Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2007/05/P05001
Keywords
dynamical heterogeneities (theory); spin glasses (theory); slow dynamics and ageing (theory); structural glasses (theory)
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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 t(3) <= t(2) <= t(1). 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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