Absorbing-State Phase Transition for Driven-Dissipative Stochastic Dynamics on $Z$
Probability
2019-05-13 v7 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We study the long-time behavior of conservative interacting particle systems in : the activated random walk model for reaction-diffusion systems and the stochastic sandpile. We prove that both systems undergo an absorbing-state phase transition.
Keywords
Cite
@article{arxiv.0908.1152,
title = {Absorbing-State Phase Transition for Driven-Dissipative Stochastic Dynamics on $Z$},
author = {Leonardo T. Rolla and Vladas Sidoravicius},
journal= {arXiv preprint arXiv:0908.1152},
year = {2019}
}