论文标题

Lorentz的过程几乎是散射器的周期性分布

The Lorentz Process with a Nearly Periodic Distribution of Scatterers

论文作者

Wennberg, Bernt

论文摘要

我们考虑了散射器的分布中的洛伦兹气体,该分布将显微镜收敛到周期性分布,并证明低密度极限中的洛伦兹气体满足线性玻尔兹曼方程。这与周期性洛伦兹气体相反,该气体不满足极限内的玻尔兹曼方程。

We consider the Lorentz gas in a distribution of scatterers which microscopically converges to a periodic distribution, and prove that the Lorentz gas in the low density limit satisfies a linear Boltzmann equation. This is in contrast with the periodic Lorentz gas, which does not satisfy the Boltzmann equation in the limit.

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