Dynamical Phase Transitions in 3-Dimensional Spin Glasses

Abstract

We study the time evolution of the distance between two configurations submitted to the same thermal noise for the 3d ± J Ising spin glass. We observe three temperature regimes: a high-temperature regime where the distances vanishes in the long-time limit. An intermediate-temperature regime where the distance has a nonzero limit independent of the initial distance. A low-temperature regime where the distance in the long time limit seems to depend upon the initial distance. For the sake of comparison, we have repeated our simulations for the ferromagnetic case.