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arXiv 1301.4034math-phmath.DSmath.MP
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某些具有粒子-盘相互作用的开放系统的遍历性

Ergodicity of some open systems with particle-disk interactions

Tatiana Yarmola

摘要:

我们考虑一类机械系统的粒子-磁盘相互作用耦合到两个,可能是不平等的,热浴的稳定状态。我们证明了任何满足一些自然假设的稳态是遍历的,并且关于Lebesgue型参考测度是绝对连续的,并得出结论,最多存在一个绝对连续的稳态。

英文摘要:

We consider steady states for a class of mechanical systems with particle-disk interactions coupled to two, possibly unequal, heat baths. We show that any steady state that satisfies some natural assumptions is ergodic and absolutely continuous with respect to a Lebesgue-type reference measure and conclude that there exists at most one absolutely continuous steady state.

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