Abstract
The relation between the autocorrelation C(t,tw) and the integrated linear response function χ(t,tw) 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 > Tc a non-equilibrium stationary state is entered which is characterized by a non-trivial fluctuation-dissipation relation χ(t − tw) = (C(t − tw)). For quenches below Tc the splitting of the order parameter field into two statistically independent components, responsible for the stationary Cst(t − tw) and aging Cag(t/tw) part of the autocorrelation function, can be explicitly exhibited in close analogy with the undriven case. In the regime t − tw << tw the same relation χ(t − tw) = (Cst(t − tw)) is found between the response and Cst(t − tw), as for T > Tc. The aging part of χ(t,tw) is negligible for tw → ∞, as without drive, resulting in a flat χ(C) in the aging regime t − tw >> tw.