The renormalized jellium model for spherical and cylindrical colloids

Abstract

Starting from a mean-field description for a dispersion of highly charged spherical or (parallel) rod-like colloids, we introduce the simplification of a homogeneous background to include the contribution of other polyions to the static field created by a tagged polyion. The charge of this background is self-consistently renormalized to coincide with the polyion effective charge, the latter quantity thereby exhibiting a non-trivial density dependence, which directly enters into the equation of state through a simple analytical expression. The good agreement observed between the pressure calculated using the renormalized jellium and Monte Carlo simulations confirms the relevance of the {renormalized} jellium model for theoretical and experimental purposes and provides an alternative to the Poisson-Boltzmann cell model since it is free of some of the intrinsic limitations of this approach.

References in corpus (3)

• Many-body interactions and melting of colloidal crystals
• Poisson -- Boltzmann Brownian Dynamics of Charged Colloids in Suspension
• A density functional theory study of electric potential saturation: planar geometry

Cited by in corpus (3)

• Structure and Short-time Dynamics in Suspensions of Charged Silica Spheres in the entire Fluid Regime
• A self-consistent renormalized Jellium approach for calculating structural and thermodynamic properties of charge stabilized colloidal suspensions
• Non-monotonic density dependence of the diffusion of DNA fragments in low-salt suspensions