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Connecting systems with short and long ranged interactions: Local molecular field theory for ionic fluids

Article Abstract:

A uniform system of charged hard spheres in a uniform neutralizing background are studied to present them in simple form. It is observed that at low densities, the local molecular field (LMF) theory reduces to a generalized version of the Poisson-Boltzmann approximation, but the predicted structure factor satisfies the exact Stillinger-Lovett moment conditions, and with optimal choice of gamma the lowest order approximation remains accurate for much stronger couplings.

Chemistry, Physical and theoretical, Physical chemistry, Fluids, Ionization, Chemical properties, Poisson distribution

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Structural of nonuniform hard sphere fluids from shifted linear truncations of functional expansions

Article Abstract:

A brief description on the approximate methods for determining the structure and thermodynamics of nonuniform hard sphere fluids in a general external field phi(r) is presented. The findings indicate that the hydrostatic linear response (HLR) equation gives exact results for very slowly varying phi(r) and reduces to the Percus-Yevick (PY) approximation for hard core phi(r).

Thermodynamics, Hydrostatics

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