Effective interactions in the colloidal suspensions from hypernetted-chain theory.
The hypernetted-chain (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.
Léger
Daniel
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Laboratoire de Mécanique et l'Energétique, Université de Valenciennes et du Hainaut-Cambrésis Le Mont Houy, 59313 Valenciennes 9, France. daniel.leger@univ-valenciennes.fr
Levesque
Dominique
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