Aging dynamics of ±J. Edwards-Anderson spin glasses

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  • Authors:
  • D. A. Stariolo
  • M. A. Montemurro
  • F. A. Tamarit

Abstract

We analyze by means of extensive computer simulations the out of equilibrium dynamics of Edwards-Anderson spin glasses in d = 4 and d = 6 dimensions with ±J interactions. In particular, we focus our analysis on the scaling properties of the two-time autocorrelation function in a wide range of temperatures from T = 0.07T c to T = 0.75T c in both systems. In both the 4d and 6d 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 T ≥ 0.5T c in 4d and 6d we find logarithmic scalings that are compatible with simple dynamical ultrametricity. Nevertheless the behaviour of the systems, even in 6d is very different from the mean field SK model results. © EDP Sciences, Società Italiana, di Fisica, Springer-Verlag 2003.

Bibliographical metadata

Original languageEnglish
Pages (from-to)361-367
Number of pages6
JournalEuropean Physical Journal B
Volume32
Issue number3
DOIs
Publication statusPublished - 2003