Classical Density Functional Theory: Representability and Universal Bounds

Michal Jex; Mathieu Lewin; Peter S. Madsen

doi:10.1007/s10955-023-03086-7

Classical Density Functional Theory: Representability and Universal Bounds

Michal Jex
, Mathieu Lewin
, Peter S. Madsen

Université Paris Dauphine
Czech Technical University in Prague

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

2 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Numéro d'article	73
journal	Journal of Statistical Physics
Volume	190
Numéro de publication	4
Les DOIs	https://doi.org/10.1007/s10955-023-03086-7
état	Publié - 1 avr. 2023
Modification externe	Oui

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10.1007/s10955-023-03086-7

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title = "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 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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AU - Jex, Michal

AU - Lewin, Mathieu

AU - Madsen, Peter S.

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AB - 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.

KW - Classical density functional theory

KW - Mathematical physics

KW - Optimal transport

KW - Representability

KW - Statistical mechanics

KW - Upper and lower energy bounds

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DO - 10.1007/s10955-023-03086-7

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Classical Density Functional Theory: Representability and Universal Bounds

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