Universality Conjectures for Activated Random Walk
Probability
2023-06-16 v2 Mathematical Physics
math.MP
Abstract
Activated Random Walk is a particle system displaying Self-Organized Criticality, in that the dynamics spontaneously drive the system to a critical state. How universal is this critical state? We state many interlocking conjectures aimed at different aspects of this question: scaling limits, microscopic limits, temporal and spatial mixing, incompressibility, and hyperuniformity.
Cite
@article{arxiv.2306.01698,
title = {Universality Conjectures for Activated Random Walk},
author = {Lionel Levine and Vittoria Silvestri},
journal= {arXiv preprint arXiv:2306.01698},
year = {2023}
}
Comments
22 pages, 10 figures