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.
- Pub Date:
- April 2012
- Mathematics - Probability;
- Condensed Matter - Statistical Mechanics;
- Mathematical Physics
- Inventiones Mathematicae, v. 188, p. 127-150 (2012)