Condensed Matter Physics, 2013, vol. 16, No. 4, 43803:18
DOI:10.5488/CMP.16.43803
arXiv:1312.4872
Title:
Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the MaddenGlandt approximation
Author(s):

M. Lukšič
(University of Ljubljana, Faculty of Chemistry and Chemical Technology, Aškerčeva c. 5, SI1000 Ljubljana, Slovenia; The State University of New York at Stony Brook, Laufer Center for Physical and Quantitative Biology, 5252 SUNY, Stony Brook, NY 117945252, United States)
,


B. HribarLee
(The State University of New York at Stony Brook, Laufer Center for Physical and Quantitative Biology, 5252 SUNY, Stony Brook, NY 117945252, United States)
,

We compared the results of the MaddenGlandt (MG) integral equation approximation for partlyquenched
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 OrnsteinZernike equations. Longranged 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.
Key words:
Partlyquenched systems, electrolyte solutions, OrnsteinZernike equation, replica theory, structure, thermodynamics
PACS:
82.45.Gj, 02.30.Rz, 61.20.p, 82.60.s
