• Corpus ID: 227305306

Sharp threshold for the FA-2f kinetically constrained model

@article{Hartarsky2020SharpTF,
  title={Sharp threshold for the FA-2f kinetically constrained model},
  author={Ivailo Hartarsky and Fabio Martinelli and Cristina Toninelli},
  journal={arXiv: Probability},
  year={2020}
}
The Fredrickson-Andersen 2-spin facilitated model on $\mathbb{Z}^d$ (FA-2f) is a paradigmatic interacting particle system with kinetic constraints (KCM) featuring dynamical facilitation, an important mechanism in condensed matter physics. In FA-2f a site may change its state only if at least two of its nearest neighbours are empty. The process, while reversible w.r.t. a product Bernoulli measure, has degenerate jumps rates because of the constraints and it is non-attractive, with an anomalous… 

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