Structure of primitive electrolytes in semi-permeable shells

Long-range overcharging and long-range charge reversal in model colloidal dispersions

“…Overcharging on the surface of an electrode or a central large parti- * corresponding author email: marcelolcmx@ier.unam.mx cle (in a bulk solution) is due to the adsorption of its coions, which are attached to its counterions, brought in contact with the surface of the central particle due to an energy-entropy balance [20]. This short-range OC occurs within a few angstroms next to the electrode's surface, and has received recent attention in the literature because of its implications on interfacial phenomena [2,22,[24][25][26][27][28][29][30][31][32]. While structural oscillations in size-symmetrical ionic solutions were first reported by Kirkwood et al [4,33] since 1954, the oscillations of the induced charge have been more recently introduced [34], and are presently under active investigation.…”

Model charged cylindrical nanopore in a colloidal dispersion: charge reversal, overcharging and double overcharging

“…We then finish with our conclusions and closing remarks. We stress that while we do not present computer simulation results for our system, the HNC/MSA theory has been extensively and successfully compared with density functional theories, Monte Carlo and/or molecular dynamics simulations for a large variety of charged homogeneous and inhomogeneous fluids [15,16,[33][34][35][36][37]. Hence, we esteem that the validity and predictions of the HNC/MSA integral equations formalism applied to homogeneous or inhomogeneous PM systems has been sufficiently demonstrated.…”

“…On the other hand, the term OC applies when the unexpected adsorption of coions increases the magnitude of the accumulated charge above that of the native one (without an inversion of sign). In the immediate past, significant interest regarding this last pair of charge anomalies has arisen in the literature since an understanding of the phenomena of CR and OC could shed light on new and fascinating physical mechanisms acting in coulombic fluids [9][10][11][12][13][14][15][16].…”

“…On the other hand, the term OC applies when the unexpected adsorption of coions increases the magnitude of the accumulated charge above that of the native one (without an inversion of sign). In the immediate past, significant interest regarding this last pair of charge anomalies has arisen in the literature since an understanding of the phenomena of CR and OC could shed light on new and fascinating physical mechanisms acting in coulombic fluids [9][10][11][12][13][14][15][16].It must be noted that, in the past, OC was also identified in the literature with the name of surface charge amplification (SCA) [17], to avoid confusion when the same term is used as synonymous of CR or CI. The preposition "over" refers to "above or higher than something else", thus "overcharging" means electrical charge above the original charge.…”

“…A second theme of interest in the EDL area is the consideration of more realistic representations of double layer systems, i.e., with sophisticated geometries and/or with additional features or interactions, for example, with dielectric contrast, dispersion forces, etc. Along the same line, in the last years, several papers have been published dealing with EDLs of non-simple forms [15,16,[24][25][26] and/or that explore the effect of a molecular solvent, non-spherical ions, van der Waals and image forces, and discrete or random surface charges on the EDL structure [12][13][14]27]. Interestingly, some of these last reports have delved into the influence of such interactions on the fate of CR and OC [12][13][14].…”