**A practical integral equation for the structure and thermodynamics of
hard sphere Coulomb fluids**

JW Zwanikken and PK Jha and MO de la Cruz, JOURNAL OF CHEMICAL PHYSICS, 135, 064106 (2011).

DOI: 10.1063/1.3624809

A closure for the Ornstein-Zernike equation is presented, applicable for
fluids of charged, hard spheres. From an exact, but intractable closure,
we derive the radial distribution function of nonlinearized Debye-Huckel
theory by subsequent approximations, and use the information to
formulate a new closure by an extension of the mean spherical
approximation. The radial distribution functions of the new closure,
coined Debye-Huckel-extended mean spherical approximation, are in
excellent agreement with those resulting from the hyper-netted chain
approximation and molecular dynamics simulations, in the regime where
the latter are applicable, except for moderately dilute systems at low
temperatures where the structure agrees at most qualitatively. The
method is numerically more efficient, and more important, convergent in
the entire temperature-density plane. We demonstrate that the method is
accurate under many conditions for the determination of the structural
and thermodynamic properties of homogeneous, symmetric hard-sphere
Coulomb systems, and estimate it to be a valuable basis for the
formulation of density functional theories for inhomogeneous or highly
asymmetric systems. (C) 2011 American Institute of Physics. **doi:
10.1063/1.3624809**

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