Propagation of Chaos for a Thermostated Kinetic Model

@article{Bonetto2014PropagationOC,
  title={Propagation of Chaos for a Thermostated Kinetic Model},
  author={Fabi{\'a}n J. Bonetto and Eric A. Carlen and Raffaele Esposito and Joel L Lebowitz and Rossana Marra},
  journal={Journal of Statistical Physics},
  year={2014},
  volume={154},
  pages={265-285}
}
  • Fabián J. Bonetto, Eric A. Carlen, +2 authors Rossana Marra
  • Published 2014
  • Physics, Mathematics
  • Journal of Statistical Physics
  • We consider a system of N point particles moving on a d-dimensional torus $\mathbb{T}^{d}$. Each particle is subject to a uniform field E and random speed conserving collisions $\mathbf{v}_{i}\to\mathbf{v}_{i}'$ with $|\mathbf{v}_{i}|=|\mathbf{v}_{i}'|$. This model is a variant of the Drude-Lorentz model of electrical conduction (Ashcroft and Mermin in Solid state physics. Brooks Cole, Pacific Grove, 1983). In order to avoid heating by the external field, the particles also interact with a… CONTINUE READING

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