• Corpus ID: 221687316

TIME SCALES OF THE FREDRICKSON-ANDERSEN MODEL ON POLLUTED Z AND Z

@inproceedings{Shapira2019TIMESO,
  title={TIME SCALES OF THE FREDRICKSON-ANDERSEN MODEL ON POLLUTED Z AND Z},
  author={Assaf Shapira and Erik Slivken},
  year={2019}
}
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. 
1 Citations

Figures from this paper

Bisection for kinetically constrained models revisited
The bisection method for kinetically constrained models (KCM) of Cancrini, Martinelli, Roberto and Toninelli is a vital technique applied also beyond KCM. In this note we present a new way of

References

SHOWING 1-10 OF 31 REFERENCES
Kinetically constrained models with random constraints
TLDR
Two kinetically constrained models in a quenched random environment are studied and the effect of the random environment on each of them is understood, and three time scales related to these models are compared.
Bootstrap percolation in a polluted environment
Let a low densityp of sites on the lattice Z2 be occupied, remove a proportionq of them, and call the remaining sites empty. Then update this configuration in discrete time by iteration of the
Metastable behavior of bootstrap percolation on Galton-Watson trees
  • A. Shapira
  • Mathematics
    Latin American Journal of Probability and Mathematical Statistics
  • 2019
We analyze the metastable states near criticality of the bootstrap percolation on Galton-Watson trees. We find that, depending on the exact choice of the offspring distribution, it is possible to
Kinetically constrained spin models
We analyze the density and size dependence of the relaxation time for kinetically constrained spin models (KCSM) intensively studied in the physics literature as simple models sharing some of the
Exact asymptotics for Duarte and supercritical rooted kinetically constrained models
Kinetically constrained models (KCM) are reversible interacting particle systems on $\mathbb Z^d$ with continuous time Markov dynamics of Glauber type, which represent a natural stochastic (and
Lectures on Glauber dynamics for discrete spin models
These notes have been the subject of a course I gave in the summer 1997 for the school in probability theory in Saint-Flour. I review in a self-contained way the state of the art, sometimes providing
Proof of Straley's argument for bootstrap percolation
We prove thatPc=1 for bootstrap percolation with large void instabilities (in particular, ifm=3 on the square lattice).
BOOTSTRAP PERCOLATION AND KINETICALLY CONSTRAINED MODELS IN HOMOGENEOUS AND RANDOM ENVIRONNEMENTS
This thesis concerns with Kinetically Constrained Models and Bootstrap Percolation, two topics in the intersection between probability, combinatorics and statistical mechanics. Kinetically
Kinetic Ising model of the glass transition
Developpement d'une theorie des graphes pour des modeles d'Ising cinetiques a retournement de spins isoles. Application a une classe de modeles de spins presentant une dynamique fortement
Towards a universality picture for the relaxation to equilibrium of kinetically constrained models
TLDR
This paper establishes a close connection between the critical scaling of characteristic time scales for KCM and the scaling of the critical length in critical bootstrap models, and applies the general method to the Friedrickson-Andersen k-facilitated models and to the Gravner-Griffeath model.
...
1
2
3
4
...