The Lorentz process converges to a random flight process

@article{Spohn1978TheLP,
  title={The Lorentz process converges to a random flight process},
  author={Herbert Spohn},
  journal={Communications in Mathematical Physics},
  year={1978},
  volume={60},
  pages={277-290}
}
The Lorentz process is the stochastic process defined by a particle moving, according to Newton's law of motion, through static scatterers distributed according to some probability measure in space. We consider the Boltzmann-Grad limit: The density of scatterers increases to infinity and at the same time the diameter of the scatterers decreases to zero in such a way that the mean free path of the particle is kept constant. We show that the Lorentz process converges in the weak*-topology of… CONTINUE READING

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