Accurate first-principle equation of state for the one-component plasma

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Abstract

Accurate "first-principle'" expressions for the excess free energy Fex and internal energy of Uex of the classical one-component plasma (OCP) are obtained. We use the Hubbard-Schofield transformation that maps the OCP Hamiltonian onto the Ising-like Hamiltonian, with coefficients expressed in terms of equilibrium correlation functions of a reference system. We use the ideal gas as a reference system for which all the correlation functions are known. Explicit calculations are performed with the high-order terms in the Ising-like Hamiltonian omitted. For small values of the plasma parameter Γ the Debye-Huckel result for Fex and Uex is recovered. For Γ ≫ 1, these depend linearly on Γ in accordance with the Monte Carlo findings for the OCP. The MC data for the internal energy are reproduced fairly well by the expression for Uex obtained.

Original languageEnglish
Pages (from-to)489-499
Number of pages11
JournalContributions to Plasma Physics
Volume38
Issue number4
DOIs
Publication statusPublished - 1998
Externally publishedYes

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