R. Klein et G. Nagele, DYNAMICS AND SEDIMENTATION-VELOCITY IN CHARGE-STABILIZED COLLOIDAL SUSPENSIONS, Nuovo cimento della Societa italiana di fisica. D, Condensed matter,atomic, molecular and chemical physics, biophysics, 16(8), 1994, pp. 963-979
Charge-stabilized suspensions are characterized by the strong electros
tatic interactions between the particles so that rather dilute systems
may exhibit strong correlation resulting in a well-developed short-ra
nge order. This microstructure, quantitatively described by the pair d
istribution function g(r), is rather different from that of (uncharged
) hard spheres. It is shown how this difference affects the ''hydrodyn
amic function'' H(k), which appears in the expression for the first cu
mulant Gamma(k) = k(2)D(eff)(k) = k(2)H(k)/S(k) of the dynamic autocor
relation function. Without hydrodynamic interaction, H(k) = D-0, which
is the free-diffusion coefficient. Using pairwise additive hydrodynam
ic interaction and the lowest-order many-body theory of hydrodynamic i
nteraction, it is found that H(k) can deviate considerably from D-0 ev
en for systems of volume fractions phi as low as 10(-3). These effects
are more pronounced for collective diffusion than for self-diffusion.
Since H(k = 0) is closely related to the sedimentation velocity, we h
ave studied this quantity as a function of volume fraction. It is foun
d that (H(0)/D-0)-1 scales as phi(1/3) at low phi in salt-free suspens
ions.