On the Boltzmann equation for the Lorentz gas

@article{Boldrighini1983OnTB,
  title={On the Boltzmann equation for the Lorentz gas},
  author={Carlo Boldrighini and Leonid A. Bunimovich and Ya. G. Sinai},
  journal={Journal of Statistical Physics},
  year={1983},
  volume={32},
  pages={477-501}
}
We consider the Boltzmann-Grad limit for the Lorentz, or wind-tree, model. We prove that if ω is a fixed configuration of scatterer centers belonging to a set of full measure with respect to the Poisson distribution with parameter λ>0, then the evolution of an initial a.c. particle density tends in the Boltzmann-Grad limit to the solution of the Boltzmann equation for the model. As an intermediate step we prove that the process of the free path lengths and impact parameters induced by the… CONTINUE READING

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