English

Novel glassy behavior in a ferromagnetic p-spin model

Statistical Mechanics 2009-10-31 v1 Disordered Systems and Neural Networks

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.

Keywords

Cite

@article{arxiv.cond-mat/0003384,
  title  = {Novel glassy behavior in a ferromagnetic p-spin model},
  author = {Michael R. Swift and Hemant Bokil and Rui D. M. Travasso and Alan J. Bray},
  journal= {arXiv preprint arXiv:cond-mat/0003384},
  year   = {2009}
}

Comments

6 pages, 5 figures

R2 v1 2026-07-22T10:01:29.437Z