assuming the particles interact with a pair potential which decays fast enough at infinity.

Final version to appear in the Journal of Statistical Physics

References in corpus (4)

• Geometric methods for nonlinear many-body quantum systems
• Coulomb and Riesz gases: The known and the unknown
• Classical Density Functional Theory: The Local Density Approximation
• The Validity of the Local Density Approximation for Smooth Short Range Interaction Potentials

Cited by in corpus (1)

• Classical Density Functional Theory: The Local Density Approximation