Absorbingstate phase transition for drivendissipative stochastic dynamics on &Z;
Abstract
We study the longtime behavior of conservative interacting particle systems in $Z$: the activated random walk model for reactiondiffusion systems and the stochastic sandpile. We prove that both systems undergo an absorbingstate phase transition.
 Publication:

Inventiones Mathematicae
 Pub Date:
 April 2012
 DOI:
 10.1007/s0022201103445
 arXiv:
 arXiv:0908.1152
 Bibcode:
 2012InMat.188..127R
 Keywords:

 Mathematics  Probability;
 Condensed Matter  Statistical Mechanics;
 Mathematical Physics
 EPrint:
 Inventiones Mathematicae, v. 188, p. 127150 (2012)