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Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model | | Ludovic D. C. Jaubert
; Claudio Chamon
; Leticia F. Cugliandolo
; Marco Picco
; | | Date: |
5 Jan 2007 | | Subject: | Disordered Systems and Neural Networks | | Abstract: | We study numerically spatio-temporal fluctuations during the out-of-equilibrium relaxation of the three-dimensional Edwards-Anderson model. We focus on the evolution of a growing dynamical length scale in the glassy phase of the model, and its relation to the probability distribution function of local two-time spatially coarse-grained spin-spin correlation functions. We extract the dynamical length scale from the dependence of the moments (such as the skewness) of the distribution of such local functions on the coarse-graining length. We compare the correlation length thus found with measurements of four-point (two time and two site) correlations. The distributions of local correlations, for different times, collapse onto a single distribution using two scaling parameters, the value of the global correlation and the ratio of the coarse graining length to the dynamical length scale (in the thermodynamic limit). | | Source: | arXiv, cond-mat/0701116 | | Services: | Forum | Review | PDF | Favorites | |
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