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具有反常遍历率的保守相互作用粒子系统

Conservative interacting particles system with anomalous rate of ergodicity

Zdzislaw Brzeźniak, Franco Flandoli, Misha Neklyudov, Boguslaw Zegarliński

备注：
16 pages; In the previous version there was a mistake in the proof of uniqueness of weak Leray solution. Uniqueness had been claimed in a space of solutions which was too large (see remark 2.6 for more details). Now the mistake is corrected by introducing a new class of moderate solutions (see definition 2.10) where we have both existence and uniqueness
发表信息：
J. stat. phys. (2011), 144: 1171-1185
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摘要：

分析了一类保守相互作用粒子系统，建立了系统对一族不变测度的遍历性。此外，我们证明了收敛速度的平衡点是指数。这个结果是有趣的，因为它提供了物理学家标准假设的反例，保守系统隐含多项式收敛速率。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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