Conservative interacting particles system with anomalous rate of ergodicity

Details Conservative interacting particles system with anomalous rate of ergodicity Conservative interacting particles system with anomalous rate of ergodicity

2010-12-02

arxiv.org/abs/1012.0582v2

Mathematics

Probability

16 pages; In the previous version there was a mistake in the proof of uniqueness of weak Leray solution. Uniqueness had been c

Scientific paper

We analyze certain conservative interacting particle system and establish
ergodicity of the system for a family of invariant measures. Furthermore, we
show that convergence rate to equilibrium is exponential. This result is of
interest because it presents counterexample to the standard assumption of
physicists that conservative system implies polynomial rate of convergence.

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