Ionic Size Effects on the Poisson-Boltzmann Theory
arXiv:1708.08584 · doi:10.1063/1.4990737
Abstract
In this paper we develop a simple theory to study the effects of ionic size on ionic distributions around a charged spherical particle. We include a correction to the regular Poisson-Boltzmann equation in order to take into account the size of ions in a mean-field regime. The results are compared with Monte Carlo simulations and a Density Functional Theory based on the Fundamental Measure approach and a second-order bulk expansion which accounts for electrostatic correlations. The agreement is very good even for multivalent ions. Our results show that the theory can be applied with very good accuracy in the description of ions with high effective ionic radii and low concentration, interacting with a colloid or nanoparticle in an electrolyte solution.
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- Modified Poisson-Boltzmann theory for polyelectrolytes in monovalent salt solutions with finite-size ions
- Interactions between polyelectrolytes mediated by ordering and orientation of multivalent non-spherical ions in salt solutions