Free-energy functional of the Debye-Hückel model of simple fluids

Abstract

The Debye-Hückel approximation to the free-energy of a simple fluid is written as a functional of the pair correlation function. This functional can be seen as the Debye-Hückel equivalent to the functional derived in the hyper-netted chain framework by Morita and Hiroike, as well as by Lado. It allows one to obtain the Debye-Hückel integral equation through a minimization with respect to the pair correlation function, leads to the correct form of the internal energy, and fulfills the virial theorem.

References in corpus (3)

• Average Atom Model based on Quantum Hyper-Netted Chain Method
• Thermodynamic consistency of energy and virial routes: An exact proof within the linearized Debye-Hückel theory
• Linear response of a variational average atom in plasma : semi-classical model

Cited by in corpus (4)

• Free-energy functional of the Debye-Hückel model of two-component plasmas
• A variational atomic model of plasma accounting for ion radial correlations and electronic structure of ions (VAMPIRES)
• Addendum to "Free-energy functional of the Debye-Hückel model of simple fluids"
• Variational average-atom model of electron-ion plasma with correlations and quantum bound electrons