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

We compared the results of the Madden-Glandt (MG) integral equation approximation for partly-quenched systems with the commonly accepted formalism of Given and Stell (GS). A studied system was a +1:-1 restricted primitive model (RPM) electrolyte confined in a quenched +1:-1 RPM matrix. A renormaliza...

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Bibliographic Details
Date:2013
Main Authors: Lukšič, M., Hribar-Lee, B.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2013
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/120860
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation / M. Lukšič, B. Hribar-Lee // Condensed Matter Physics. — 2013. — Т. 16, № 4. — С. 43803:1-8. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:We compared the results of the Madden-Glandt (MG) integral equation approximation for partly-quenched systems with the commonly accepted formalism of Given and Stell (GS). A studied system was a +1:-1 restricted primitive model (RPM) electrolyte confined in a quenched +1:-1 RPM matrix. A renormalization scheme was proposed for the set of MG replica Ornstein-Zernike equations. Long-ranged direct and total correlation functions, describing the interactions between the annealed electrolyte species within the same replicas and between the annealed and matrix particles, appeared to be the same for MG and GS approach. Both versions of the theory give very similar results for the structure and thermodynamics of an annealed subsystem. Differences between excess internal energy, excess chemical potential, and isothermal compressibility become pronounced only at high concentrations of matrix particles.