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Novel glassy behavior in a ferromagnetic p-spin model

Michael R. Swift·Hemant Bokil·Rui D. M. Travasso·Alan J. Bray
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Abstract

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 non-equilibrium timescale that appears to diverge at a well defined temperature, and (iv) low temperature aging behaviour characteristic of glasses.

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Michael R. Swift, Hemant Bokil, Rui D. M. Travasso, Alan J. Bray. 2000-03-23. Novel glassy behavior in a ferromagnetic p-spin model. https://doi.org/10.1103/physrevb.62.11494

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