The model system used in the simulations. In the PM, for the charge-charge interactions is set to the desired value and the dipoles are absent. In the MS the Debye equation is used to calculate an approximate .
Net osmotic pressure as a function of wall-wall separation for monovalent and divalent counterions, at two different dielectric screenings, in the PM. All displayed results are for . Here as in all the following figures, the points correspond to the distances at which simulations were actually performed, and the lines serve to guide the eye.
Pressure as a function of separation for monovalent and divalent counterions, in the high and low cases. All results are for . PM results.
As in Fig. 2, for the low density cases of the MS. The bulk pressures subtracted from the results are and for low and high dielectric screening, respectively.
As in Fig. 3, for the low density MS. The high results are the same as in Fig. 4. .
Net osmotic pressure for two counterions valencies at and , in a high density MS. All the results are for . The bulk pressures are and for low and high screening cases, respectively.
Net osmotic pressure as a function of separation for and at (low ) and (high ). High density MS. .
Net osmotic pressure for the MSs alone. Triangles correspond to low density and diamonds to high density. The bulk pressures are given above ( and for low density, and and at high density, in both cases for low and high , respectively).
Interaction free energy (A) per unit area as a function of plate separation obtained by integrating the pressure curves for the PM in Fig. 2.
Integrated pressure curves for the high density MS, at two counterion valencies and . .
As in Fig. 9, for the pressure curves in Fig. 3.
As in Fig. 10, for the pressure curves in Fig. 7.
Surface tensions for the systems displayed in Figs. 2–7. The results were obtained by calculating the interaction free energies per unit area at the innermost zeros of the fitted pressure curves (minima in the vs sep curves of Figs. 9–12; free energy curves for the low density MS not shown). In the case of net repulsive (or with very shallow minima) pressure curves, we chose as positions to calculate that of the same system at double the . In case of this one also being net repulsive, we chose the more correlated system in the corresponding figure (numbers in parentheses).
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