The unsteady-state electrical potential and the concentrations of ions
between two identical, negatively-charged particles immersed in an a:
b electrolyte solution are investigated. In particular, the effects of
ionic strength, I, the geometric mean of the diffusivities of counter
ions D-con and colons D-co, D, the separation distance between two par
ticles, H, and the surface charge density, ao, on these distributions
are examined. We conclude that under the following conditions a system
needs a longer time for ions to reach equilibrium distributions: (a)
small I, (b) small D, (c) large H, and (d) large sigma(0). The rate of
approach of two particles is faster if both surfaces are maintained a
t constant potential than if both surfaces are at constant charge dens
ity. The dynamic behavior of the relaxation of ions in the double laye
rs has the effect of retarding the motion of particles. The deviation
in the contact time between two particles predicted by an equilibrium
model, which assumes that the distributions of ions in a double layer
reach the Boltzmann distribution instantly, from that estimated by the
corresponding dynamic model is on the order of 10%. (C) 1997 Academic
Press.