Aging dynamics of the +-J Edwards Anderson spin glasses

DANIEL STARIOLO, MARCELO MONTEMURRO, FRANCISCO TAMARIT

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

Año: 2003 vol. 32 p. 361 - 367

1434-6028

 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 = 0.07Tc to T = 0.75Tc 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 ≥ 0.5Tc 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