Invariance Principle for the Periodic Lorentz Gas in the Boltzmann-grad Limit
نویسنده
چکیده
In earlier work we showed that the particle displacement for the multidimensional periodic Lorentz gas, in the limit of low scatterer density (Boltzmann-Grad limit), satisfies a central limit theorem with superdiffusive scaling. The present paper extends this result to a functional central limit theorem, i.e., the weak convergence of the particle trajectory to Brownian motion.
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Kinetic Transport in the Two-dimensional Periodic Lorentz Gas
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