Effects of an external drive on the fluctuation-dissipation relation of phase-ordering systems

The relation between the autocorrelation C (t, t(w)) and the integrated linear response function chi(t, t(w)) is studied in the context of the large-N model for phase-ordering systems subjected to a shear flow. In the high-temperature phase T> T-c a non-equilibrium stationary state is entered which is characterized by a non-trivial fluctuation-dissipation relation chi(t- t(w)) = (χ) over tilde (C (t-t(w))). For quenches below T-c the splitting of the order parameter field into two statistically independent components, responsible for the stationary C-st (t-t(w)) and aging C-ag (t/t(w)) part of the autocorrelation function, can be explicitly exhibited in close analogy with the undriven case. In the regime t-t(w) << t(w) the same relation chi(t-t(w)) = (χ) over tilde (C-st (t-t(w))) is found between the response and C-st (t-t(w)), as for T> T-c. The aging part of chi(t, t(w)) is negligible for t(w) --> infinity, as without drive, resulting in a at chi(C) in the aging regime t-t(w) >> t(w).