Dynamic Electrophoretic Mobility of a Concentrated Dispersion of Particles with a Charge-Regulated Surface at Arbitrary Potential

Dynamic electrophoresis of a sphere in a spherical cavity: arbitrary surface potential

“…However, as the surface potential becomes high and the double layer becomes thin (κa becomes large), µ * may exhibit a local maximum and the phase angle may have a local negative (phase lead) minimum as ρ f ωa 2 /η varies. This phenomenon was also observed by Hsu and co-workers [16] for the case of a concentrated dispersion, and was explained by the ef- fect of double-layer polarization. That is, for the case of a static applied electric field, since it induces an electric field which is in the reverse direction from that of the applied electric field, the mobility of a particle is lessened.…”

“…Sawatzky and Babchin derived an approximate expression for the dynamic electrophoretic mobility under the conditions of low surface potential and arbitrary doublelayer thickness [12,13]. The dynamic electrophoresis of a concentrated dispersion of spherical particles with a chargeregulated surface was discussed by Lee and co-workers [14,15], and the dynamic electrophoretic behavior of a concentrated spherical dispersion at an arbitrary electrical potential was investigated by Hsu and co-workers [16][17][18]. Many attempts have been made to simulate the electrophoretic mobility under various boundary conditions.…”

Structure and short-time dynamics in suspensions of charged silica spheres in the entire fluid regime

“…However, the rise in Z RY with increasing salt content is much steeper, an observation which we cannot explain to date. A deeper understanding of these effective charges and their interrelations will require a detailed theoretical and experimental analysis, involving the consideration of charge-regulation effects 54,55 on the silica surfaces and colloid correlation effects, in particular, when the electrophoretic mobility is considered. Notwithstanding the progress made in our understanding of structural and electrohydrodynamic effects in suspensions of interacting charged colloidal particles, 52,53,[56][57][58][59] a lot more needs to be learned about the various types of static and dynamic effective charges.…”

“…5͑a͒ is rising far more steeply than the other two charges. To gain more insight into the interrelation of the effective colloid charges, charge regulation 54,55 and finite colloid concentration effects [56][57][58][59] should be considered. These effects have not been accounted for in our present discussion of colloid weight concentration C w , are consistent with the generic ordering relation H CS ͑q m ; ͒ Ͼ H HS ͑q m ; ͒ predicted both by the Stokesian dynamics simulations and the ␦␥-scheme.…”

Electrokinetic Phenomena in concentrated disperse systems: General problem formulation and Spherical Cell Approach

“…(1.7) (1.8) or (1.9). In some publications [99][100][101][102][103][104][105][106][107][108][109][110][111], the authors use both conditions to compare the final results. One might add that that in the corresponding papers, the Levine-Neale condition, Eqs.…”