Front evolution of the Fredrickson-Andersen one spin facilitated model
Year: 2018
Type: preprint
Abstract: The Fredrickson-Andersen one spin facilitated model (FA-1f) on Z belongs to the class of kinetically constrained spin models (KCM). Each site refreshes with rate one its occupation variable to empty (respectively occupied) with probability q (respectively $p = 1 - q$), provided at least one nearest neighbor is empty. Here, we study the non equilibrium dynamics of FA-1f started from a configuration entirely occupied on the left half-line and focus on the evolution of the front, namely the position of the leftmost zero. We prove, for q larger than a threshold $\bar{q} < 1$, a law of large numbers and a central limit theorem for the front, as well as the convergence to an invariant measure of the law of the process seen from the front.
Source: arXiv (Cornell University)
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G169068394, Large Stochastic Dynamical Models in Non-Equilibrium Statistical Physics, PROJET AVENIR LYON SAINT-ETIENNE, Percolation and first-passage percolation, Community of mathematics and fundamental computer science in Lyon, G4866930200, G5420063140, Interacting Random Walks, G6494969328, G7240651115, G7376787254, G7835500200
OpenAlex ID: W4302801919