Comments on the linear modified Poisson-Boltzmann equation in electrolyte solution theory

Abstract

Three analytic results are proposed for a linear form of the modified Poisson-Boltzmann equation in the theory of bulk electrolytes. Comparison is also made with the mean spherical approximation results. The linear theories predict a transition of the mean electrostatic potential from a Debye-Hückel type damped exponential to a damped oscillatory behaviour as the electrolyte concentration increases beyond a critical value. The screening length decreases with increasing concentration when the mean electrostatic potential is damped oscillatory. A comparison is made with one set of recent experimental screening results for aqueous NaCl electrolytes.

14 pages, 4 figures

References in corpus (4)

• The Electrostatic Screening Length in Concentrated Electrolytes Increases with Concentration
• Scaling analysis of the screening length in concentrated electrolytes
• Charge Oscillations in Debye-Hueckel Theory
• Thermodynamics of primitive model electrolytes in the symmetric and modified Poisson-Boltzmann theories. A comparative study with Monte Carlo simulations

Cited by in corpus (3)

• Primitive Model Electrolytes in the Near and Far Field: Decay Lengths from DFT and Simulations
• Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytes
• Effect of variable relative permittivity on the thermodynamics of asymmetric valency aqueous salts