Recent work has suggested the existence of glassy behavior in a ferromagnetic model with a four-spin interaction. Motivated by these findings, we have studied the dynamics of this model using Monte Carlo simulations with particular attention being paid to two-time quantities. We find that the system shares many features in common with glass forming liquids. In particular, the model exhibits (i) a very long-lived metastable state, (ii) autocorrelation functions that show stretched exponential relaxation, (iii) a nonequilibrium time scale that appears to diverge at a well defined temperature, and (iv) low temperature aging behavior characteristic of glasses.

• Received 23 March 2000

DOI:https://doi.org/10.1103/PhysRevB.62.11494