A discrete-dynamics model, which is specified solely in terms of a sys
tem's equilibrium structure, is defined for the density correlators of
a simple fluid. This model yields results for the evolution of glassy
dynamics which are identical with the ones obtained from the mode-cou
pling theory for ideal liquid-glass transitions. The decay of density
fluctuations outside the transient regime is shown to be given by a su
perposition of Debye processes. The concept of structural relaxation i
s given a precise meaning. It is proven that the long-time part of the
mode-coupling theory solutions is structural relaxation, while the tr
ansient motion merely determines an overall time scale for the glassy
dynamics. (C) 1998 Elsevier Science B.V. All rights reserved.