Infinite ergodic index of the ehrenfest wind-tree model

Alba Málaga; Serge Troubetzkoy

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arXiv · 1701.04585

Infinite ergodic index of the ehrenfest wind-tree model

Alba Málaga·Serge Troubetzkoy

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Abstract

The set of all possible configurations of the Ehrenfest wind-tree model endowed with the Hausdorff topology is a compact metric space. For a typical configuration we show that the wind-tree dynamics has infinite ergodic index in almost every direction. In particular some ergodic theorems can be applied to show that if we start with a large number of initially parallel particles their directions decorrelate as the dynamics evolve answering the question posed by the Ehrenfests.

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Alba Málaga, Serge Troubetzkoy. 2017-03-15. Infinite ergodic index of the ehrenfest wind-tree model. https://arxiv.org/abs/1701.04585

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