Absorbing-State Phase Transition for Driven-Dissipative Stochastic Dynamics on $Z$

Details Absorbing-State Phase Transition for Driven-Dissipative Stochastic Dynamics on $Z$ Absorbing-State Phase Transition for Driven-Dissipative Stochastic Dynamics on $Z$

2009-08-10

arxiv.org/abs/0908.1152v4

Mathematics

Probability

Scientific paper

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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