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

TL;DR

This paper investigates the infection times in a kinetically constrained model on polluted two- and three-dimensional lattices, providing bounds for low pollution densities, which enhances understanding of how environmental pollution affects dynamic processes.

Contribution

It introduces bounds on infection times in the Fredrickson-Andersen model on polluted lattices, a novel analysis for low pollution densities in such kinetically constrained systems.

Findings

Bounds on infection time for low pollution density

Analysis on 2D and 3D polluted lattices

Insights into the effect of pollution on dynamic constraints

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.