A ferromagnet with a glass transition

2001/03/31 by Silvio Franz, S. Franz, Marc Mézard +7 · 7 citations
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1209/epl/i2001-00438-4

published as Europhys. Lett. 55 (2001) 465 · 7 pages, 2 figures, uses epl.cls (included)

openalex publication_date 2001/08/01 · arxiv created 2001/08/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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.-1

Citations

• Cooling-rate effects in a model of glasses

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