Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-07-03
Phys. Rev. E 63, 061506 (2001)
Physics
Condensed Matter
Statistical Mechanics
11 pages, 3 figures. Significantly improved version of the paper with new results, new numerical simulations and new figures
Scientific paper
10.1103/PhysRevE.63.061506
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.
Corberi Federico
Lippiello Eugenio
Zannetti Marco
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