2004/12/03 by C. Godreche, C Godrèche, J M Luck +1 · 1 citation
Mathematics · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/0953-8984/17/24/014
published as J. Phys. Cond. Matt. 17, S2573-S2590 (2005) · 21 pages, 6 figures. To appear in special issue of JPCM on Granular Matter edited by M. Nicodemi
arxiv created 2004/12/03 · openalex publication_date 2005/06/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The zero-temperature dynamics of simple models such as Ising ferromagnets provides, as an alternative to the mean-field situation, interesting examples of dynamical systems with many attractors (absorbing configurations, blocked configurations, zero-temperature metastable states). After a brief review of metastability in the mean-field ferromagnet and of the droplet picture, we focus our attention onto zero-temperature single-spin-flip dynamics of ferromagnetic Ising models. The situations leading to metastability are characterized. The statistics and the spatial structure of the attractors thus obtained are investigated, and put in perspective with uniform a priori ensembles. We review the vast amount of exact results available in one dimension, and present original results on the square and honeycomb lattices.