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