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The general solution of the binding mean spherical approximation for pairing ions

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Abstract

The mean spherical approximation (MSA) for an arbitrary mixture of charged hard spheres with saturating bonds is solved in the Wertheim formalism. Only pairs are allowed. It is shown that the general solution is given in terms of two scaling parameters and the set of binding fractions. One of the scales is the screening parameter, and the other is a coupling parameter analogous to that of the simple MSA, but that now is found solving a cubic equation. Therefore the full solution requires solvingm+2 nonlinear algebraic equations for a system withm components. A brief discussion of the thermodynamics is given.

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Authors and Affiliations

  1. Department of Physics, University of Puerto Rico, P.O. Box 23343, 00931-3343, Rio Piedras, Puerto Rico

    L. Blum

  2. Laboratoire de Physicochimie Théorique, URA 503, Université Bordeaux I, 33405, Talence Cedex, France

    O. Bernard

Authors
  1. L. Blum
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  2. O. Bernard
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Blum, L., Bernard, O. The general solution of the binding mean spherical approximation for pairing ions. J Stat Phys 79, 569–583 (1995). https://doi.org/10.1007/BF02184871

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  • DOI: https://doi.org/10.1007/BF02184871

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