• Corpus ID: 119694285

Ergodic properties of random billiards driven by thermostats

  title={Ergodic properties of random billiards driven by thermostats},
  author={Konstantin Khanin and Tatiana Yarmola},
  journal={arXiv: Mathematical Physics},
We consider a class of mechanical particle systems interacting with thermostats. Particles move freely between collisions with disk-shaped thermostats arranged periodically on the torus. Upon collision, an energy exchange occurs, in which a particle exchanges its tangential component of the velocity for a randomly drawn one from the Gaussian distribution with the variance proportional to the temperature of the thermostat. In the case when all temperatures are equal one can write an explicit… 

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