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The Boltzmann-Grad limit of a stochastic Lorentz gas in a force field
by L. Desvillettes   V. Ricci

Vol. 2 No. 2 (2007) P.637~P.648

ABSTRACT

We analyze the behavior of the stochastic Lorentz gas in the presence of a force fi eld and we show how can be rigorously proved that certain (very smooth) fields prevent the process obtained by the Boltzmann-Grad limit from being Markovian. The markovianity of the limit can be recovered by introducing a slightly diff erent setting which allows this difficulty to be removed.

KEYWORDS
Lorentz gas, linear Boltzmann equation, non Markovian

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 82C40, 82C21, 60K35

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