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

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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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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spelling irk-123456789-1208602017-06-14T03:07:05Z Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation Lukšič, M. Hribar-Lee, B. 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. Ми порiвняли результати наближення Маддена-Гландта у формалiзмi iнтегральних рiвнянь для частково заморожених систем iз загально прийнятим формулюванням Гiвена i Стелла. Розглядається Å1 : ¡1 валентна обмежена примiтивна модель розчину електролiту у замороженiй Å1 : ¡1 валентнiй матрицi. Запропоновано схему перенормування для наближення Маддена-Гландта реплiкованого рiвняння Орнштейна-Цернiке. Виявляється, що далекосяжнi вклади до прямої i повної кореляцiйних функцiй, якi описують взаємодiю мiж частинками електролiту у певнiй реплiцi, а також мiж частинками плину i матрицi, є однаковими у наближеннi Маддена-Гландта i формулюваннi Гiвена i Стелла. Обидвi теорiї при-зводять до дуже подiбних результатiв для структури i термодинамiки пiдсистеми адсорбату. Рiзниця мiж значеннями надлишкової внутрiшньої енергiї, надлишкового хiмiчного потенцiалу та iзотермiчної стисливостi стає бiльш виразною лише при високiй густинi матричної пiдсистеми. 2013 Article 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. 1607-324X PACS: 82.45.Gj, 02.30.Rz, 61.20.-p, 82.60.-s DOI:10.5488/CMP.16.43803 arXiv:1312.4872 http://dspace.nbuv.gov.ua/handle/123456789/120860 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Lukšič, M.
Hribar-Lee, B.
spellingShingle Lukšič, M.
Hribar-Lee, B.
Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation
Condensed Matter Physics
author_facet Lukšič, M.
Hribar-Lee, B.
author_sort Lukšič, M.
title Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation
title_short Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation
title_full Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation
title_fullStr Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation
title_full_unstemmed Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation
title_sort structure and thermodynamics of the primitive model electrolyte in a charged matrix: the evaluation of the madden-glandt approximation
publisher Інститут фізики конденсованих систем НАН України
publishDate 2013
url http://dspace.nbuv.gov.ua/handle/123456789/120860
citation_txt 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.
series Condensed Matter Physics
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first_indexed 2025-07-08T18:44:52Z
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