G. Nagele et al., HYDRODYNAMIC EFFECTS IN POLYDISPERSE CHARGED COLLOIDAL SUSPENSIONS ATSHORT TIMES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(4), 1993, pp. 2562-2574
The effect of combined intrinsic size and charge polydispersity and hy
drodynamic interaction on the short-time dynamics in unimodal and bimo
dal suspensions of charged macroparticles is investigated. The first c
umulant of the dynamic-scattering function is calculated based on a bi
modal Schulz distribution for the particle sizes and charges. The infl
uence of the solvent-mediated hydrodynamic interaction between the mac
roparticles is approximately described by a far-field expansion in ter
ms of reciprocal distance r-1, including terms up to order r-11. The p
artial static-structure functions, which are required as an input, are
obtained using the multicomponent-hypernetted-chain approximation. Ou
r results are compared with data from dynamic-light-scattering experim
ents on binary mixtures of polystyrene spheres and on unimodal suspens
ions of charged silica particles. It is shown that both the intrinsic
polydispersity and the hydrodynamic interaction significantly affect t
he measured first cumulant.