Electrophoretic Properties of Highly Charged Colloids: A Hybrid MD/LB Simulation Study

preprint2006arXivOpen access

Abstract

Using computer simulations, the electrophoretic motion of a positively charged colloid (macroion) in an electrolyte solution is studied in the framework of the primitive model. Hydrodynamic interactions are fully taken into account by applying a hybrid simulation scheme, where the charged ions (i.e. macroion and electrolyte), propagated via molecular dynamics (MD), are coupled to a Lattice Boltzmann (LB) fluid. In a recent experiment it was shown that, for multivalent salt ions, the mobility μμ initially increases with charge density σσ, reaches a maximum and then decreases with further increase of σσ. The aim of the present work is to elucidate the behaviour of μμ at high values of σσ. Even for the case of monovalent microions, we find a decrease of μμ with σσ. A dynamic Stern layer is defined that includes all the counterions that move with the macroion while subject to an external electrical field. The number of counterions in the Stern layer, q0q_0, is a crucial parameter for the behavior of μμ at high values of σσ. In this case, the mobility μμ depends primarily on the ratio q0/Qq_0/Q (with QQ the valency of the macroion). The previous contention that the increase in the distortion of the electric double layer (EDL) with increasing σσ leads to the lowering of μμ does not hold for high σσ. In fact, we show that the deformation of the EDL decreases with increase of σσ. The role of hydrodynamic interactions is inferred from direct comparisons to Langevin simulations where the coupling to the LB fluid is switched off. Moreover, systems with divalent counterions are considered. In this case, at high values of σσ the phenomenon of charge inversion is found.

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