The Boltzmann-grad Limit of the Periodic Lorentz Gas

نویسنده

  • JENS MARKLOF
چکیده

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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تاریخ انتشار 2008