2000/07/31 by Federico Corberi, Eugenio Lippiello, Marco Zannetti · 2 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Curse of dimensionality #Curvature #Geometry #Interface (matter) #Mathematics #Physics #Statics #Statistical physics #Statistics #Surface tension #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech #nanoparticles nucleation surface interactions
paper · pdf · doi:10.1103/physreve.63.061506
published as Phys. Rev. E 63, 061506 (2001) · 11 pages, 3 figures. Significantly improved version of the paper with new results, new numerical simulations and new figures
arxiv created 2001/01/31 · openalex publication_date 2001/05/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.