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Electrophoretic properties of highly charged colloids: A hybrid molecular dynamics∕lattice Boltzmann simulation study
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Image of FIG. 1.
FIG. 1.

(a) as a function of for different values of the electric field, as indicated. Data are shown for one macroion of charge , monovalent counterions, and monovalent coions. (b) Cumulative counterion charge for the same parameters as in (a). is the cumulative counterion charge at which is zero. The determination of is indicated in the figure by the dashed lines for the example .

Image of FIG. 2.
FIG. 2.

as a function of for two different values of the bare charge , as indicated. For the HD case, the data from Fig. 1 for and are plotted (open circles). The closed circles are the corresponding results from LD simulations. Also shown are results for (open and closed diamonds for HD and LD, respectively). In this case, the system contains counterions and coions.

Image of FIG. 3.
FIG. 3.

The macroion mobility as a function of the surface charge density for LD and HD simulations as indicated. The charge density is either varied by changing the radius of the macroion from keeping fixed at or , or by changing from to keeping fixed at . The number of counterions and coions used for each value of is mentioned in text. For all data, the “hydrodynamic radius” is chosen to be constant at .

Image of FIG. 4.
FIG. 4.

Ratio as a function of . As indicated, in the different data sets either or are fixed while is varied (see also Fig. 3).

Image of FIG. 5.
FIG. 5.

Plot of the measure of distortion of the Stern layer, normalized by the Coulomb radius of colloid as a function of the inverse surface charge density (for the definition of see text). The inset shows which is a measure of the charge separation due to the distortion of the EDL.

Image of FIG. 6.
FIG. 6.

Plot of vs the charge density . The mobilities and correspond to HD and LD runs, respectively.

Image of FIG. 7.
FIG. 7.

Macroion mobility vs the counterion coupling constant for LD and HD simulations. The colloidal friction is fixed at and . The lines are guides to the eyes.

Image of FIG. 8.
FIG. 8.

Electrophoretic mobility as a function of surface charge density for two different systems using LD and HD, as indicated. The lines serve as guides to the eyes.

Image of FIG. 9.
FIG. 9.

Cumulative charge of divalent ions as a function of for different values of macroion radius as indicated. Data for the system with divalent counterions and divalent coions are shown (the charge of the macroion is ). The distance in the axis is normalized by which corresponds to the largest radius used.


Generic image for table
Table I.

Charge of the macroion , number of counterions , number of coions , and the corresponding values of the screening parameter and the dimensionless quantity that were used in the simulations for .


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Electrophoretic properties of highly charged colloids: A hybrid molecular dynamics∕lattice Boltzmann simulation study