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

R. Piron 1 T. Blenski 2, 3
2 MHDE - Matière à Haute Densité d'Energie
IRAMIS - Institut Rayonnement Matière de Saclay, LIDyl - Laboratoire Interactions, Dynamique et Lasers (ex SPAM)
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 hypernetted 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.
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Submitted on : Thursday, January 5, 2017 - 2:03:08 PM
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R. Piron, T. Blenski. Free-energy functional of the Debye-Hückel model of simple fluids. Physical Review E , American Physical Society (APS), 2016, 94, pp.062128. ⟨10.1103/PhysRevE.94.062128⟩. ⟨cea-01427234⟩

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