Mixing rates of particle systems with energy exchange

@article{Grigo2012MixingRO,
  title={Mixing rates of particle systems with energy exchange},
  author={A. Grigo and K. Khanin and D. Sz{\'a}sz},
  journal={Nonlinearity},
  year={2012},
  volume={25},
  pages={2349-2376}
}
A fundamental problem of non-equilibrium statistical mechanics is the derivation of macroscopic transport equations in the hydrodynamic limit. The rigorous study of such limits requires detailed information about rates of convergence to equilibrium for finite sized systems. In this paper, we consider the finite lattice {1, 2, ..., N}, with an energy xi ∈ (0, ∞) associated with each site. The energies evolve according to a Markov jump process with nearest neighbour interaction such that the… Expand
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