Aging dynamics of Edwards-Anderson spin glasses

Stariolo, D.A.; Montemurro, M.A. and Tamarit, F.A. (2003). Aging dynamics of Edwards-Anderson spin glasses. European Physical Journal B, 32(3) pp. 361–367.

DOI: https://doi.org/10.1140/epjb/e2003-00110-y

Abstract

We analyze by means of extensive computer simulations the out of equilibrium dynamics of Edwards-Anderson spin glasses in <b>d = 4</b> and <b>d = 6</b> dimensions with <b>± J </b> interactions. In particular, we focus our analysis on the scaling properties of the two-time autocorrelation function in a wide range of temperatures from <b>T = 0.07 T <sub>c</sub></b> to <b>T = 0.75 T <sub>c</sub></b> in both systems. In both the <b>4 d</b> and <b>6 d</b> models at very low temperatures we study the effects of discretization of energy levels. Strong sub-aging behaviors are found. We argue that this is because in the times accessible to our simulations the systems are only able to probe activated dynamics through the lowest discrete energy levels and remain trapped around nearly flat regions of the energy landscape. For temperatures <b>T ≥ 0.5 T <sub>c</sub></sub> in <b>4 d</b> and <b>6 d</b> we find logarithmic scalings that are compatible with simple dynamical ultrametricity. Nevertheless the behaviour of the systems, even in <b>6 d</b> is very different from the mean field SK model results.

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