| Issue |
ESAIM: ProcS
Volume 74, 2023
Journées MAS 2020 - Random Modelization and Physics
|
|
|---|---|---|
| Page(s) | 108 - 118 | |
| DOI | https://doi.org/10.1051/proc/202374108 | |
| Published online | 18 December 2023 | |
Fredrickson–Andersen model in two dimensions*
1
CEREMADE, CNRS, UMR 7534, Université Paris-Dauphine, PSL University, Place du Maréchal de Lattre de Tassigny, 75016 Paris, France
2
Dipartimento di Matematica e Fisica, Università Roma Tre, Largo S.L. Murialdo, 00146, Roma, Italy
3
CEREMADE, CNRS, UMR 7534, Université Paris-Dauphine, PSL University, Place du Maréchal de Lattre de Tassigny, 75016 Paris, France
The present article overviews recent mathematical advances on the Fredrickson–Andersen kinetically constrained spin model in two dimensions. It was introduced in physics as a toy model for recovering the glassy phenomenology in supercooled liquids close to the glass transition via dynamic constraints as opposed to static interactions.
Résumé
Dans cet article on passe en revue des avancées mathématiques récentes sur le modèle cinétiquement contraint de Fredrickson–Andersen en deux dimensions. Il fut introduit en physique comme modèle jouet pour reproduire la phénoménologie des liquides surfondus près de la transition vitreuse, moyennant une dynamique contrainte plutôt que des interactions statiques.
Mathematics Subject Classification: Primary 60K35 / Secondary 82C22 / 60J27 / 60C05
Key words: Kinetically constrained models / interacting particle systems / sharp threshold / bootstrap percolation / Glauber dynamics / Poincaré inequality
© EDP Sciences, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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