Classical Density Functional Theory: Representability and Universal Bounds

Mathieu Lewin; Michal Jex; Peter S. Madsen

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Classical Density Functional Theory: Representability and Universal Bounds

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arxiv 2210.07785 v2 pith:WN2FTA6C submitted 2022-10-14 math-ph cond-mat.stat-mechmath.MP

Classical Density Functional Theory: Representability and Universal Bounds

Michal Jex , Mathieu Lewin , Peter S. Madsen This is my paper

classification math-ph cond-mat.stat-mechmath.MP

keywords boundsclassicaldensityassumingcanonicalcasesdecaysenergy

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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.

Classical Density Functional Theory: Representability and Universal Bounds

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