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Structure and thermodynamics in restricted primitive model electrolytes areexamined using three recently developed versions of a linear form of themodified Poisson-Boltzmann equation. Analytical expressions for the osmoticcoefficient and the electrical part of the mean activity coefficient areobtained and the results for the osmotic and the mean activity coefficients arecompared with that from the more established mean spherical approximation,symmetric Poisson-Boltzmann, modified Poisson-Boltzmann theories, and availableMonte Carlo simulation results. The linear theories predict the thermodynamicsto a remarkable degree of accuracy relative to the simulations and areconsistent with the mean spherical approximation and modified Poisson-Boltzmannresults. The predicted structure in the form of the radial distributionfunctions and the mean electrostatic potential also compare well with thecorresponding results from the formal theories. The excess internal energy andthe electrical part of the mean activity coefficient are shown to be identicalanalytically for the mean spherical approximation and the linear modifiedPoisson-Boltzmann theories.

Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytes