Universality and Sharpness in Absorbing-State Phase Transitions
Probability
2019-02-05 v3 Mathematical Physics
math.MP
Abstract
We consider the Activated Random Walk model in any dimension with any sleep rate and jump distribution and ergodic initial state. We show that the stabilization properties depend only on the average density of particles, regardless of how they are initially located on the lattice.
Cite
@article{arxiv.1707.06081,
title = {Universality and Sharpness in Absorbing-State Phase Transitions},
author = {Leonardo T. Rolla and Vladas Sidoravicius and Olivier Zindy},
journal= {arXiv preprint arXiv:1707.06081},
year = {2019}
}