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18 April 2024
 
  » arxiv » cond-mat/0110385

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Effective forces in colloidal mixtures: from depletion attraction to accumulation repulsion
A.A. Louis ; E. Allahyarov ; H. Lowen ; R.Roth ;
Date 18 Oct 2001
Journal Phys. Rev. E 65, 061407 (2002)
Subject Soft Condensed Matter; Statistical Mechanics | cond-mat.soft cond-mat.stat-mech
AbstractComputer simulations and theory are used to systematically investigate how the effective force between two big colloidal spheres in a sea of small spheres depends on the basic (big-small and small-small) interactions. The latter are modeled as hard-core pair potentials with a Yukawa tail which can be both repulsive or attractive. For a repulsive small-small interaction, the effective force follows the trends as predicted by a mapping onto an effective non-additive hard-core mixture: both a depletion attraction and an accumulation repulsion caused by small spheres adsorbing onto the big ones can be obtained depending on the sign of the big-small interaction. For repulsive big-small interactions, the effect of adding a small-small attraction also follows the trends predicted by the mapping. But a more subtle ``repulsion through attraction’’ effect arises when both big-small and small-small attractions occur: upon increasing the strength of the small-small interaction, the effective potential becomes more repulsive. We have further tested several theoretical methods against our computer simulations: The superposition approximation works best for an added big-small repulsion, and breaks down for a strong big-small attraction, while density functional theory is very accurate for any big-small interaction when the small particles are pure hard-spheres. The theoretical methods perform most poorly for small-small attractions.
Source arXiv, cond-mat/0110385
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