The dynamical characteristics of the vitrification process for a binary sof
t-sphere system are studied by means of an extensive molecular dynamics sim
ulation. Using a Cole-Cole plot of the susceptibility, evidence is given fo
r the first time of a fast process, which can be identified over a certain
temperature range. Comparing with an ideal three-mode model in three dimens
ions, it is concluded that the fast process and the boson peak are related
to the trapped motion.