Classical Density Functional Theory: Representability and Universal Bounds

Classical Density Functional Theory: Representability and Universal Bounds

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

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Veröffentlicht in:Journal of statistical physics 2023-03, Vol.190 (4), Article 73
Hauptverfasser: Jex, Michal, Lewin, Mathieu, Madsen, Peter S.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Density functionals
Mathematical and Computational Physics
Mathematical Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Specific gravity
Statistical Physics and Dynamical Systems
Theoretical
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Beschreibung
Zusammenfassung:We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density ρ ( x ) . We study both the canonical and grand-canonical cases, assuming the particles interact with a pair potential which decays fast enough at infinity.
ISSN:1572-9613
0022-4715
1572-9613
DOI:10.1007/s10955-023-03086-7