Abstract
A formally exact set of equations is derived for the description ofnon-equilibrium phenomena exhibited by classical liquids and glasses. Withthe help of a non-equilibrium projection operator formalism, thecorrelation functions and fluctuation propagators are expressed interms of memory functions and time-dependent collective frequencies.This formally exact set of equations is approximated by applyingmode-coupling approximations to the memory functions. The resultingset of equations for wave-vector-dependent correlation functions,fluctuation propagators and one-time structure factors Sq(t)generalizes the well known mode-coupling theory of the glasstransition to situations far away from equilibrium.
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