English

Fredrickson--Andersen model in two dimensions

Disordered Systems and Neural Networks 2024-01-31 v1 Statistical Mechanics Mathematical Physics math.MP Probability

Abstract

The present expository 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.

Keywords

Cite

@article{arxiv.2205.02297,
  title  = {Fredrickson--Andersen model in two dimensions},
  author = {Ivailo Hartarsky and Fabio Martinelli and Cristina Toninelli},
  journal= {arXiv preprint arXiv:2205.02297},
  year   = {2024}
}

Comments

11 pages, 1 figure, journ\'ees MAS 2020. arXiv admin note: text overlap with arXiv:2012.02557

R2 v1 2026-06-24T11:07:32.245Z