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Free-energy functional of the Debye–Hückel model of two-component plasmas

T. Blenski 1, 2 R. Piron 3
2 MHDE - Matière à Haute Densité d'Energie
IRAMIS - Institut Rayonnement Matière de Saclay, LIDyl - Laboratoire Interactions, Dynamiques et Lasers (ex SPAM)
Abstract : We present a generalization of the Debye–Hückel 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–Hückel 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–Hückel approach, which was published recently in Ref. [1]. We use the Debye–Kirkwood charging method in the same way as in Ref. [1], in order to build an expression of the free-energy density functional. Main properties of the two-component Debye–Hückel free energy are presented and discussed, including the virial theorem in the case of long-range interaction potentials.
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https://hal-cea.archives-ouvertes.fr/cea-01613492
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Submitted on : Monday, October 9, 2017 - 4:34:31 PM
Last modification on : Monday, February 10, 2020 - 6:14:03 PM

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T. Blenski, R. Piron. Free-energy functional of the Debye–Hückel model of two-component plasmas. High Energy Density Physics, Elsevier, 2017, 24, pp.28 - 32. ⟨10.1016/j.hedp.2017.05.005⟩. ⟨cea-01613492⟩

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