English

Time Scales of the Fredrickson-Andersen Model on Polluted $\mathbb{Z}^{2}$ and $\mathbb{Z}^{3}$

Probability 2019-06-25 v1

Abstract

We study the Kinetically Constrained Model on the polluted square lattice, with two-neighbor constraints. For a quenched polluted environment with low pollution density we give bounds on the infection time of the origin.

Keywords

Cite

@article{arxiv.1906.09949,
  title  = {Time Scales of the Fredrickson-Andersen Model on Polluted $\mathbb{Z}^{2}$ and $\mathbb{Z}^{3}$},
  author = {Assaf Shapira and Erik Slivken},
  journal= {arXiv preprint arXiv:1906.09949},
  year   = {2019}
}

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20 pages