Memory effects in the relaxation of Ising models

Details Memory effects in the relaxation of Ising models Memory effects in the relaxation of Ising models

2001-05-11

arxiv.org/abs/cond-mat/0105232v2

Europhysics Letters 57, 171-177 (2002)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures; accepted (revised) version, to appear in Europhysics Letters

Scientific paper

10.1209/epl/i2002-00558-3

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 the 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.

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