Schematic representation of a charged system with a distinction between Stern and Diffuse layer.
Schematic representation of the coarse graining of PS.
Plot of and as a function of concentration at neutral pH. The result of the theory is compared with the predictions of LPB with two different binding constants.
Free energy as a function of for at neutral pH. Also plotted are the results of the LPB model with . For thus showing charge inversion. The free energies have been shifted by a constant for proper comparison.
Plot of and as a function of concentration at . The result of the theory is compared with LPB with . The enhanced deprotonation is attributed to long-range electrostatic effects, as discussed in the text.
Plot of and as a function of divalent salt concentration for fixed monovalent concentration at neutral pH. The result of the theory is compared with the predictions from LPB with two different values for the binding constants.
Configurations used to compute the static correlation energy and . The configuration can be used to compute and by placing a divalent and a monovalent charge on every site. Empty circles do not belong to the unit cell and are obtained from lattice translations.
Plot of the potential of mean force for the same system as in the previous figure. The fits to the potential (C1) are indistinguishable from the theory prediction.
Coefficients for the electrostatic correlation energy [see Eq. (B7)], computed as described in the text for different counterion valences . The top value is computed for a triangular lattice, while the bottom one is for the square.
Comparison between the results of simulation (Ref. 52) and the theoretical results for at three different 2:1 salt concentrations. The results correspond to a square lattice with interfacial charges with and bare .
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