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We compared the results of the Madden-Glandt (MG) integral equationapproximation for partly-quenched systems with the commonly accepted formalismof Given and Stell (GS). The system studied was a +1:-1 restricted primitivemodel (RPM) electrolyte confined in a quenched +1:-1 RPM matrix. Arenormalization scheme was proposed for a set of MG replica Ornstein-Zernikeequations. Long-ranged direct and total correlation functions, describing theinteractions between the annealed electrolyte species within the same replicasand between the annealed and matrix particles, appeared to be the same for MGand GS approach. Both versions of the theory give very similar results for thestructure and thermodynamics of an annealed subsystem. Differences betweenexcess internal energy, excess chemical potential, and isothermalcompressibility become pronounced only at high concentrations of matrixparticles.

Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation