Nonequilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with Gaussian couplings: strong heterogeneities and the backbone picture

Federico Romá (), Sebastian Bustingorry and Pablo M. Gleiser
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Federico Romá: Departamento de Física, Universidad Nacional de San Luis
Sebastian Bustingorry: CONICET, Centro Atómico Bariloche, R8402AGP San Carlos de Bariloche
Pablo M. Gleiser: CONICET, Centro Atómico Bariloche, R8402AGP San Carlos de Bariloche

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 11, 1-12

Abstract: Abstract We numerically study the three-dimensional Edwards-Anderson model with Gaussian couplings, focusing on the heterogeneities arising in its nonequilibrium dynamics. Results are analyzed in terms of the backbone picture, which links strong dynamical heterogeneities to spatial heterogeneities emerging from the correlation of local rigidity of the bond network. Different two-times quantities as the flipping time distribution and the correlation and response functions, are evaluated over the full system and over high- and low-rigidity regions. We find that the nonequilibrium dynamics of the model is highly correlated to spatial heterogeneities. Also, we observe a similar physical behavior to that previously found in the Edwards-Anderson model with a bimodal (discrete) bond distribution. Namely, the backbone behaves as the main structure that supports the spin-glass phase, within which a sort of domain-growth process develops, while the complement remains in a paramagnetic phase, even below the critical temperature.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-70414-x

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