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Free-energy functional of instantaneous correlation field in liquids: field-theoretic derivation of the closures

This paper presents a unified method for formulating a field-theoretic perturbation theory that encompasses the conventional liquid state theory. First, the free-energy functional of instantaneous correlation field is obtained from the functional-integral representation of the grand potential. Next, we demonstrate that the instantaneous free-energy functional yields a closure relation between the correlation functions in the mean-field approximation. Notably, the obtained closure relation covers a variety of approximate closures introduced in the liquid state theory.

preprint2020arXivOpen access
Hiroshi Frusawa
cond-mat.stat-mechcond-mat.softphysics.chem-ph
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Hiroshi Frusawa

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