Structure and structure relaxation

A discrete-dynamics model, which is specified solely in terms of a system'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-coupling theory for ideal liquid-glass transitions. The decay of density fluctuations outside the transient regime is shown to be given by a superposition of Debye processes. The concept of structural relaxation is given a precise meaning. It is proven that the long-time part of the mode-coupling theory solutions is structural relaxation, while the transient motion merely determines an overall time scale for the glassy dynamics.