Effective interactions in the colloidal suspensions from HNC theory

Details Effective interactions in the colloidal suspensions from HNC theory Effective interactions in the colloidal suspensions from HNC theory

2004-12-03

arxiv.org/abs/cond-mat/0412086v2

Physics

Condensed Matter

Soft Condensed Matter

26 pages, 15 figures

Scientific paper

10.1063/1.1979480

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.

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