The mean spherical approximation for the surface density profile of the one-component plasma. II - Sorbonne Université
Article Dans Une Revue The Journal of Chemical Physics Année : 1983

The mean spherical approximation for the surface density profile of the one-component plasma. II

Résumé

The MSA/MSA solution of the wall-particle Ornstein–Zernike equation for the one-component plasma is formulated as a fastly convergent expansion, convenient for numerical calculations, which avoids the usual zone-by-zone representation of the profile ρ(z). ρ(z) is then a sum of exponential terms of complex arguments tn, where the tn are the zeros of the Baxter function Q̃(k). A typical relation between the contact value ρ(o), the total potential drop, and the isothermal compressibility is derived. This new treatment of the MSA/MSA equation is used to extend previous work in two directions: (i) the wall is placed at an arbitrary distance from the edge of the background profile; and (ii) the ions and the background interact via a pseudopotential. The influence of the pseudopotential radius is discussed numerically and the free-surface situation is also considered. The effect of the pseudopotential is formally equivalent to the introduction of an adsorption potential at the wall.

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Chimie
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Dates et versions

hal-04693949 , version 1 (11-09-2024)

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M.L. Rosinberg, Jean-Pierre Badiali. The mean spherical approximation for the surface density profile of the one-component plasma. II. The Journal of Chemical Physics, 1983, 78 (10), pp.6325-6332. ⟨10.1063/1.444558⟩. ⟨hal-04693949⟩
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