Correlation Functions and Fluctuation-Dissipation Relation in Driven Mixtures: an exactly solvable model

The dynamics of a binary system with non conserved order parameter under a plain shear flow with rate $\gamma$ is solved analytically in the large-N limit. A phase transition is observed at a critical temperature $T_c(\gamma)$. After a quench from a high temperature equilibrium state to a lower temperature $T$ a non-equilibrium stationary state is entered when $T>T_c(\gamma)$, while aging dynamics characterizes the phases with $T\leq T_c(\gamma)$. Two-time quantities are computed and the off-equilibrium generalization of the fluctuation-dissipation theorem is provided.