带电基体中原始模型电解质的结构和热力学：Madden-Glandt近似的评价
Structure and thermodynamics of the primitive model electrolyte in a charged matrix: The evaluation of the Madden-Glandt approximation
摘要：
我们比较了部分淬火系统的Madden-Glandt（MG）积分方程近似的结果与公认的形式主义的Given和Stell（GS）。所研究的系统是限制在淬灭的+1：-1 RPM基质中的+1：-1受限原始模型（RPM）电解质。提出了一个重正化方案，用于求解一组MG副本Ornstein-Zernike方程。长程直接和总关联函数，描述退火的电解质物种之间的相互作用，在相同的副本和退火和基质颗粒之间，似乎是相同的MG和GS的方法。这两个版本的理论给出了非常相似的结果退火子系统的结构和热力学。过剩内能、过剩化学势和等温压缩性之间的差异仅在高浓度的基体颗粒时才变得明显。
英文摘要：
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). The system studied was a +1:-1 restricted primitive model (RPM) electrolyte confined in a quenched +1:-1 RPM matrix. A renormalization scheme was proposed for a 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.
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