Quantitative Rates of Convergence to Non-equilibrium Steady State for a Weakly Anharmonic Chain of Oscillators

@article{Menegaki2020QuantitativeRO,
  title={Quantitative Rates of Convergence to Non-equilibrium Steady State for a Weakly Anharmonic Chain of Oscillators},
  author={Angeliki N. Menegaki},
  journal={Journal of Statistical Physics},
  year={2020},
  pages={1-42}
}
  • A. Menegaki
  • Published 25 September 2019
  • Mathematics
  • Journal of Statistical Physics
We study a 1-dimensional chain of N weakly anharmonic classical oscillators coupled at its ends to heat baths at different temperatures. Each oscillator is subject to pinning potential and it also interacts with its nearest neighbors. In our set up both potentials are homogeneous and bounded (with N dependent bounds) perturbations of the harmonic ones. We show how a generalised version of Bakry–Emery theory can be adapted to this case of a hypoelliptic generator which is inspired by Baudoin (J… 
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