Robert L Jack et al J. Stat. Mech. (2006) P12005 doi:10.1088/1742-5468/2006/12/P12005
Robert L Jack1,2, Ludovic Berthier3 and Juan P Garrahan4
Show affiliationsWe study ageing 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 ageing 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.
E-print Number: cond-mat/0609257
Cited: by |
Refers: to
81.40.Cd Solid solution hardening, precipitation hardening, and dispersion hardening; aging
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
Issue 12 (December 2006)
Received 11 September 2006, accepted for publication 10 November 2006
Published 6 December 2006
Robert L Jack et al J. Stat. Mech. (2006) P12005
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