We report Brownian dynamics simulation results on binary colloidal mix
tures of particles of two different diameters interacting via a repuls
ive DLVO potential. As the effective temperature is lowered by reducin
g charged impurity concentration, a transition from liquid to crystal
at a total volume fraction phi of 0.2 and to glassy state at phi = 0.3
are observed. The mean squared displacements show a marked subdiffusi
ve behavior at intermediate and long times below a certain temperature
. The particle motion in supercooled liquid with phi = 0.3 is strongly
cooperative as revealed by mean squared displacements, self-part of v
an-Hove density correlation functions and non-Gaussian parameter. Inte
restingly, a few particles exhibit cooperative hop and subsequent hop-
back motion at temperatures very close to the glass transition.