Damage-spreading and out-of-equilibrium dynamics on the low-temperature regime of the two-dimensional +/-J Edwards-Anderson model

M. L. RUBIO PUZZO; F. ROMÁ; S. BUSTINGORRY; P. M. GLEISER

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

IOP PUBLISHING LTD

Lugar: Trieste, Italia; Año: 2010 p. 9017 - 9031

1742-5468

We present results showing the correlation between the out-of-equilibrium dynamics and the equilibrium damage-spreading process in the two-dimensional ±J Edwards–Anderson model at low temperatures. A key ingredient in our analysis is the projection of finite temperature spin configurations onto the ground state topology of the system. In particular, through numerical simulations we correlate ground state information with the out-of-equilibrium dynamics. We also analyse how the propagation of a small perturbation in equilibrated systems is related to the ground state topology. This damage-spreading study unveils the presence of rigid clusters of spins. We claim that these clusters give rise to the slow out-of-equilibrium dynamics observed in the temperature range between the glass temperature Tg = 0 of the two-dimensional ±J Edwards–Anderson model and the critical temperature Tc of the pure ferromagnetic Ising model.