Thermalization of Isolated Harmonic Networks Under Conservative Noise

@article{Lepri2022ThermalizationOI,
  title={Thermalization of Isolated Harmonic Networks Under Conservative Noise},
  author={Stefano Lepri},
  journal={Journal of Statistical Physics},
  year={2022},
  volume={190},
  pages={1-29}
}
  • S. Lepri
  • Published 5 May 2022
  • Physics
  • Journal of Statistical Physics
We study a scalar harmonic network with pair interactions and a binary collision rule, exchanging the momenta of a randomly-chosen couple of sites. We consider the case of the isolated network where the total energy is conserved. In the first part, we recast the dynamics as a stochastic map in normal modes (or action-angle) coordinates and provide a geometric interpretation of it. We formulate the problem for generic networks but, for completeness, also reconsider the translation-invariant… 

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