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

Abstract

The relationship between statics and dynamics proposed by Franz, Mezard, Parisi and Peliti (FMPP) for slowly relaxing systems [Phys.Rev.Lett. {\bf 81}, 1758 (1998)] is investigated in the framework of non disordered 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 which the interface response vanishes like the interface density and below which 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.

11 pages, 3 figures. Significantly improved version of the paper with new results, new numerical simulations and new figures

References in corpus (4)

• Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain
• The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium
• Fluctuation dissipation ratio in the one dimensional kinetic Ising model
• Quasi-equilibrium interpretation of aging dynamics

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