# Non-equilibrium Phase Transitions: Activated Random Walks at Criticality

@article{Cabezas2014NonequilibriumPT, title={Non-equilibrium Phase Transitions: Activated Random Walks at Criticality}, author={Manuel Cabezas and Leonardo T. Rolla and Vladas Sidoravicius}, journal={Journal of Statistical Physics}, year={2014}, volume={155}, pages={1112-1125} }

In this paper we present rigorous results on the critical behavior of the Activated Random Walk model. We conjecture that on a general class of graphs, including $$\mathbb Z^d$$Zd, and under general initial conditions, the system at the critical point does not reach an absorbing state. We prove this for the case where the sleep rate $$\lambda $$λ is infinite. Moreover, for the one-dimensional asymmetric system, we identify the scaling limit of the flow through the origin at criticality. The… CONTINUE READING

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