The Boltzmann-Grad limit of the periodic Lorentz gas

Details The Boltzmann-Grad limit of the periodic Lorentz gas The Boltzmann-Grad limit of the periodic Lorentz gas

2008-01-03

arxiv.org/abs/0801.0612v1

Mathematics

Dynamical Systems

51 pages

Scientific paper

We study the dynamics of a point particle in a periodic array of spherical
scatterers, and construct a stochastic process that governs the time evolution
for random initial data in the limit of low scatterer density (Boltzmann-Grad
limit). A generic path of the limiting process is a piecewise linear curve
whose consecutive segments are generated by a Markov process with memory two.

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