Non-equilibrium mode-coupling theory for supercooled liquids and glasses

A formally exact set of equations is derived for the description of non-equilibrium phenomena exhibited by classical liquids and glasses. With the help of a non-equilibrium projection operator formalism, the correlation functions and fluctuation propagators are expressed in terms of memory functions and time-dependent collective frequencies. This formally exact set of equations is approximated by applying mode-coupling approximations to the memory functions. The resulting set of equations for wave-vector-dependent correlation functions,fluctuation propagators and one-rime structure factors S-q (t) generalizes the well known mode-coupling theory of the glass transition to situations far away from equilibrium.