Interface fluctuations, bulk fluctuations, and dimensionality in the off-equilibrium response of coarsening systems

The relationship between statics and dynamics proposed by Franz, Mezard, Parisi, and Peliti (FMPP) for slowly relaxing systems [Phys. Rev. Lett. 81, 1758 (1998)] is investigated in the framework of nondisordered coarsening systems. Separating the bulk from interface response we find that for statics to be retrievable from dynamics the interface contribution must be asymptotically negligible. How fast this happens depends on dimensionality. There exists a critical dimensionality above that the interface response vanishes like the interface density and below that it vanishes more slowly. At d=1 the interface response does not vanish leading to the violation of the FMPP scheme. This behavior is explained in terms of the competition between curvature-driven and field-driven interface motion.