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

@article{Rolla2012AbsorbingstatePT, title={Absorbing-state phase transition for driven-dissipative stochastic dynamics on ℤ}, author={Leonardo T. Rolla and Vladas Sidoravicius}, journal={Inventiones mathematicae}, year={2012}, volume={188}, pages={127-150} }

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.

## 48 Citations

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