A ferromagnet with a glass transition
Disordered Systems and Neural Networks
2009-11-07 v2 Statistical Mechanics
Abstract
We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low temperature which is not reached dynamically in a quench from the high-temperature phase. Instead it shows a glass transition which can be studied in detail by a one step replica-symmetry broken calculation. This spin model exhibits the main properties of the structural glass transition at a solvable mean-field level.
Cite
@article{arxiv.cond-mat/0103026,
title = {A ferromagnet with a glass transition},
author = {S. Franz and M. Mezard and F. Ricci-Tersenghi and M. Weigt and R. Zecchina},
journal= {arXiv preprint arXiv:cond-mat/0103026},
year = {2009}
}
Comments
7 pages, 2 figures, uses epl.cls (included)