Free-energy functional of the Debye-H\'uckel model of two-component plasmas

Autor: Blenski, T., Piron, R.
Rok vydání: 2017
Předmět:
Zdroj: High Energy Density Physics, Volume 24, September 2017, Pages 28-32
Druh dokumentu: Working Paper
DOI: 10.1016/j.hedp.2017.05.005
Popis: We present a generalization of the Debye-H\"uckel free-energy-density functional of simple fluids to the case of two-component systems with arbitrary interaction potentials. It allows one to obtain the two-component Debye-H\"uckel integral equations through its minimization with respect to the pair correlation functions, leads to the correct form of the internal energy density, and fulfills the virial theorem. It is based on our previous idea, proposed for the one-component Debye-H\"uckel approach, and which was published recently \cite{Piron16}. We use the Debye-Kirkwood charging method in the same way as in \cite{Piron16}, in order to build an expression of the free-energy density functional. Main properties of the two-component Debye-H\"uckel free energy are presented and discussed, including the virial theorem in the case of long-range interaction potentials.
Databáze: arXiv