Memory effects in the relaxation of Ising models
Física Teórica, Universidad de Sevilla Apartado de Correos
1065, E-41080, Sevilla, Spain
Accepted: 2 November 2001
It is analytically shown that the one-dimensional Ising model with Glauber dynamics exhibits short-time memory effects when submitted to an abrupt change in temperature. These effects are qualitatively similar to those experimentally observed in the compaction of vibrated granular materials. Moreover, a critical time separating regimes of “normal” and “anomalous” responses to the perturbation is found.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 45.70.Cc – Static sandpiles; granular compaction
© EDP Sciences, 2002