Free-energy functional of instantaneous correlation field in liquids: Field-theoretic derivation of the closures.
basic_science · Level V
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- Also identified by DOI 10.1103/PhysRevE.102.012117.
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Abstract
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 an 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.