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}
}
  • Manuel Cabezas, Leonardo T. Rolla, Vladas Sidoravicius
  • Published 2014
  • Mathematics, Physics
  • 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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