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

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Article number	73
Journal	Journal of Statistical Physics
Volume	190
Issue number	4
DOIs	https://doi.org/10.1007/s10955-023-03086-7
Publication status	Published - 1 Apr 2023
Externally published	Yes

Keywords

Classical density functional theory
Mathematical physics
Optimal transport
Representability
Statistical mechanics
Upper and lower energy bounds

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10.1007/s10955-023-03086-7

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title = "Classical Density Functional Theory: Representability and Universal Bounds",

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KW - Mathematical physics

KW - Optimal transport

KW - Representability

KW - Statistical mechanics

KW - Upper and lower energy bounds

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Classical Density Functional Theory: Representability and Universal Bounds

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Keywords

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