Localized excitations (tunneling modes, soft harmonic vibrations) are
believed to play a dominant role in the thermodynamics and transport p
roperties of glasses at low temperature. Using instantaneous normal-mo
de (INM) analysis, we explore the role that such localization plays in
determining the behavior of such systems in the vicinity of the glass
transition. Building on our previous study [Phys. Rev. Lett. 74, 936
(1995)] we present evidence that the glass transition in two simple mo
del systems is associated with a transition temperature below which al
l unstable INM's become localized. This localization transition is a p
ossible mechanism for the change in diffusion mechanism from continuou
s flow to localized hopping that is believed to occur in fragile glass
formers at a temperature just above T-g. (C) 1996 American Institute
of Physics.