Freezing transitions in non-Fellerian particle systems

Details Freezing transitions in non-Fellerian particle systems Freezing transitions in non-Fellerian particle systems

2005-12-22

arxiv.org/abs/math/0512525v1

Mathematics

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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

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