Infinite ergodic index of the ehrenfest wind-tree model - Archive ouverte HAL Access content directly
Journal Articles Communications in Mathematical Physics Year : 2018

Infinite ergodic index of the ehrenfest wind-tree model

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.

Keywords

Fichier principal
Vignette du fichier
cmp.final.pdf (195.8 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01433019 , version 1 (12-01-2017)
hal-01433019 , version 2 (14-03-2017)
hal-01433019 , version 3 (28-09-2017)

Identifiers

Cite

Alba Málaga Sabogal, Serge Troubetzkoy. Infinite ergodic index of the ehrenfest wind-tree model. Communications in Mathematical Physics, 2018, 358 (3), pp.995-1006. ⟨10.1007/s00220-017-3058-8⟩. ⟨hal-01433019v3⟩
399 View
500 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More