Classical Density Functional Theory: Representability and Universal Bounds
Mathematical Physics
2023-03-29 v2 Statistical Mechanics
math.MP
Abstract
We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density . We study both the canonical and grand-canonical cases, assuming the particles interact with a pair potential which decays fast enough at infinity.
Cite
@article{arxiv.2210.07785,
title = {Classical Density Functional Theory: Representability and Universal Bounds},
author = {Michal Jex and Mathieu Lewin and Peter S. Madsen},
journal= {arXiv preprint arXiv:2210.07785},
year = {2023}
}
Comments
Final version to appear in the Journal of Statistical Physics