# 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…

## 6 Citations

Self-diffusion coefficient in the Kob-Andersen model

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We study a general class of interacting particle systems called kinetically constrained models (KCM) in two dimensions tightly linked to the monotone cellular automata called bootstrap percolation.…

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We study a general class of interacting particle systems called kinetically constrained models (KCM) in two dimensions tightly linked to the monotone cellular automata called bootstrap percolation.…

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. 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…

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- MathematicsThe Annals of Probability
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We study a model of competition between two types evolving as branching random walks on $\mathbb{Z}^d$. The two types are represented by red and blue balls respectively, with the rule that balls of…

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