Effective interactions in the colloidal suspensions from HNC theory

Abstract

The HNC Ornstein-Zernike integral equations are used to determine the properties of simple models of colloidal solutions where the colloids and ions are immersed in a solvent considered as a dielectric continuum and have a size ratio equal to 80 and a charge ratio varying between 1 and 4000. At an infinite dilution of colloids, the effective interactions between colloids and ions are determined for ionic concentrations ranging from 0.001 to 0.1 mol/l and compared to those derived from the Poisson-Boltzmann theory. At finite concentrations, we discuss on the basis of the HNC results the possibility of an unambiguous definition of the effective interactions between the colloidal molecules.

26 pages, 15 figures

References in corpus (6)

• Effective interactions between electric double-layers
• Effective charge saturation in colloidal suspensions
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• A simple approach for charge renormalization of highly charged macro-ions
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Cited by in corpus (7)

• Screening Lengths in Ionic Fluids
• Highly asymmetric electrolytes in the primitive model: Hypernetted chain solution in arbitrary spatial dimensions
• Coupling between bulk- and surface chemistry in suspensions of charged colloids
• The polydisperse cell model: Non-linear screening and charge renormalization in colloidal mixtures
• Effective Electrostatic Interactions in Colloid-Nanoparticle Mixtures
• Charge inversion of colloids in an exactly solvable model
• Renormalized charge in a two-dimensional model of colloidal suspension from hypernetted chain approach