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

Hiroshi Frusawa
Phys. Rev. E 102, 012117 – Published 7 July 2020

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.

  • Received 5 April 2020
  • Accepted 18 June 2020

DOI:https://doi.org/10.1103/PhysRevE.102.012117

©2020 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Hiroshi Frusawa*

  • Laboratory of Statistical Physics, Kochi University of Technology, Tosa-Yamada, Kochi 782-8502, Japan

  • *frusawa.hiroshi@kochi-tech.ac.jp

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Issue

Vol. 102, Iss. 1 — July 2020

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