Freezing transitions in non-Fellerian particle systems
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Non-Fellerian processes show phenomena that are unseen in standard interacting particle systems. We consider freezing transitions in one-dimensional non-Fellerian processes which are built from the abelian sandpile additions to which in one case, spin flips are added, and in another case, the so called anti-sandpile subtractions. In the first case and as a function of the sandpile addition rate, there is a sharp transition from a non-trivial invariant measure to the invariant measure of the sandpile process. For the combination sandpile plus anti-sandpile, there is a sharp transition from one frozen state to the other anti-state
Keywords
Cite
@article{arxiv.math/0512525,
title = {Freezing transitions in non-Fellerian particle systems},
author = {C. Maes and F. Redig and E. Saada},
journal= {arXiv preprint arXiv:math/0512525},
year = {2007}
}