Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2020
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2009.09491 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911244367167488 |
|---|---|
| author | Hoffman, Christopher Richey, Jacob Rolla, Leonardo T. |
| author_facet | Hoffman, Christopher Richey, Jacob Rolla, Leonardo T. |
| contents | We consider the Activated Random Walk model on $\mathbb{Z}$. In this model, each particle performs a continuous-time simple symmetric random walk, and falls asleep at rate $λ$. A sleeping particle does not move but it is reactivated in the presence of another particle. We show that for any sleep rate $λ< \infty$ if the density $ ζ$ is close enough to $1$ then the system stays active. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_09491 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Active Phase for Activated Random Walk on Z Hoffman, Christopher Richey, Jacob Rolla, Leonardo T. Probability Mathematical Physics We consider the Activated Random Walk model on $\mathbb{Z}$. In this model, each particle performs a continuous-time simple symmetric random walk, and falls asleep at rate $λ$. A sleeping particle does not move but it is reactivated in the presence of another particle. We show that for any sleep rate $λ< \infty$ if the density $ ζ$ is close enough to $1$ then the system stays active. |
| title | Active Phase for Activated Random Walk on Z |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2009.09491 |