Sub-exponential mixing of random billiards driven by thermostats

@article{Yarmola2013SubexponentialMO,
  title={Sub-exponential mixing of random billiards driven by thermostats},
  author={Tatiana Yarmola},
  journal={Nonlinearity},
  year={2013},
  volume={26},
  pages={1825 - 1837}
}
  • T. Yarmola
  • Published 17 January 2013
  • Mathematics
  • Nonlinearity
We study the class of open continuous-time mechanical particle systems introduced in the paper by Khanin and Yarmola (2013 Commun. Math. Phys. 320 121–47). Using the discrete-time results from Khanin and Yarmola (2013 Commun. Math. Phys. 320 121–47) we demonstrate rigorously that, in continuous time, a unique steady state exists and is sub-exponentially mixing. Moreover, all initial distributions converge to the steady state and, for a large class of initial distributions, convergence to the… 
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