Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-09-11
J. Stat. Mech. P12005 (2006)
Physics
Condensed Matter
Statistical Mechanics
29 pages, 10 figs
Scientific paper
10.1088/1742-5468/2006/12/P12005
We study aging dynamics in two non-disordered spin models with multi-spin interactions, following a sudden quench to low temperature. The models are relevant to the physics of supercooled liquids. Their low temperature dynamics resemble those of kinetically constrained models, and obey dynamical scaling, controlled by zero-temperature critical points. Dynamics in both models are thermally activated, resulting in multi-stage relaxation towards equilibrium. We study several two-time correlation and response functions. We find that equilibrium fluctuation-dissipation relations are generically not satisfied during the aging regime, but deviations from them are well described by fluctuation-dissipation ratios, as found numerically in supercooled liquids. These ratios are purely dynamic objects, containing information about the nature of relaxation in the models. They are non-universal, and can even be negative as a result of activated dynamics. Thus, effective temperatures are not well-defined in these models.
Berthier Ludovic
Garrahan Juan P.
Jack Robert L.
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