Emanuele Caglioti, François Golse
Published 2007-10-03, updated 2007-10-04Version 2
The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius $r$ centered at the integer points, assuming all collisions of the particle with the obstacles to be elastic. In this Note, we study this motion on time intervals of order $1/r$ and in the limit as $r\to 0^+$, in the case of two space dimensions.
Journal: C. R. Math. Acad. Sci. Paris 346 (2008), no. 7-8, 477-482
The Boltzmann-Grad limit of the periodic Lorentz gas
The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems
On the distribution of free-path lengths for the periodic Lorentz gas III
![QR code for arXiv:0710.0716 [math.DS]](http://oss.arxitics.com/images/favicon.svg)