Chemical potential of electrolytes adsorbed in porous media with charged obstacles: application of the continuum replica methodology

Chemical potential of a hard sphere fluid adsorbed in model disordered polydisperse matrices

“…It has been extended to partly quenched fluids and then used to describe the activity coefficients of electrolyte solutions in charged matrices [34,35]. The expression for the excess chemical potential of fluid species generalized here to a polydisperse system reads …”

Application of Replica Ornstein-Zernike equations in studies of the adsorption of electrolyte mixtures in disordered matrices of charged particles

“…The thermodynamic and structural properties of these systems can be calculated using the computer simulations and/or the replica integral equation theories. This work presents the continuation of our previous studies of partly quenched systems containing charges [18][19][20][21][22][23][24][25]. The quenched "phase" (we shall call it the matrix) is some frozen (quenched) equilibrium distribution of a symmetric model +1:−1 electrolyte.…”

“…The model used here was similar to the one described in several previous papers [19,21,22,24]. The system studied consisted of two subsystems: the first, here called the matrix, was composed of the quenched, and the second of the annealed ions.…”

“…where ρ 0 is a 2 × 2 diagonal matrix with diagonal elements ρ , where f stands for h or c, h = g − 1 being the total, and c being the direct correlation function [22].…”

“…The derivation of the replica Ornstein-Zernike (ROZ) equations for a single electrolyte adsorption was in detail described elsewhere (see [22]) and will not be repeated here. In the case of adsorption of an electrolyte mixture the general form of the equations in a matrix form remains the same.…”