Absorbing-state phase transition for driven-dissipative stochastic dynamics on ℤ

  title={Absorbing-state phase transition for driven-dissipative stochastic dynamics on ℤ},
  author={Leonardo T. Rolla and Vladas Sidoravicius},
  journal={Inventiones mathematicae},
We study the long-time behavior of conservative interacting particle systems in ℤ: the activated random walk model for reaction-diffusion systems and the stochastic sandpile. We prove that both systems undergo an absorbing-state phase transition. 

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