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Article Dans Une Revue Journal of Statistical Physics Année : 2023

Classical Density Functional Theory: Representability and Universal Bounds

Résumé

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.

Dates et versions

hal-03862701 , version 1 (21-11-2022)

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Michal Jex, Mathieu Lewin, Peter Madsen. Classical Density Functional Theory: Representability and Universal Bounds. Journal of Statistical Physics, 2023, 190 (4), pp.73. ⟨10.1007/s10955-023-03086-7⟩. ⟨hal-03862701⟩
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