Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2007

Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model

Résumé

We study numerically spatio-temporal fluctuations during the out- of-equilibrium relaxation of the three-dimensional Edwards–Anderson model. We focus on two issues. (1) The evolution of a growing dynamical length scale in the glassy phase of the model, and the consequent collapse of the distribution of local coarse-grained correlations measured at different pairs of times on a single function using two scaling parameters, the value of the global correlation at the measuring times and the ratio of the coarse graining length to the dynamical length scale (in the thermodynamic limit). (2) The ‘triangular’ relation between coarse-grained local correlations at three pairs of times taken from the ordered instants t3 ≤ t2 ≤ t1. Property (1) is consistent with the conjecture that the development of time-reparametrization invariance asymptotically is responsible for the main dynamic fluctuations in ageing glassy systems as well as with other mechanisms proposed in the literature. Property (2), we stress, is a much stronger test of the relevance of the time-reparametrization invariance scenario.

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hal-00123153 , version 1 (27-03-2020)

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Ludovic D. C. Jaubert, Claudio Chamon, Leticia Cugliandolo, Marco Picco. Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model. Journal of Statistical Mechanics: Theory and Experiment, 2007, 2007 (05), pp.P05001. ⟨10.1088/1742-5468/2007/05/P05001⟩. ⟨hal-00123153⟩
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