Diffusive bounds for the critical density of activated random walks

Abstract

We consider symmetric activated random walks on $\mathbb{Z}$, and show that the critical density ${\zeta }_c$ satisfies $c\sqrt{\lambda }\le {\zeta }_c(\lambda )\le C\sqrt{\lambda }$ where $\lambda$ denotes the sleep rate.

Cited by in corpus (2)

• Activated Random Walks on ${\mathbb{Z}}^d$
• The Critical Density for Activated Random Walks is always less than 1